^B
IN THE CUSTODY OF THE
BOSTON PUBLIC LIBRARY.
SHELF N<
ADAMS
Dr. HALLE Ts
ASTRONOMICAL TABLES.
Digitized by the Internet Archive
in 2010
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EDMUNDI HALLEII
ASTRONOMI DUM VIVERET
R E G I I
T A B U L iE
ASTRONOMIC^.
ACCEDUNT
DE USU TABULARUM PR^XEPTA.
L 0 N D I N I
Apud GULIELMUM INNYS.
MDCCXLIX.
^^AOAIdS^'^'^
ASTRONOMICAL TABLES
WITH
PRECEPTS
BOTH IN
English and Latin
For computing the Places of the
SUN, MOON, PLANETS, and COMETS.
B Y
EDMUND HALLET,-L.U1l>,
Late Regius Profeffor of Astronomy at Gree7vwich.
LONDON,
Printed for William iNNvsin Paier-nofter Row.
MDCCLII.
(GEORGE R.
GEORGE the Second, by the Grace of God, King of Great Britain,
France, and Ireland, Defender of the Faith, &c. To all to whom thefe
Prefents fliall come, <^^tttm%X Whereas Our Trufly and Wellbeloved
WILLIAM INNYS, of Our City of London, Bookfeller, hath, by his Pe-
tition, humbly reprefented unto Us, That he hath, at great Charge and Expence,
been more than thirty Years printing a Book of Aftronomical Tables, compofed
and written by Doctor Edmund Halley, Our late Regius ProfefTor of Agronomy,
and Savilian Profeffor of Geometry, in Our Univerfity of Oxford, intituled,
Edmundi Halleii Afirononii dum viveret Regit Tabulce AJl?'onomicce. Accediint de Ufa
Tabulariim Prcecepta : And that the fole Right and Title of the Copy of the faid
Book, is vefted in him, the faid WI LLIAM INNYS, wherefore he hath
moft humbly befought Us to grant him Our Royal Privilege and Licence, for the
fole Printing and Publifliing the fame, for the Term of fourteen Years. We,
being willing to give all due Encouragement to Works which may tend to the
Advancement of Learning, are gracioufly pleafed to gratify him in his Requeft ;
and do, therefore, by thefe Prefents, fo far as it may be agreeable to the Statute
in that Behalf made and provided, for Us, Our Heirs, and SuccefTors, give and
grant unto him, the faid WILLIAM INNYS, his Executors, Adminiftra-
tors, and Affigns, Our Royal Licence for the fole Printing and Publifhing the faid
Book, for the Term of fourteen Years, to be computed from the Date hereof;
Stridly forbidding all Our Subjedls, within Our Kingdoms and Dominions, to
reprint the fame, either in the like or in any other Volume or Volumes whatfo-
ever ; or, to import, buy, vend, utter, or diftrlbute, any Copies thereof, re-
printed, beyond the Seas, during the aforefald Term of fourteen Years, without
the Confcnt or Approbation of the faid WILLIAM INNYS, his Heirs,
Executors, and Affigns, by Writing under his, or their, Hands and Seals, firft
had and obtained for that Purpofe, as They, and every of Them, offending
herein, will anfwer the contrary at Their Peril ; Whereof the Commiffioners and
other Officers of Our Cuftoms, the Mafter, Wardens, and Company of Stationers,
are to take Notice, That due Obedience may be rendered to Our Pleafure herein
declared.
Given at Our Court at Kenfington, the Eighth Day of Auguft, 1749, in the
Twenty-third Year of Our Reign.
By His Majejlys Command^
HOLLIS NEWCASTLE.
PREFACE.
WE here offer to the Fublic the celebrated Dr. Halky'j long ex-
feSied Tables of the Sun and Planets^ which were fent to the
Prefs in the year 1 7 1 7> and printed off in 1 7 1 9. There wanted
only Precepts for ujing them^ and fome few Tables commonly infer ted in
nsoorks of this kind,^ when in the year 1720 our Author being appointed Sue-
ceffor to Mr. Flamfteed in the Royal Obfervatory^ laid afide the thoughts
of publifhing them fo foon as he had intended^ that he might compare the
Lunar numbers with his own Obfervations, and thereby be enabled to pub-
Jifj a Table of their Errors at the fame ti7ne. He had lojig earneflly
wifhed to fee fomewhat of this kind done by others, that the quaittities offuch
Equations of the Mco7i as are already know7i, might be 7?ioreexaBly deter-
mined, andfuch as are fill U7thmwn, difcovered. And relying on theun-
co7n7non vigour of his confitution he u7idertook this laborious work hi77ifelfin
the 6^thyear of his age, and beyond all expeBation cofnpleated it.
When he frfi came to the Obfervatory he found it deftitute of hiflru-
ments^for thofe which Mr. Flamfteed had ifed, bei7ighis ow7t property were
taken away by his Family : But in the year 1 7 2 1 having fixed a Tra7fit
Infiru7nent in the Meridian, he dilige7itly obferved the R. Afce7i.fions of the
Moon during the four following years, till the great Mural ^adrant was
finifhed and put up at the public expence i7t the year 1725 ; whereby he
was enabled to determi7ie her Lo7igitudes fro7n obfervation. He7tce in the Ta-
bles entitled, Luna Meridianas &c. we find the Moons obferved LQ7igi-
tudes co7npared with the Tables fro7n December 5, I'jz^, to the end.
Had our Author publiped thefe Tables hi77tfelf, he would doubtlefs have
given fo7ne account of the Obfervatio7JS he 7nade ufe of for their co7tflruBio7z ;
and perhaps might havefijewn how to correEi them i7tfo7ne places fro77i his later
Obfervations. This is not tobeexpeEiedfrQ7nus. WeJhallo7dyapprizetheReader
ifJo7ne particulars, the better to enable him tofor7n a truejudg7nent of them.
Our Author 77tade ufe chiefly of Mr. Flamfteed' j- Obfervatio7is, wMch
though taken with great care, and moft faithfully entered i?i his Booh, yet
there were too few of the Sun to deter 77iine the Solar mmtbers with fuffcient
exaSl77efs : and Dr. Halley ufed frequently to cojnplai7i of this deficie7icy.
To this it is owing that he could 7iot deter7nine either the Species or Pcfitio7z
of the Earth's Orbit exaBly ; 7nuch lefs could he difcover any Equation to
the 7notion of its Aphelion, or the other fnall Equatio7is by which its Orbit
■is affeBed : For thefe are not to be fotmd out^ nor their quantities deter-'
A piined)
The PREFACE.
rAimd^ hut hy a longferies of the niceft Ohfervations. To this we may add
that neither the Aberration of the Light of thefixt Stars, nor the Equa-
tion to the Precejfon of the EquinoEiial point Sy nor that of the Nutation of
the EartFs Axis were at that time known ; for the difcovery of all which
the world is obliged to the wonderful fkill, diligence, and fagacity of our
great Aflronomer the Reverend Dr. Bradley, E. R. S. Savilian Profejor
of AJlrono?ny in the Univerfity of Oxford, and our Author s mofl worthy
Succejfor in the Royal Obfervatory. Thefe Equations, though f mall, are
fufficient to -produce a fenfible appearance of Error in good Ohfervations^
and had greatly perplexed Mr. Flamfteed. And as all Agronomy depends
on a true knowledge of the EartFs motion in its Orbit, Errors in the So-
lar numbers cannot but produce Errors likewife in thofe of the Planets.
Such as are fenfble of the almofl infinite number of Ohfervations which
mufi be exami7ied and compared to determine the Quantities of the Lunar
Equations, will be the heft judges of the pains our Author mufi have
take7i in confiruBing his "Tables of the Moori, and of his jkill and co?Jtriv-
ajice therein. With what candor he purpofed to have imparted them ta
the Public is manifefi in that he never intended to offer them as perfeEiy
rather chufing to cinit fome Equations for whofe determination he wanted
proper Ohfervations, and at the fame time refolving to publifh what Er-
rors he fhould find in them from his own Obfervatio7is.
Our Author in finding the R. Afcenfion of the Moon by ohfervation, made
vfe of the Britannic Catalogue for the places of the Fixt Stars, in which
fome of them are ill determined -, and if we had any hopes that his Oh-
fervations woidd ever be made public it might be worth the while to give
a lifi of thofe Stars, with the quantities of their Errors, that the ob-
ferved places of the Moon deduced frofn them might he correSled.
We wifij our Author had printed his Ohfervations, for the publication
of aflronomical Ohfervations is of very great importance as they never be-
cojne obfolete like Tables, hut on the contrary the tfefulnefs offuch as are
carefully made and faithfully delivered is greatly encreafed by their anti-
quity. It were therefore much to be wijhed that the Ohfervations made'
at the Royal Obfervatory ,^ were pri?tted off from time to time at the pub-
lic expence ; for the more dilige?tt the Obferver is, the 7nore is the Public
co7icerned in the prefervation of his Labour s,^ and the lefs fuitable is th&
expence to the circumfiances of a private Perfon.
In the year 1725 Dr. Halley publifked Jome correBions of his Tables of
Merciiiy- in the Philofophical TranfaBiom (N" 386) where he deter 7nines
Th^ PREFACE.
thetmm Longitude of that Planst at the commencement of the JuUail
Tear i']2 2, to he / 19. 09. 31; and finds its mean Motion in 10a
Julian Tears 2\ 14°. 2, i 3", and the dijlance of its afcending Node from
thefirfl Star of Aries o". 15'. 41 "•
Our Author received the Tables of Jupiter' j Satellites from the Reve-
rend Dr. Bradley in the year 1718. They do not anfwer to the Obferva-
tions at this time, which was not unforefeen by their learned Author, as
appears by his Notes.
The Synopfis of the AJlronomy of Comets was printed off at the fame
time as the Tables.
The Tables entitled, Lunae Meridianss &c. were fent to the Prefs at
different times as the Author deduced them from his Obfervations.
We fhall now inform the Reader what has been done in order t7>
prepare this work for the Public.
There wanted convenient Tables of the mean ConjimSlions of the Sun and
Moon, a Table of Refra&ions, a7td another of the Longitudes and Latitudes
ef remarkable Places, all which we have iiferted in their proper order.
The Reverend Dr. Bradley very kindly favoured us with the Tables of
the mean ConjwiBions of the Sun and Moon, and that of the Lunar Peri-
ods, which were cojifiruSied in a very commodious form by that excellent
Afironomer the late Reverend Mr. Pound. The Table of Lunar Periods
is of ufe in finding the returns of Eclipfes, and therefore we have omitted
Dr. Halley V Table of the Eclipfes which had happened in 22 2> Lunations
from the year 1701 to 1718 with Equations which he had made for that
purpofe and called ' the Plinian Period, both becaufe it is lefs accurate and
after a few Periods elapfed becomes of little ufe. The Table of RefraSlions
is the fajne our Author always ufed. The Places inferted in the Table
of Longitudes and Latitudes are chiefly fuch as are remarkable either for
antient Eclipfes or modern Obfervations : We wifj the Obfervatio7^s from
which the greater part of thefn are deduced were more to be depended
on. We have retai7ied tbe Elevation of the Pole at the Royal Obferva-
tory which Mr. Flamfteed and Dr, Halley ufed in their calculations^
though it isfomewhat too ffnall.
In the Precepts we have flriSily adhered to the method Dr. Halley oh~
ferved in computing the Place of the Moon, that the Errors of computa-
tion might not differ from thofe in the Tables entitled, Luns Meridian £e
&c. For if the fourth Equation of the Moon be ufed after that of the
» See Phil. Tranf. N' 194. p. 535.
A 2 Center^
The P R E F A C E.
Center^ or that rough correBion of the argument of the fourth Equ^
tio?t direBed m the Margin of the laft page of Sheet ^bj be negleBed,
the difference of Error may fometimes amount to half a Minute^ which
would make the Errors found in the T'abk of lefs ufe in correBing the
computed Places.
And here it is proper to inform the Reader ^ that it appears from Dr.
HalleyV Papers^ that both in computing the R, Afcenfion of the Moons
Limb^ and in finding the Longitude of her Center from Obfervationy
he coTiftantly ufed the apparent injiead of the true Semidiameter of the
Moon ; and confequently from the beginning of the Table Lunae Meri-
dianse &c. to the latter end of the year 1725 frotn the New to the Full
Moons, while the Weflern Limb was obferved^ the cofnputedR. Afcenfions>
of that Limb are fet down too backward \ and during the remainder of
the Month while the Eaflern Limb was obferved, the computed R. Afcen-
fons of that Limb are fet down too forward: And from the year 1725
the Longitudes of the Moon s Center deduced from the obfervations of her
Weflern Limb are fet down too forward^ and thofe from the obferva-
tions of her Eaflern Limb too backward. This Error is not confiderable,
andfeldom exceeds a quarter of a Minute^ therefore in common cafes it
may be negleBed, for which reafon we have taken no notice of it in the
Precepts : But if any one fhall undertake to correB the Moons mean
Motion^ or to new model the Equations^ it will be neceffary to correB
the Errors found in the Table by the Excefs of the Moons apparent
Semidiameter in R. Afcenfion or Longitude^ abofve her horizontal Se-
midiameter of the like denomination.
We have endeavoured to be as concife in the Precepts as poffihle^ but for
the fake of Mariner Sy have explained the method of finding the Lon-
gitude at Sea from Obfervations of the Moon^ byfeveraLExamplei,
ADVERTISEMENT.
The Author of the Latin Precepts having been defired to revife this Tranflation of them, hath thought fit to make
fome alterations and additions»
He defires the Reader will gleafe to correft the following Errors in the Latin, which efcaped his notice while it
was printing off.
Corrigenda in Vracsptis Latinis.
P. (b) 2. 1. 22. frj> ^. 24. 4. 40. Irge, 5. 24. 4. 59. ibjd. 1. 26. pro diftantia D a O, lege, differentia^
p. (c) 1. 10. dele, maximEE. ibid. I..15. ^fA", maxim», ibid. 1. 26. 27. iw^a. Tabula ad diftantiam Lunae ai
Kyzygia propiore, litteris Rsmanis erant exprimenda. p. (d) 4. 1. 4. pro 5. 59. 47. lege, 4. 59, 47. p. (e) i. L
23. pro y lege ^. p. (e) 2. 1. 26. dele, Orbitas. p. (e) J. 1. 9. dde Orbit», p- (.Qjl 2) Aph. § pro i 12;.
lige ^ 13,. ibid. Nad. g pro y 14. lege y. 15..
Pre-
Precepts for ufing the Tables,
N O T E I.
Of aftrommkal 'Time.
APPARENT time Is reckoned from the paflage of the Sun's Center over
the Meridian of any Place to its return to the fame; for in that interval of
time is one natural day compleated. But thefe days being unequal to each
other, the mean or equal motions of the Sun and Planets cannot well be adapted to-
them J therefore Aftronomers have fuppofed a mean day, to the noon of which they
fet down the mean Places. This, in the following Precepts, we fhall call the
Mean Noon. If then, the Place of the Sun or a Planet be fought, for any given.-
inftant of apparent time, the mean time anfwering thereto muil be found by the
Tables of the Equations of Time (C c 3) and the mean place of the Sun or Planet
muft be fought to that mean time.
NOTE II.
Of the Tables of Epochs.
The mean Places of the Sun and Planets in the Tables of Epochs are to the Mean^
Noon of the laflr day of the preceding Julian year. Thus the Sun's Mean Anomaly
in the Table of Epochs anfwering to the year 1722, is his Mean Anomaly to thaC
fiaitious Noon on December 31, 1 72 1 . The Tables are adapted to the Time of the^
Meridian of the Royal Obfervatory at Greenwich,
PRECEPTS FOR COMPUTING THE PLACE OF THE SUN.
To find the Suns true Longitude for any. given time.
r. From the Tables entitled, Epocha tnedicrum motuiim Soils & prima Stella Arietis^
(D d &c.) and Motus Anomalice medice Soils &c. (D d 3 &cc.) coUedl the Sun's Mearr-
Anomaly and the place of his Apogee for the given year, day, and time, of the day.
2, T^
. 2, To the SLin°s mean Anomaly for the given time add the Longitude of his Apo-
gee, the Sum will be the Sun's Mean Longitude.
3. In 'Tabula /Kquatioimm Solis (E e 3) find the Equation correfponding to the
Sun's Mean Anomaly, which according to its Title being added to, or fubtradled
from> the Sun's Mean Longitude, will give his true Longitude to the mean time of
the Tables.
4. If the given Time be apparent, feek the Equation correfponding to the Sun's
true Longitude in the firfl of the Tables entitled, Tabulce Aquationis 'T'emporis^
(C c 3) and that correfponding to his mean Anomaly in the other Table in the fame
page. Their fum, if both be to be added or fubtratSed ; or their diiference, if one
be to be added and the other fubtradled, will be the abfolute Equation of Time, by
which the given apparent time muft be encreafed or diminiflied to reduce it to
Mean. And the Sun's true Longitude found over again to this mean time will be
his true Longitude at the apparent time given. Or if the Sun's true Longitude firfl:
found be corrected by adding or fubtrading an Arc of his mean Motion anfwering to
the abfolute Equation of time, it will give his true Longitude for the appaitent time
very nearly.
'Tabula /Equationis Temporis compofita Is a Table of the Abfolute Equation of Time
anfwering to the Sun's true Longitude, but this Table is not perpetual on account
of the Motion of the Sun's Apogee.
EXAMPLE.
Required the true Longitude of the Sun on the apparent Noon of the
20th (t/' January, 1722.
In the Table Epoche^ viediorum viotuum &c. the Sun's Mean Anomaly to the Year.
1722 is 6'. 12", 37'. 56", and the place of his Apogee 23 8°. o'. 24", or 3'. S°. o'.
24". to thefe add the motion of his Mean Anomaly to yan. 20, o'. 19°. 42'. 43",
and that of his Apogee (whofe monthly motion is found at the bottom of each month)
3", their fums will be 7'. z'', 20'. 39" the Sun's Mean Anomaly, and 3'. 8°, o'.
27". the place of his Apogee on the Mean Noon of the 20th of January 1722.
And thefe added together give 10', 10°. 21'. 6" for the Sun's mean Longitude at
that time. The Equation of the Center in Tabula Mqiiationv.m Solis to y\ 2° of
Mean Anomaly is 1°. 2. 47", that to 7'. 3° is 1°. 4'. 31", their diiterence i'. 44";
and as while the Sun's M. Anomaly encreafes, the Equation encreaies hkewife, add
36", the proportional part of this difference, to the lefTer Equation 1°. 2'. 47", it
will give 1°. 3'. 23" for the Equation to the M. Anomaly y\ '^°- 20'. 39", which
added (as the Table direds) to the mean Longitude of the Sun gives x^ 1 1°. 24'.
29" the Sun's true Longitude to the mean Time of the Tables.
Seek now the Equation of Time, and that part of it which depends on the Sun's
Placed 11°. 24' will be found 9 m. 52 s. and the other part anfwering to his M.
Anomaly 7^ 2°. 20'. 4 m.. 13 s. which according to the Tables are both additive,
therefore their fum 14 m. 5 s. is the abfolute Equation of Time, which added to
the apparent time given will convert it into Mean. Therefore to obtain the Sun's
true Place to the given apparent time corredtly, the computation fliould be made
over again to 14 m. 5 s. after the Mean Noon of the Tables. But if an Arc of 35",
which is the Sun's Mean Motion in 14 m. 5 s. be added to the true Longitude
above found, it will become ™ 11°. 25'. 4". his true Longitude (very nearly) on
f:lie apparent Noon of y^;2Z/^; J 20, 1722.
'The Form of the Calculation,
O m. Anom. © Apogee.
A.D.
J722
6
12
37
56
3
8
0 24.
Jan.
20
0
19
42
43
3
7
2
20
39
3
8
0 27
3
8
0
27
o m. Long. 10 10 21 6 ra^ Sw
Eq. of the Cent, -f i 3 23 i ft part of the Eq. of Time + 9 52
The other part — — j- 4 13
^11 24 29
Corredion for Eq- Time +35 Abfolute Equ. of Time 1- H 5
5^ 1 1 25 40 true Longitude y^«. 20, 1722, nearly:
Having found the Sun's true Longitude, his Declination may be obtained from
the Table entitled, 'Tabula Declinatiommi punBorum Eclipticce (B b) and his R. Af-
cenfion from Tabula Afcenjionum reSiarum funBorum Ecliptic cs (B b 2 &c.)
PRECEPTS FOR THE TABLES OF THE MOON.
The Tear and Month being given ^ to find the mean times of theSyzygies.
1. From the T^ibX^s Epochs me di arum Con junBionum Liince cum Sole (* E e &c.) and
Re-volutiones Luna ad Solem in menfihus amii communis (** E e) colle(3: the days and-
parts of a day anfwering to the given Year and Month, and likewife the Sun's meaa
Anomaly, and the mean diftances of the Sun from the Moon's Apogee and Node.
In Leap Years fubtradl one from the number of days in the Months after February.
If the Oppofition be fought, add half a Synodical Month (vvhich,, with the mean,
Motions anfwering thereto, is at the bottom of the Table of Months) to the Time of
Conjundtion found as above, and the Mean Motions for the half Month to the
Mean Motions at the Conjun<fl:ion.
2. ¥ vom. Tabula JEquafionum annuarum &c. (L I 3 &c.) take out the Equations
of the Moon's Apogee and Node anfwering to the Sun's mean Anomaly, which be-
ing applied, with contrary Signs to thofe directed in the Tables, to the Sun's meaa
diftances from the Moon's Apogee and Node, will give his diftance from each once
equated. Add to theie, or fubtradt from them (according as the Table fhall diredl)
the Equation of the Sun (found by the third Precept of the Sun) and the former wilt
be the Annual Argument of the Moon ; the latter, the true diftance of the Sun from=
the Node once equated.
3. The mean diftance of the Sun from the Moon's Apogee once equated, fub-
traded from the Sun's mean Anomaly, is the Argument of the fourth Equation of the-
Moon in the Corgundlions. But in the Oppofitions, both this Argument and the
Annual ArgamcHt muft be cncreafed by fix Signs,
4. In Tabula Mquationum annuarum Lunce (L 1 3 &c.) find the Moon's Annual Equa-
tion anfwering to the Sun's mean Anomaly. In the Table entitled Mquatiofemefiris al-
tera (Mm) find thethird Equation of the Moon anfwering to the Sun's diftance from the-
Node. In the Table Mquatio Lunce quaria (ibid.) find the fourth Equation to its proper"
Argument. And laftly in Tabula Mquationum Lunce in Syzygiis (O o 3 j find the-
Equation anfwering to- the annual Argument. The fum of thefe Equations when-
ever the true Syzygy happens at the fame , time with the Mean (whida is-
but feldomj will be eqnal ta the Eqjjaticn of the Sun's Center. But when the
true Syzygy precedes the Mean7 the fum of thefe Equations will exceed that Equa-
tion : And when the Mean Syzygy precedes the true, the Sun's Equation will exceed
the Sum of thefe Equations of the Moon. The difference therefore between this
Sum and the Equation of the Sun, by means of the Table Motus medii Luna ^ Sole
('** E e 2^ will give the time betv/een the Mean Syzygy and the true, very nearly.
EXAMPLE I.
Required the mean time of New Moon in July in the year 1 684-.
Mean conjunc. O me. Anom. O from 2 apog.
D h m s » o ' " . o ' "
1684. 6 J3 22 38 6 18 57 15 g 19 6 8
Jf^ne, teapyear. 25 4 24 18 5 24 37 56 5 4 54 3
July I 17 46 56 0 13 35 II
Diff. 0 Eq. J Eq.+ 8 54 6 -2 24 4 47
2 24 Oil
4- 4 36
«5 July 2 2 41 2 9 19 30 24
Arg.4th.Eq.
2 24 4 47
— 26 47
2 23 38 0
Annual Arg.
G from S3
6 o 25 39 » ' *
64 I 24 ift Eq. 54-0 2 41
— . 3d —606
o 4 27 3 4th — o 2 16
— 211 jEq. in fyz. — 4 58 24
o 4 24 52 Sum ■^ 4 58 5
— 26 47 O Equation — o 26 47
o 3 58 5 DIff. 4 31 i3
O it. J3 Hours 8 =: 4 3 49
Therefore the mean time of Conjunflion in the Month
of July, A. D. 1684, was July 2, 2.h. 41. m.
27 29
Min. 54 =: 27 j6
Sec. 6
EXAMPLE 11.
Required the mean time of Full Moon in Auguft in the year 168 1.
Mean conjunc. © me. Anom. O a D Apog. © a g?
D h m s • o ' " a o ' " » o ' " 6 ' «
1681. 8 22 12 45 6 22 3 19 I 23 52 52 4 5 37 4 ift Eq. 5 4- o 10 9
July 25 «7 8 21 6 23 44 I ; 6 o 43 3 7 4 41 38 3d + o o la
^ Syn. Moij. 14 18 22 2 o 14 33 10 o 12 54 30 o 15 20 .7 4th —00 19
■ ■ — — Eq. inSyz. — 4 40 41
Auguft 18 9 43 8 2 o 20 44 8 7 30 25 II 25 38 49
Diff. © Eq. 5 Eq. + 5 36
? Aug.
-8 7 47 37
4- 17 12
'S '9
5 22 33 7
+6
7 47 37 > I 25 30 38
I 40 2 — I 40 2 Diff.
. • __— . Hours 5
II 22 33 7 8 6 7 35 II 23 50 36
Arg. 4th Eq. Annual Arg. ©aS Min. 36
4- 6
Sum — 4 30 41
© Equation— i 40 2
2 5° 39
2 32 z3
6^7 35
iqu. in
D h
Therefore the Gppofition happened Aug. 18 15 19 mean Time.
The Times thus found will differ fomewhat from the truth, and are to be cor-
refted by finding the true place of the Mgon by the Anomaliftic Tables (Y f &c.;
(according to the Precepts following.
'To find the true place of the Moon to any given jnean Time of Con-
junSiion or Oppoftion.
1. Find the Sun's true Longitude to the given time, and fet down his Mean Ano-
maly to Thirds.
2. In the Tables Epocha medioriim motuian himce exiftente Terra in Aphelio, (F f
&c.) find the Mean Longitudes of the Moon, her Apogee, and Node to the time
when the Earth was laft in its Aphelion.
3. From the Tables entided, Medii motus LiaicB Afogai & Nodorum ad gradus
Anomalia medice Solis (F £4 and following) and Medii motus Lunce Apogai & No-
dorum ad miniita Ano77ialice medic? Solis (H h 2) take out the mean Motions of the
Moon, her Apogee, and Node, anfwering to the Sun's Mean Anomaly : Add thefe
motions of the Moon and Apogee to the former, and fubdudl that of the Node; and
you will have the places of the Moon, Apogee and Node once equated.
4. The diftance of the Sun from the Moon's Node once equated, is the Argument
of the third Equation of the Moon entitled, /Equatio femejlris altera (M m). The
place of the Sun's Apogee, fubtraded from the place of the Moon's Apogee, is the
Argument of the fourth Equation, /Equatio ^larta Luuis (ibid.) in the Conjuncti-
ons ; but in the Oppofitions this quantity muft be encreafed by the addition of fix
Signs. The Annual Argument in the Conjundions, and the fame encreafed by fix
Signs in the Oppofitions, is the Argument of Tabula Mquationum Lunce in Syzygiis
(O03). And by the proper application of thefe Equations the true place of the
Moon in her Orbit will be obtained.
5. The place of the Node fubtraded from the true place of the Sun, in the Con-
jundlions ; but from its oppofite, in the Oppofitions, is called the Argument of Lati-
tude in the Syzygies ; to which the Latitude of the Moon, and the Redudlion of her
place in her Orbit to the Ecliptic,, are found in Tabula Latifudinaria Lunce in Syzy-
giis (O o 4).
6. If the given time be found to differ from that of the true Syzygy, it may be
corredled by the Table Motus horarii Lunce a Sole (* * E e 2).
EXAMPLE I.
Required the Moons true place at the time of New Moon before founds
A.D. 1684, July 2j 2/6. 41 m. mean timey and thence the correEh
time of ConjunEiion.
G Mean Anom. © Apogee
1684
Eiil July 2
Hours 2
Min. 41
6 12 29 28 46
6 I 21 2 3
4 5S 4«
I 41 I
3 7 21 59
30
1684
©M. An. 13"
i
3>'"
3d Equ.
4th
Eq. in Syz,
©
hnce D from G
3) mean long.
9 '9 '9 '9
5 23 50 "9
1 2 42 z,
I 33
7
3 25 53 20
— 07
— 2 16
— 4 58 28
i) Apogee
0 2°5 2; ^"■
I 23 46
6 27
3 17 4 22
© M. Anom.
© Apogee
0, 13 57 7 31
3 7 22 29
39 49
3 4
© M. long.
© Equation
3 21 19 36
— -n 29
0 26 55 26
9 19 32 57
Arg. 4thEqu,
2 23 56 41
Annual Arg,
3 16 31 29
© Long.
3 20 52 7
Dil
0 4 20 38
©as
3 20 52 29
3 20 52 7
0 22 47
Lat. i .
000 zz.
(. b j
The
The Moon tlierefore had paffed the Conjun'flion by an Arc of 22", and the true
Conjundtion preceded the given time by about 44 feconds of an hour ; (for in that
fpace of Time the Moon's mean motion from the Sun is 22",) Therefore the true
Conjundion was at 2 ''. 40"". 16'. of mean time.
The abfolute Equation of Time was then 4"". 58' additive, fubtrad it therefore
from the Mean Time here found, and we fhall have 2^. 35"^. 18' for the apparent
time of the New Moon.
EXAMPLE II.
\equiredy the Moons true place at the time of Full Moon before
founds A. D. 168 1, Aug. 18, \^h. igm. mean time, and thence
the correEi time of Oppofition.
1681.
Aug, 18.
Hours I 5.
IWin. 19.
O M. Anora.
Apogee
G M. Long.
Equation
O true Long.
]) Apogee
O M. Anom.
6 13 /5 29 56
7 16 41 '7 34
36 57 36
46 49
0 Apogee
3 7 »8 s'/
3 7 '9 35
z
3
0 34
7 '9
3«
35
5S
S
7 54
I 40
7
16
5
8
6 13
29 54
51
'3
Signs 2.
Min. 34.
31"- 55"
3d Equat.
4th Eq.
Eq. in Syz
D Apogee D S3
8 23 20 30 51516 o
6 29 48 3 5 16
3 51 1 50
4 z
J 6 19 38
Annual Arg. in g
B M. Long.
8 10 54 5;
2 22 18 8
7 34 33
7 7
11 10 54 43 8 zg 54 13 5 12 8 52
+0 O 10 II Z2 34 38 II 24 4 59
— o o ig Arg of 4thEq. Arg. of3dEq.
— 4 41 2 5 24 4 59
Arg. ofLat.in §
II 6 13 32 o / //
1; 6 13 i;i I» Lat. o 31 o N.
Diftance of 5 from 0 5 29 59 41
Here the Moon is 19" behind the Oppofition, which her mean motion from the
Sun will compleat in 38 feconds. Therefore the true Oppofition was at 15^. 19"".
38' of mean Time, nearly.
To find the mean time of the Syzygies to a given Tear and Mo72th before
the Chrifiiaji Era.
1. In the Table Epochce mediarum CojijimBiomim Luncs cum Sole (* E e &c.) find a
Year of the i8th Century, which added to the given number of Years before Chrift,
diminifhed by One, fhall make a number of whole Centuries.
2. Seek this number of Centuries in the Table Revolutiones Lunce ad Solem in An-
mrum centiiriis (**Ee3), and fubtrac!^ the time, and Motions anfwering to it,
from the Time and Motions anfwering to the Year of the 1 8th Century before found,
and they will give the mean Time of the firft mean Conjuncflion in the given Year
before Chrift, with the Motions anfwering thereto. Whence the time of Conjunc-
tion or Oppofition in the given Month may be found by the Precepts already deli-
vered.
If the Year of the i8th Century be a Leap Year, the given Year before Chrifl was
likewife a Leap Year,
EX-
EXAMPLE.
Required the 7nsan time of the Moons ConjunSlion with the Sun^ in
the month <?/'May, in the year before Chriji 585.
The years 584
Added to 1716
Make 2300 01-23 whole Centuries.
G me. Anom. O a 5 Apog. Q fr- £3
D h m s so/ // so/// s !o / /,
1716 1216 6 46 6 24 41 o 21233 I
■ 23oofubtr. II 5 57 54 II 19 46 54 I ; 58 33
I 10 8 52 7 4 54 5 I 6 34 28 7 o 30 38 ift Eq. ]) +005
May biffex. 26 15 40 15 4 25 31 37 4952 5321103d — 006
I
6
3 +
28
4
9
5
2
■;
i:;
39
30
+
9
—
51
2
25 57 37
25 26 59
S
0 30 38
3 21 10
0
3 5' 48
— 4
- 5-
4th _ _ o o 37
28 1 49 7 o o 25 43 S 'S 39 3° ° 3 5' 4^ ^^^' >" Syz- — i 8 35
+ 2 14 35 6 14 46 4 4-9 — 4 •
. Arg.4th. Eq. —51 — 5' Sum — i g 13
<5 May 28 4 3 42 ■ O Equation — o o 51
the mean time of 5 15 38 48 o 3 50 53 •
eonjundion fought. Ann. Arg. 0 a £3 i 8 22
Hours 2 = I o i;7
Min. 54. fee. 35. o 7 25
By a like method may the Moon's true place be found by the Anomaliftic Tables?
but while the other motions for the centuries of years are fubtradled, the Longitude
of the Node muft be added to the radical Longitude for the year of the i8th century.
As in the following example.
EXAMPLE.
Required the Moori s true place to the mean time found in the foregoing
'Example.
Q m. Anom. O Apog. D me. long. T) Apog. 1) Si
1716 6 12 II 41 41 3 7 54 20 7 8 59 37 87 35 37 6 28 17 2
230ofubtr. II 8 41 42 40 18 45 33 5 15 8 35 11 23 42 30 6 27 25 50 add..
7
3
29 59
,
4
26
51
16
20
9
5'
9
22
5
0
0
3'
'5
48
I
29
9
12
I
29
40
28
~~
I
2
29 8 47 1 23 51 2 8 13 53 7 I 25^42 52
May 28 Biff.
Hours 4
Min. 3. 42^ 950 Anom. 31' 6 54 26 3 30 i 40
is" 48'" 3 31
©M.Anom. o o 31 15 48 _— —
© Apog. I 29 9 12 2 o 48 59 8 13 56 39 I 25
———— . 3d Eq. — 006 5 15 42 47
O M. long. I 29 40 28 4th _ o o 37 Ann. Arg. D Apog. 8 13 56 39
O Eq. _ I 2 Eq. in Syz. — i 8 15 Q=Apog. i 29 9
O Long. 1 29 39 26 5 I 29 40 I 6 14 47 27
© 1 29 39 26 Arg. 4th Eq.
Dift. of D from © o o o 35
Therefore the Moon being paft the Conjundlionby an arc of 35"; fubtrad i". 9="
from the time before found, and there remains 4'', 2"". 33,' for the correft time of
Conjunftion fought, ' .
'To find the Mooii^s Place for any groe7t Time.
\. Find the Sun's true Longitude at the given Time. And if the given Time be
apparent, convert it into Mean.
2 . Fi otn the Tables, Epochs medioriim motuiim Lunce & Apogcei ejus (H h 4 &c ) ;
Epockce mot us Nodi afcendentis Lunce (lia); Mcdii motus Lunce Apogcei & No-
dorufn ejus ad dies menlium (li 3 &c.) and, Medii motus Luf7ce, Apogcei^ & Nodorum
ad her as & minuta horaria, talce out the mean Places of the Moon, her Apogee and
Node to the given mean Time. The mean motions of the Moon and her Apogee
for months, days, and parts of a day, muft be added to their radical mean Longitudes
found in the Table Epochce mediorum motuum &c. (H h 4); but the mean Motions,
of the Node muft be fubtrafbed therefrom.
;?. In Tabula /Equationum annuarum Lunce, Apogcei & Nodorum, (L 1 3 and the
fallowing) find the Equations of the Moon, her Apogee, and Node, anfwering to
the Sun's mean Anomaly, and add them to, or fubtradl them from, the refpcdive
mean Places, as the Table fhall diredt.
4. The Argument of the fecond Equation of the Moon, which is entitled Mquatio
femeftris prima (Mm) is the diftance of the Sun from the Moon's Apogee, and is
called the Annual Argument.
5. The Argument of the third Equation entitled /Equatio femeftris altera (ibid.)
is the diftance of the Sun from the Node.
6. For the Argument of the fourth Equation (ibid.) add the Place of the Sun's Apogee
to the Annual Argument, and fubtradl their fum from the Place of the Moon thrice
equated. But this being Sir Ifaac Newton's fixth Equation, its argument fhould be
correfted by the addition or fubtradion of the Equation of the Moon's Center *.
7. In the fecond column of Tabula JEquationis Apogcei & Excentricitatum Orbis
Lunce (M m 2 &c.) is the fecond Equation of the Moon's Apogee ; in the fourth,
the Excentricity of her Orbit; and in the feventh, the Logarithm for finding the
Equation of the Center, all anfwering to the Annual Argument,
8. The Moon's Apogee twice equated, fubtraded from the Moon's Place four
times equated, gives her Mean Anomaly; which, when lefs than fix Signs, is the
Argument of Tabula pro expediendo calculo /Eqiuitionis centri Luna; (N n &c.) ; but-
when greater, that Table muft be entered with its complement to 12 Signs. From
this Table take the Equation anfwering both to this Argument and to the Logarithm
foun-d in the 7th column of the preceding Table, and thereby encreafe or diminifti
(as the Table fhall dired) half the Mean Anomaly, or of half its Complement to 12
Signs; and the log. Tangent of the Angle fo obtained added to the I-ogarithm above-
mentioned, will give the log. Tangent of half the true Anomaly, or of half its comple-
ment to 12 Signs. And the difference between the true Anomaly and the Mean is
the Equation of the Center ; to be fubtraded when the M. Anomaly is lefs than fix
Signs, and to be added when greater.
* To correft the Argument of this Equation, fubtraft the Moon's Apogee once equated from the Place of the
Moon, and take the remainder for the Moon's mean Anomaly. In Tabula ^Equationum Jpog^i {3 Excentricitatis
Orbis Lunrs (M m 2 &c.) take the Logarithm in the 7th column anfwering to the Annual Argument, and add it to the
logarithmic Tangent of half the Moon's mean Anomaly. Their fum will be the tangent of an Angle, the double
of which fubtraflcd from the Moon's M. Anomaly will give the correiftion of this Argument; to be fubtrafted from
the Argument, if the Moon's Mean Anomaly be lefs than fix Signs, but added if greater. Thus in the following
example you will have
so/ o /
For the Moon's M. Anomaly 4 18 48 its half 69 24 tan. 10.4249
Log. pro aquatione Ccntri hunts — .— — . — » 9.9422
An Angle whofe double is 4 13 32 T0T3671'
Cflrreflion to befubtrafted _ 5 i(5' c,. The
9- The Sun's true Longitude fubtradted from the Place of the Moon, now five
tunes equated, is the Argument of Tai/ula Fariaho?2is Jive RefieSltonis (Nn4) whicli
exhibits the Variation at the mean diftance of the Earth from the Sun, To tl^e lo-
giftical Logarithm of the quantity found in this Table, add the Logarithm in the
Table Logarithmi pro correSiione variationis (ibid.) anfwering to the Sun's mean
Anomaly ; their fum will be the logiftical Logarithm of the true variation ; which
added to, or fubtrafted from the Moon's place five times equated, will give her true
Place in her Orbit.
10. In Tabula pro compiito Latitudmis Lunce (0 o) find the fecond Equation of
the Node, the log. Sine of the Inclination, and the greateft Reduftion; all anfwer-
ing to the Argument of the third Equation. The Longitude of the Node already once
equated, being correded by this Equation, as the Table {hall diredt, and fubtraded
from the true Place of the Moon in her Orbit, will give the Argument of Latitude.
To the log. Sine of the Inclination, add the log. Sine of the Argument of Latitude,
their fum, deduding Radius, will be the log. Sine ef the Moon's Latitude ; which,
when the Argument of Latitude is lefs than fix Signs, is North ; when greater. South.
To the logiftical Logarithm of the greateft Redudlion, add the arithmetical comple-
ment of the log. Sine of(the Argument of Latitude, their fum will be the logift. Lo- / ,/iH^i^
garithm of the true Redudlion ; which, fubtradted from the true Place of the Moon
in her Orbit in the firft and third Quadrant of the Argument of Latitude, or added
thereto in the fecond and fourth Quadrant of the fame, will give the Moon's Longi-
tude in the Ecliptic.
1 1. In Tabula Parallaxium Lunee horizontalium in Syzygiis (O o 2) find the Paral-
lax anfwering both to the Moon's true Anomaly, and the Excentricity of her Orbit
(found by Precept 7th) ; the logiftical Logarithm of this Parallax, added to the
Logarithm found in the Table Logarithmi pro Parallaxi extra Syzygias anfwering to
the Moon's diftance from the neareft Syzygy, will give the logiftical Logarithm of
the true horizontal Parallax of the Moon.
I 2. The proportion of the Moon's horizontal Parallax to her horizontal Diameter
is as 60 to 33. Add therefore 2596 (the logiftical Logarithm of 33') to the log.
Logarithmof the true horizontal Parallax, it will give the log. Logarithm of the ho-
rizontal Diameter of the Moon.
The horizontal Diameter of the Moon is to the Moon's Diameter in Lf)ngitude, as
the Cofine of the Moon's Latitude to the Radius. And the horizontal Diameter is
to the Diameter in R. Afcenfion, as the Cofine of her Declination to the Radius.
The quantity found in the Table Aug. Diam. Luna (O05) anfwering to the
Moon's Diftance from the Vertex (and likewife to her Diftance from her Apogee)
being added to the Moon's horizontal Diameter will give her apparent Diameter ;
which, encreafed in the refpeftive proportions above mentioned, will give her apparent
Diameters in Longitude and R. Afcenfion.
(c) EX-
E X A M P L E.
In the year 1725, "Dec. 5, the Weftern Limb of the Moon, was obferved by Dr«
Halley to pafs the Meridian of the Obfervatory at Greenivich at 9*^. 8". 5' mean time,
its obferved right afcenfion being 42°. 26'. 15", and the diftance of the lower Limb
from the Vertex 34°. 9'. 15".
Required the Moon s place at the fame time according to the Tables,
1725
Dec. 5.
Hour 9.
Min. 8. fee. 5.
O M. Anom.
so/ //
5 17 20 40
1) M. Long.
^ 19 36 54
4 26 47 52
4 56 28
4 26
G Apog.
384 22
D Apog.
7 24 56 18
I 7 46 2
2 30
2
O true Long,
i 24 59 2
17 57 7
I 12
Annual Equat.
' "1
2dEq. + 1 of
jd _ o 41 f 121
4tli - I 41 J
I 2 1 25 40
+ 2 38
9 2 44 52
— 4 28
o 25 12 42
+ 27
Eq. of Centre
■f- Variation
J Reduftion
1) Long Eclip.
* D Lat. North,
I 21 28 18
22
I 21 26 56
— 5 3 56
I 16 23 o
— 36 15
I 15 46 45
— 4 II
^ 15^ 42 34
I 39 S7
9 2 40 24 o 25 14 49
— 2 41 o -J- I 19 7
8 29 59 24 o 26 33 56
4 21 27 32 I 15 46 45|)
]) me. Anom. "— -
O 19 12 49
f me. Anom. Arg. Lat.
0 / //
70 43 46
— I 47
70 41 59 tan. 10.455683
Log. for Eq. centre 9.942214
68 II 48 tan. 10.397897
4' 16 23 36 its double
Arg. of the Equations.
so/ //
5 17 20 oQM.An,
Arg. of the ann. Equat.
8 24 59 2 ©Long.
9 2 40 24 I) Apog.
II 22 i8 3S
Annual Arg.
Excentr. 066429
8 24 59 OLong.
o 25 15 ]) £3
7 29 44
Arg.jdEqu.
3 8 4 O Apog.
II 22 18 An Arg.
3 o 22
I 21 28 B Long.
10 21 6
— 5 16 Correflion;
10 15 50
Arg.4thEqu.
I 16 23 B
8 24 59 0 Long.
4 2» 24 ji fr. o
Arg. of Variation.
5 356 Equation of Centre to be fubtraded.
-f- S Simple variat. — 34 18LL 2430
Correftion from the table 9 9758
5 Trufe variation — . 36 15 LL 2.188-
JGreateftReduft. -6 44 I^ L 9499 * Log. fm Incl.
Sin. doub. Arg. Lat. Ar. Co. 2065 Log. f. Arg. Lat.
8 94616
9.51732
True Reduft.
LL JI564 jLat. Nor. i 39 57 8.46348
N(j%V
21
2596
= o 59 43
2617
= 0 32 50
34 9 15
-\- 0 36
34 9 Si
2527 = o 33 32
JVbw to find the Moons true place from the obfervation.
The horizontal parallax of the Moon in the Syzygies,
to the true Anomaly 4'. 16°. 23', and to the excentricity
0664 is 60'. 3", whofe logiftical logarithm is __ 3
The logarithm for the parallax (extra Syzygias) to the
diftanceof |]) fr. © 4', 21°. 24' (or i'. 8°. 36' from
the Oppolition) is — — — — — ■ — 24 °
Their fum is the logift. log. of the true horizontal parallax
To which add the conftant logarithm — — —
And we have the logift. log. of the Moon's horiz. diam.
Theobferveddift. oftheMoon's lower limb from the vert, was
To which add the refraftion ■ — • — — — —
Gives itsapparent diftance from the vertex, clear of refradion
To the logift. log. of the horiz. parallax, found above —
Add the Arith. Compl. of the fine of the diftance of the
Moon's limb from the vertex — — — ■ — 2506
The fum will be the logift. log. of the parallax in altitude
of the Moon's lower limb * — — — —
This being fubtrafted from the correft apparent diftance of
the Moon's limb from the vertex, gives its true di-
ftance from the fame — — — ■ — — •
Subtradt alfo the horizontal femidiameter of the Moon — •
Remains the true diftance of the Moon's centre from the
vertex -— — — — — ■ — • —
The compl. of the latitude of the Obfervatory added thereto
Gives the true dift . of the Moon's centre from the North Pole
To the logift. log. of the Moon's horizontal diameter —
Add the log. cofine of the Moon's declination, or log. fine
of her diftance from the Pole — • — • — • —
Their fum will be the logift. log. of the Moon's horizon-
tal diameter in right Afcenfion — • — ■ — —
To the obferved right Afcenfion of the Moon's Weftern
limb — — — — — — —
Add the Moon's femidiameter in right Afcenfion — —
Their fum will be the true right Afcenfion of the Moon's
centre — — — — — — 42 43 32
The Moon's right Afcenfion 42°. 43' 32", and her diftance from the North Pole
71°. 51'. 24" being given, her longitude in the ecliptic will be found in b' i^°.
42'. 12", with 1°. 38'. 37" North latitude.
Here the Longitude of the Moon, found from the Obfervation, is 22" lefs than
the Tables give it.
* The Parallax in altitude being as the fine of the apparent diftance from the vertex ; whenever the apparent di-
ftance is not given, the true diftance may be increafed by guefs, and from thence the parallax in altitude found. Or,
if the true diftance from the vertex be taken for the apparent, and the parallax in altitude be found from it, that
true diftance increafed by this parallax may be taken for the apparent ; and the parallax thence found will be very
near the truth.
■ T,
33 36 19
16 25
2617
33 19 54
38 31 30
71 51 24
9778
2395
=^ 0 34 34
42 26 1 1;
0 17 17
To correSi the computed Places of the Moon.
The Errors of the Tables may in a great meafure be correded by help of the laft
column of the Tables entitled Ltcntre Meridian/^ &c. ( (f b and the following pages).
For after a Period of 223 Synodical Months, the Errors will recur nearly of the fame
magnitude.
To find the day in thefe Tables which correfponds to the time for which the cor-
redion is required, if that time be after Dec. 27, 1739, fubtracft this Period or a
multiple thereof, or a Period of 1 1 i Synodical Months, (which are to be found in the
Table entitled Periodi Luna-res (* * E e 4) from the given time ; but if the given
time precede Ja?i. 13, 1722, add the like Periods thereto,, fo that the Remain-
der or Sum may fill on a day between Jait. 13, 1722 and Dec. 27, 1739; and if
there was an obfervation at Greenivich on the day fo found, the lafl column of the
Tables Lunce Mcridiancs &c. will exhibit the Error of the Computation. But if the
day correfponding to the given Time be not found in the Tables Luna: Mertdiance
&c. no corredtion can be had but by comparing the Errors of the adjacent days, when
they happen to lie near enough for that purpofe to the day fought.
And obferve, that when the Period of 223 Synodical Months contains no more
than four Leap Years, it will confifl: of 18 years, 11 days, 7 hours, 43 min. and
20 fee. but whenever it contains five, it will be compleated in 18 years, 10 days,
7 hours, 43 minutes, and 20 feconds.
EXAMPLE.
To find from the Tables correEied^ the Time the Moons Eaflern Li7nb
pajfed the Meridian of GreGnwich on Dec. 28, 1745.
In this Example, the Period of 18 years will contain five Leap Years; there-
fore from the given time fubtradt 18 years 10 days, and we fhall have Dec. 18,
1727, for the day in the Tables Lun^e Mendiana &c. which correfponds to the
given time, on which day the Moon's Limb was obferved to pafs the Meridian at
13''. 45'^. 21' Mean Time. 18 years and 10 days want 7^ 43". 20' of a compleat
Period, in which time the Moon's mean Motion is 4°. 14'. 2'2" ; and the Meridian
pafTes over an Arc of the Equator equal to this Arc of Mean Motion in 16"". ^^^ of
mean Time: Subtradt therefore 16"". 55' from the time of the Obfervation, and
there will remain 13''. 28"". 26' for the time of the pafTage of the Moon's Eaflern
Limb over the Meridian of Greenwich, Dec. 28, 1745.
The Moon's computed Longitude to this time is ^t 6°. 43'. 8". her Latitude
3°. 49'. 24" N.
In the lafl column of the Table Lunce Meridiaiice &c. the Error on Dec. 1 8,
j-:27, is — 3'. i"; therefore 3" 1' being added to the computed Longitude gives ^ 6?.
46'. 9" for her correiSt Longitude at that time. o , „
Hence the R. Afcenfion of the Moon is found to be 130 12 38.
which encreafed by her true Diameter in R. Afcenfion 17 if
is the Right Afcenfion of the Eaflern Limb —
To the Sun's Mean Longitude at the given time
add an Arc proportional to the fame meantime 13^.28"". 26'
their fum is the R. Afcenfion of the Meridian —
which is pafl the Moon's Limb by an Arc of => — o i 36
Tills Arc the Meridian pafTes over in about 6~ feconds of time^
v/hich:
• 28S
2'^
z
130
29
56
, 202
5
30.
rjo
_11
_e
which fubtrafled from the given time would give the time of the Tranlit fought, if
the Moon by encreafing her R. Afcenfion after her Limb paffed the Meridian, had
not diminifhed its diftance from the fame. To allow for this, add 4" to the Arc of
diftance 0°. 1. 36", and it will become 0°. 1'. 40", which the Meridian paffes over
in 7' of time; therefore from the given Time 13''. 28"", 26% fubtraft 7'. the re-
mainder 13''. 28"". 19' will be the mean time the Eaflern Limb of the Moon paffed
the Meridian of Greenwich according to the Tables corredled, which was obferved
by the Rev. Dr. Bradley at 13''. 28'". 21'.
To find the Longitudes of Places on the Earth by Obfervations of
the Moon.
The Obfervations fittefl for this purpofe are, either the appulfes of the Moon to
fixt Stars ; or her diftance from a iixt Star lying near the Parallel of Latitude in which
the Moon then is ; or laftly, the diftance of the Moon from the Sun in her firft or
laft Quarter. From any of thefe Obfervations, the Latitude of the Place of Obferva-
tion being given, the diftance of the Meridian from that of Greenwich may be dif-
covered, by finding the time reckoned at Greenwich when the Obfervation was
made : for the difference between that time and the time in the unknown Meridian,
will give the diftance of the two Meridians from each other.
EXAMPLE.
In the year 1737, Jan. i, 6\ 4'". 30' apparent time (which converted
into mean is 6\ 13'". 40^ in the Latitude 65°. 50'. 50" N. an Oc-
culi.ation of the Star y T'auri was obferved. Required the diftance of
the Meridian under which the Obfervation was made^ from that of
Greenwich.
This day is not to be found in the Tables Lunce Meridiance &c. Subtrad: therefore
the Period of 1 1 1 Synodical Months, and it will give Ja?!. 1 1, 1728, for a day cor-
refponding to the time of the Obfervation. On this day the Error is found to be
— i'. 18".
The Longitude of the Star at the given time, deduced from the Britannic Cata-
logue was I 2°, 7'. o". Its Latitude 5°. 46'. 22" South.
Affume the Time at Greenwich by the help of any London Ephemeris ; one of
which puts down the Conjunftion of the Moon with this Star at about five in the
afternoon. The Moon's Longitude by the Tables to this Time is H 2°. 1'. 20"
which corredled by the Error above mentioned will be 31 2°. 2'. 38", with Lati-
tude 4". 50'. 18" S. o , „
The horizontal Parallax of the Moon at the given time is
To the mean Longitude of the Sun —
add the mean Time of the Obfervation in the unknown Me-
ridian 6^. 13*" 40' — — —— _- —
their Sum is the R. Afcenfion of the unknown Meridian —
The NonagefTimal degree of the Ecliptic in the Latitude
65°. 50'. 50" — — _ —
The Paralladlic Angle at the Moon — — —
(,
,
II
0
SS
41
292
^^
24
2L
il
0
25
36
24
^
24
56
24
5
33
2
■ The
■>5
12
54
o
15
28
)5
59
0
o
46
10
o
4
28
o
45 57
The Moon's true diftance from the vertex — • —
Her apparent Semidiameter — ■ — —
The moon's true diftance from the Vertex encreafed by an affumed Paral-
lax in Altitude • — — —
hence the true Parallax in Altitude — — - —
* The Parallax in Longitude, to be added to the true Longitude ■ —
The Parallax in Latitude, to be added to the true Latitude —
Hence the apparent Place of the Moon's Center was It 2''. 7'. 6" with Latitude
5". 36'. 15" S. which being 6" forwarder in Longitude than the Star, and the Oc-
cultation being made by the Eaftern Limb of the Moon, the Occultation muft have
preceded the affumed Time.
To correft the time, convert the Moon's apparent Semidiameter 15'. 28", and
iikewife the apparent difference of Latitude between the Moon and Star 10'. y'\ into
Seconds : the difference of the Squares of thefe quantities is 492735", whofe Square
Root 702" or 1 1'. 42" will be nearly equal to the apparent diftance of the Moon's-
Center from the Star in Longitude at the inftant of Occultation. To this add the
6" whereby the apparent Longitude of the Moon's Center vv^as found by the calcu-
lation to precede the Star ; their fum 1 1'. 48" will be nearly equal to the Arc of Lon-
gitude by which the Moon is too forward for the Occultation. By the Tables of
Mean Motions, the time the Moon is paffing over this Arc is found to be 21'. 30" j
which fubtradled from the time firft affumed, will give 4^. 38™. 30', and to this time
repeat the whole computation.
The Moon's corredl Longitude 1737, Jan. i, 4^ 38'". 30' is H 1°. 51'. 13",
her Latitude 4°. 49'. 59" S. ° / //
The R. Afcenfion of the unknown Meridian > — ■ —
The Nonageffimal Degree of the Ecliptic — — — — ^
The Paralkaic Angle — —
The Parallax in Longitude, additive >—
The Parallax in Latitude, additive — — —
The apparent diftance of the Star from the Moon's Center inLongitude
Their apparent diftance in Latitude — — — —
Convert the Moon's apparent Semidiameter 15'. 28", and Iikewife the apparent
difference of Latitude 10'. 26"intofeconds, as before; the Square Root of the difference
of the Squares of thefe quantities 1 1'. 25", will be the apparent diftance of the Star
* In applying the Parallaxes to the computed Places of the Moon, obferve
1 . When the Moon is to the Eaft of the Nonageffimal Degree of the Ecliptic, the Parallax in Longitude muli
fee added to the true Longitude, but when fhe is to the Weft thereof it muft be fubtrafted, to obtain the apparent
Longitude.
2. The like Rule holds for the Right Afcenfions, according as tlie Moon is to the Eaft or to the Weft of the
Ivleridian of the Place of Obfervation.
3. The Parallax in Latitude added to the true diftance of the Moon from that Pole of the Ecliptic which is
neareft to the Vertex of the Place of Obfervation, \Vill give her apparent diftance from that Pole ; whence it will
appear whether it is to be added to or fubtrafted from the true Latitude to obtain the apparent. But between the
Tropics where the Ecliptic becomes Vertical once in 24 hours, at fuch times it is always to be added to the true
Latitude.
4. In like manner the Parallax in Declination added to the true diftance of the Moon from that Pole of the
Equator which is neareft to the Vertex of the Place of Obfervation, will give her apparent diftance from that Pole,
whence it will appear whether it is to be added to or fubtrafted from the true Deelination. But in Places of the
earth v/.hich havs no Latitude,, the Parallax in: Declination is always additive..
from
25 35
31
24
55
57
5
24 32
0
4
21
0
45
57
0
II
26
0
10
26
from a circle of Latitude paffing over the Moon's Center ; which encreafed in the
proportion of the Cofine of the Latitude of the Star to the Radius, will give 1 1'.
28 ^" for the apparent diftance in Longitude of the Star from the Center of the
Moon, at the inrtant of Occultation. This exceeds the diftance found above by 2 ~\
and the time requires a farther diminution.
The Moon's apparent Longitude to the time firft affumed was If 2°. 7'. 6" ; that
to the correded time K i". ^s'. 34." their difference i j'. 32" is the vifible motion
of the Moon in Longitude in 2 1!". 30', the interval between the two times. And
As ii'. 32" : 2y" :: 21'". 30' : 5' — .
Thereforefubtra(fling5^from4'\ 38"". 30', there will remain 4''. 38". 2 5' for the mean
Time at Grd-^-^yJw/ci» when the Occultation happened under the unknown Meridian. And
this time fubtraded from the given mean time of the Obfervation leaves i*", 35".
15', which converted into an Arc is 23°. 48'. 45" the difference of Meridians fought.
But as the Occultations of Stars are not fo frequently to be obferved at Sea, the di-
ftance of the Moon from a fixt Star is an Obfervation likely to be of more ufe to Ma-
riners. For this purpofe a Star fhould be chofen as near as may be to the Parallel of
Latitude in which the Moon is at the time of Obfervation ; by which means the
computed diftance of the Moon from the Star will be little affedled by Errors in the
Moon's computed Latitude. And if the Moon's diftance from two fuch Stars, one
preceding her Place in Longitude and the other following it, be obferved, and a mean
taken between the times found from each Obfervation, the refult will on many ac-
counts be more to be depended on than from a fingle Obfervation.
The diftance of the two Meridians may commonly be known within three or four
degrees of the truth from the Ships Journals, and from thence the time at Greenwich
may be affumed for the firft computation. Having found the Longitude and Latitude
of the Moon to the time affumed, corredl the Longitude (where it can be done) as
above directed, and find the Moon's Right Afcenfion, and diftance from that Pole of
the Equator which is neareft to the Vertex of the Place. Then find her Azimuth,
and true diftance from the Vertex j to the latter add the difference between the Moon's
Parallax in altitude and the Refraftion, which will give her vifible diftance from the
Vertex. Find the Star's Azimuth to the fame time, and its diftance from the Vertex,
from which fubtraft the Refradion.
Then in afpherical Triangle are given, two fides, which are the vifible diftances of the
Moon and Star from the Vertex, and the Angle between them, viz. the aziniuthal
diftance of the Moon's Center from the Star, to find the third fide ; which
is the vifible diftance of the Moon's Center from the Star : And this fide diminifhed,
or encreafed by the Moon's apparent Semidiameter, according as the nearer Limb to
the Star or the more remote one was obferved, will be equal to the obferved diftance
of the Moon's Limb from the Star, in cafe the time at Greejiwich was rightly aflumed :
but if not, correft the time by guefs, and repeat the computation ; and by compar-
ing the Errors, the time at Greenwich may be obtained to a fufhcient cxadtnefs, and
thence the diftance between the two Meridians.
EXAMPLE.
In the year iji^, Dec. 10, 1 1^, 14"= of apparent time (which is 11^. I3'" mean
Time) at a Place to the Weji of Greenwich, in the Latitude of 40" A^. the Star y
Leonis was obferved 20°. 50' dift ant from the nearer Limb of the Moon. Required
the diftance of the unknown Meridianfrom that of Greenwich,
Affume 13^. 2 1'" for the mean time at Greenwich when the Obfervation was
taken. The
a
4 4 50
— '
4 59 47
—
I 0 18
•
127 42 28
—
65 52 43
Q2-JO 31 8)
= i68 15 0/
78 46 8
84 0 10
43
47
7
-^
42
16
_
—
0
11
i —
44 28 30
_ — .
0 16 47
— —
a
25 45 0
8 47 27
— —
151 II 32
— .
68 47 21
96 10 40
63
22
13
I
46
The Moon's computed Longitude at this time was — ^442
The Error of the Tables — -f 48
The Moon's corred: Longitude —
her Latitude, North -^ —
her horizontal Parallax — —
The Right Afcenfion of the Moon —
her diftance from the North Pole —
The Right Afcenfion of the unknown /
Meridian ln^is"-
The Moon's Azimuth — —
her diftance from the Vertex — -
the true Parallax in altitude — —
The Refradlion — —
The Moon's vifible diftance from the Vertex
Her apparent Semidiameter —
The Longitude of the Star y Leonis —
Its Latitude, North — —
' The Right Afcenfion of the Star
Its diftance from the North Pole —
Its Azimuth — —
The Stars true diftance from the Vertex
The Refradion — -
The Stars apparent diftance from the Vertex — 63 20 27
The azimuthal angle between the Star and the Moon's
Center — - - — 12 10 30
The vifible diftance of the Moon's Center from the Star 21 13 13
Subtrad the Moon's apparent Semidiameter - - - o 16 47
remains the vifible diftance of the Moon's Limb from
the Star - - - - - — 20 56 26
which exceeds the obferved diftance by 6'. 26". therefore the afTumed time require s
a corredion.
Add 15" to the afliimed time (for the Moon was moving toward the Star), and
the corred Longitude of the Moon to 13''. 36" of the fame day, will be found
^4°. 14'. 10", with North Latitude 4"^. ^()'. 40"; and having again found the
Vifible Diftances of the Moon and Star from the Vertex, with the Angle compre-
hended between them, we fhall thence find the diftance of the Moon's Limb from
the Star 20°. 47'. 17", which is deficient of the obferved diftance by 2'. 43". There-
fore the Moon's Limb approaches the Star by an Arc of 9'. 9" in 1 5 minutes of
time. And
As 9'. 9" : 6'. 26" : : 15™ : 10™, 33'.
Add therefore lo". 33', to 13''. 21", and it will give the time at Greenwich 13^
31"". 33', and the difference of the times 2 *". 18"". 33'. Hence the diftance between
the two Meridians is 34°. 38'. 15".
In this Example the difference between the diftances of the Moon and
Star from the Vertex is fo great, that the difference of Refradion is very
confiderable, and therefore the vifible diftance of the Moon from the Star could
not be accurately determined without finding both thofe diftances from the Vertex.
But where the Altitudes of the Moon and Star are not very unequal *^
* See the Pbilofophical Tranfaaion, W'^ 368, page lOg.
the
the Refradion may at once be allowed for in the obferved diftance by adding as
many feconds thereto, as that confifts of degrees ; and the work will be abbre-
viated, by computing the apparent diftance of the Moon from the Star, by means of
the Parallaxes in Longitude and Latitude.
EXAMPLE,
In the year 1725, Dec. 10, iz^. 50"" mean time, at a Place to the Weji of Green-
wich in the Latitude 0/4.8° North, the Star (2 Tauri was obferved 47°. $j. 1 2" di-
Jlantfrom the farther Limb of the Moon. Required the dijiance of the unkneum Me-
ridian from that of Gittrmich.
To corredl the obferved Arc for the Refraftions add 48" thereto, it will become
47°. 58'. o". Affume 56" for the diftance of the unknown Meridian from Green-
wich, which will give i6\ 34"^ for the time to be afTumed. „ , „
The Moon's Longitude computed to this Time is - S),
The Error of the Tables - - - - -
The Moon's correct Longitude - -
Her Latitude North - - - - -
The horizontal Parallax of the Moon
The Right Afcenfion of the unknown Meridian
The NonagefTimal Degree of the Ecliptic
The Moon's Parallax in Longitude, additive
Her Parallax in Latitude, fubtradtive
The apparent Longitude of the Moon
Her apparent Latitude, North - "
The Longitude of the Star /3 Tauri
Its Latitude, North _ _ — —
Here then are given in a Spherical Triangle, two Sides, one the apparent diftance of
the Moon from the North Pole of the Ecliptic 85°. 23'. 17", the other the diftance
of the Star from the fame 84°. 38'. 26". with the Angle between them 47°. 45'. 36",
which is the difference of the Longitudes of the Moon and Star, to find the third
fide _ - _ - - 47 34 25
To which add the apparent Semidiameter of the Moon - -- o 16 4S
it will give the apparent diftance of the farther Limb of the Moon from
the Star at the' time afliimed - - - - — 47 5i ^3
The obferved diftance corrected of Refradtion was _ - - 47 58 o-
Their difference - - - - - -- o 6 47
Add 15" to the affumed time for a corredtion, and it will give 16''. 49™.
To this time the corredl Longitude of the Moon is SI 6°. 14'. 7", her Latitude 4°. ^j'^. 58"
North. Find the Parallaxes in Longitude and Latitude over again, and the refolution of
the Spherical Triangle will give 47°. 43'. 5 1" for the apparent diftance of the Moon's
Center from the Star ; which encreafed by the apparent Semidiameter of the Mooa
becomes 48°. o'. 39", exceeding the obferved diftance of the Moon's Limb from the
Star by 2'. 39". And this Error added to the former ■ — • 6'. 47", will give 9'. 26" for
the Moon's apparent motion from the Star in 1 5"" of time. And
As 9'. 26" : 6'. 47" : : 15". : 10". 42'.
( e ) Tlrerefore
6
4 0
4-
0 48
0
a
6
4
48
4
58
6
1
0
12
I'
33
9
3
©
9
40
0
0
24 38
0
21
23
a
6
29
26
4
36
43
IT
18
43
50
5
21
34
Therefore add lo". 42' to 16^. 34.'" the Time fiift aflumed, it will give 16^'. 44'»,
42= for the Time at Greenwich when the Obfervation was taken under the unknown
Meridian. And the difference of the Times 3''. 54". 42' gives the diftance between
the two Meridians 58°, 40'. 30".
By a like method of Computation may the difference of Meridians be found from
Obfervations of the Moon's diftance from the Sun in her firft and laft QLnrter. And
the work will be fomewhat more fimple as the Sun has no Latitude. But in this cafe
the computed diftance muft be corrected by the Semidiameter of the Sun as well as
by that of the Moon. And the Sun's Diameter is to be found in Tabula Motuum
horariorum, Diametrorum &c. (O o 5) anfwering to his Mean Anomaly.
PRECEPTS FOR COMPUTING THE PLACES OF THE PLANETS.
To find the Place of a Superior or of an Inferior Planet for any
given Time.
1. Find the Sun's true Longitude for the given Time, and if the given Time be
apparent convert it into mean. From the Table, Logarithmi Dijiantiarum Solis a
Terra (E e 4) take out the Logarithm anfwering to the Sun's Mean Anomaly.
2 . From the Tables entitled Epocha medioriim motuum^ and thofe entitled Medii
motus, coUedl the Mean Places of the Planet, of its Aphelion and of its Node to the
given mean Time,
3. The Place of the Aphelion fubtraited from the Mean Place of the Planet will
give its Mean Anomaly ; to which find the Equation of the Center in the Table
entitled Tabida JEquationn7n. Add or fubtrafb this as the Table fhall dired:, to or
from the mean Place of the Planet, it will give the Planets true heliocentric Place in
its Orbit.
4. From the Planets heliocentric Place in its Orbit, fubtraft the Longitude of the
Node, the Remainder is called the Argument of Latitude ; with which enter the
Table entided Tabula Latitudmaria, and take out the Lnciination of that point of
the Planets Orbit, the Redudlion, and the Logarithm of Curtation, anfwering thereto.
The Redudlion added to the heliocentric Place of the Planet in its Orbit, or fub-
tradled therefrom, as the Table fhall dired:, will give the Planets true Longitude in
the Ecliptic,
5. From the Table Logarithmi dijiantiarum a Sole, take the Logarithm
anfwering to the Planets Mean Anomaly, from which fubtfadt the Logarithm of
Curtation, the remainder will be the Logarithm of the Curtate diflance of the Planet
from the Sun.
6. The heliocentric Longitude of a fuperior Planet fubtraded from the Longitude
of the Sun, or the Sun's Longitude fubtrafted from the heliocentric Longitude of
an Inferior Planet, is called the Angle of Commutation.
7. To the difference of the Logarithms of the diftance of the Sun from the Earth,
and of the Curtate Diftance of the Planet from the Sun, add the Logarithmic Tan-
gent of 45°, their Sum will be the Logarithmic Tangent of an Angle exceeding 45".
To the Logarithmic Tangent of the Excefs of this Angle above 45°, add the Loga-
rithmic Tangent of half the Angle of Commutation, their fum (fubtradling Radius) will
be the Log. Tangent of an Angle, which, added to half the Angle of Commutation
of a Superior Planet, or fubtrafted from half the Angle of Commutation of an Inferior
Planet,
planet, will give the Elongation of that Planet. But when half the Angle of Com-
mutation exceeds three Signs, its Complement to fix Signs muft be encreafed or di-
minifhed by the Angle above found to give the Elongation.
8. If the Angle of Commutation be lefs than fix Signs, the Elongation of a Su-
perior Planet fubtrafted from the Sun's Longitude, or the Elongation of an Inferior
Planet added thereto, will give the Planet's true Geocentric Longitude. But if the
Angle of Commutation exceed fix Signs, the contrary muft be obferved in either
cafe.
9. The Tangent of the Inclination, is to the Tangent of the Planets geocentric
Latitude, as the Sine of the Angle of Commutation, to the Sine of the Angle of
Elongation.
EXAMPLE I.
Required^ the Geocentric Place of the Planet Venus, June 13, i*".
lyv"") mean time in the year 1690.
1690
June 13
Hour I
Min. 17
Sec. 30
0 M. Anom.
Apog.
G Long.
% Elong.
S Geo. Long.
% Lat. Nor.
©Me. Anom.
so///
6 12 55 43
5 11 38 19
2 28
42
[1 24 37 13
3 7 28 30
3 2 5 43
+ 10 41
3 2 16 24
+ 17 38 40
3 «9 55 4
I 19 21
O Apog.
3 7 28
» 3
o 27
3 7 28 30
Proilh.
Reduftion
S Helioc.
O Subtr.
Commut.
Half
? Me. long.
7 22 26 18
8 22 45 20
4 o
4
'5
16
48
+
7
29
4
•5
24
'7
2
31
4
'5
21
46
3
2
lb
24
1 13 5 22
zi^zz 41
? Aphel.
6 22
$Node
2 13 52 .
Inclin. N.
2 s's 4"2
10 6 22 30
6 8 54 18
? Me. Anom.
J 13 52 57
2 I 31 20
Arg. lat.
Log. dift. Earth fr. Sun
Log. dift. ? fr. Sun
Tang.
54
47
51
-45
00
00
Tang.
9
47
51
Tang.
32
41
Tang.
3
54
5-,oo7256
4.855745
10,151511
9.237255
9.596391
8,833646
17 38 40 ? Elongation.
Commut.43 5 22 Ar. Co. 0,16549
Elong. 17 38 40 Sin. 9,48160
Inclinat. 2 58 42 tang. 8,71624
X
S Lat. I 19 2iN.tang. 8.36333
E X-
EXAMPLE IL
Required^ the Geocentric Place of the Planet ]viY^ttv, Dec. 3, 6^ 30^
mean time, in the year 1690.
1693
Dec. 3
Hour 6
Min. 30
0 M. Anom.
'6 12 55 43
1. 2 8 51
. H 47
I 14
0 Apog.
3 7 28 3
0 56
3 7 28 59
% Profth.
Reduftion
It H. long. fub.
From long. ©
Commut.
Half
It5Comp.to6fig.
% M. long.
i\ 13 7 '6
23 0 58
"i
n Aphel. % Node
6 9 2'i 48 3 7 25 5*0
I 6 46
6 9 22 54 3 7 26 36
6 I 46 41 9 3 53 56
% M. Anom. Arg. Latit.
Log. dift. If. fr. 0
Log. dift. e fr. 0
Tang. 78° 45' 31"
- 45
33 45 31 tang.
54 30 32 tang.
43 8 54 tang.
97 39 26 ■y. Elongati
)mmut. 70 58 56 Ar. Co.
ongat. 97 39 26 fm.
clin. I 18 58 tang.
Inclin. Souti»
"i I's s's
0 M. Anom,
© Apog.
ftoft.
5 I? 20 35
+3 7 28 59
8 22 49 34
_ 30 2
0 II 9 35
+ 10 57
0 II 20 32
+ 04
0 II 20 36
8 22 19 32
8 10 58 56
4 5 29 28
54 30 32
Cc
El
In
5,694521
4,992841
0 Long.
% Elong.
% Geo. Long.
Lat. South
8 22 19 32
+3 7 39 26
, 11 29 58 58
I 22 47
10,701680
9,825034
10,146874
9,97 '9°8
on
0,02437
Latit. % I 22 47 S. tang.
8,38.73
The Column entitled Mquatio Secularis, in the Table Medii motus Jovis ab Mqui-
7ioBio in annorum centurih (B b bj, contains Equations to be added to the mean he-
liocentric Longitude of "Jupiter for every hundredth year preceding or following any
Radical Year in the Table entitled Epocha mediorum motuumjows. And the Column
with the fame Title in the Table Medii motiis Saturni in annorum centuriis ('D d d 4),
contains Equations to be fubtradted from the mean heliocentric Longitude of Saturn
for every hundredth year preceding or following any Radical Year in the Table inti-
tied Epochce mediorum motuum Saturni.
PRE-
PRAEFATIO,
RO D EU NT ta?^dem celeherrhm Halleii Solis &'
Planetariim Tabidce ; typographo qmde??i Ajmo 1 7 1 7 ab
ipfo traditce-} Annbque i']i(^ typis expreffce. Deerant
tamen tabulce qiicedam vulgares, &' P7'cecepta calculi^ cum
AuSior An7io 57 20 Flainjiedii i?t Obfervatorio regio SucceJJor coji-
Jiitutus^ earmn editio7tem diJluUt^ ut numerorum Limariuin
errores ex propriis obfervatmtibus detegeret^ ^ eorii7n Abacu7n
Ji777id CU771 tabulis 771 lucem daret. Hoc ut ab AJiro7tomis Jieret,
diu fdiie cupidijjt777e exoptaverat^ ut iTide (£quatio7tu7it TL,unariuf7i
notiormn mag7iitudi7tes accuratiiis i7777otefcerent^ &' latentes adhuc
eequatioTtes detigere7itur. Ip/e ta?7de7n ai27mt7z age7is fexagejftjnum
quartum^ fu7n7}io corporis &' 07777721 vigore fretus, quo ad id
(Btatis ufus eratf opus hoc arduu7n aggrejjus eft^ &'. p7'<£ter 07]i72ium
expeBatio77e7n abjohit. Obfervatoriu7n injirtwie7ttis aJlrono777icis
0777771710 deftitutu7n acceperat : ilia quippe^ quibus Flamjledius tifus
eft^ privati juris era7it^ ^ hceredes fequeba77tur. A77770 ta7nen
1 7 2 I telefcopiu777 ad tranfttus Jideru77t obfeTva7idos 77aBus, afce7i-
fi07ies Lunce reEias per a77770s quatuor co77tinuos dilige77tijpjne ob-
fervavitj ^ cu7?7 tabularutn /uarufTi cojjiputo co77tulit : do7iec zVz-
ge?is ilk ^adra72s anno 1725 ftmiptibus publicis Obfervatorii
fnuro affixus^ lo77gitudi77es Lunce ex obfervatio77ibus fupputandi
compotejn reddidit ; a die igitur Dec, c^io illius A777ii^ ad die7n
Dec. 2qu7n an77i 1739 lo?igitudines Lu77ce obfervatce ciwzco^tnput)
tabula7''U77t collates. i77 obfe7'vatio77U77i abaco i7tve77iuntur.
Si AuEior Jiofter has fuas tabulas ipfe edidijjet, procul dubio de
obfe7'vatio7iibus^ quibus ad eas C07ide77das ufus eft^ aliquid dixijfet ;
fortajfe etiain 7iu7neroru7n corre&io7ies quafda7n indicajfet. Hcec
quidem a nobis nequaqua77t funt expeBanda. Pauca tamen moni-
tu7n LeSiore7n volu77ius^ quo ?77agis cequiwt de illis ferat judiciiwi.
Fla77ijledii obfervatio72ibus prtzcipue ufus eft 77oftery quce qua77i-
vis magrid dilige7itid faSice fueru77t^ ^ fu7777nd fide traditce,
pauciores ta7nen fmt., qua7n qucB ad 7iu7neros Solar es flabiliendos
fufficiant. Ha77C obfervationu7n i7iQpiajn fcepe cu?n amicis Halleius,
au7n
dum viveret, quefius eft. Hmc neque fpeciem orhttcs terreflris^
neque pojitiomm ejus., fatis accurate dejinire valuit ; multo minus
(Bquattones Apogae-i folis.^ ^ alias quafdam^ quibus orbita terreftris
minime immunis eft^ detegere potuit. Hce nempe non 7iift longd mul-
taru7n obfervationum ferie deprehendi &' dejiniri pojftmt : Adde^
quod turn temporis ignorabantur (zquationes Aberrationis luminis
jixartim^ PrctceJJlonis (zquinoEiiorutn^ ^ h2clinatio?iis axis terrcs^
quas omnesj niirdin obfervando induftrid pariter ac fagacitaie, pri-
mus detexit fimimus ilk aftro7w?7tus Rev. Jacobus Bradkius^ S.T.P.
R. S. S. ifi Acade77nd Oxonie7'ift Aflrono7nice Profejfor Savilia7ius^
&' AuEiori noftro iTt Obfervatorio regio Succejfor digfnjfwms. Hce
cequationes^ licet parvce Jint^ errores iarlle7^ fe7tjibiles in bo77as ob-
fervationes i7tducere vale?7ty &* Fla77iflediu77i 772ire torferant. Cu7n
vera ajlronomia d Sole tot a pe72deaty ex erroribus folaribus errores
in 07nniu7n Planetaru7n nu7neris producantur^ necejfe ejl.
De AuBoris 7toJlri labore &' follertid i7^ tabulis lunaribus co7i-
dendisy judicabunt ii qui obfervatio77U77t 7nultitudine7n pcene infi-
77ita7n ad tot cequationu77t magnitudines dejinie77das neceffaria7n 7io-
verint. Et quanto cu77i candore iit hifce fuis laboribus cu7n pub-
lico co7n7nunicandis egerit, exi7'ide patet ; quod tabulas hafce taii-
qua77t exaSias propo7tere 7iequaqua7n cogitavit; quinimb £equatio7ies
quafda7n penitus omit t ere voluit^ quonia7n ad ipfas fatis accurate
deter 7ninandas, nondu7n fuppeterent ohfervationes idonecs; turn etia7n
erroru7ny quos in tabular ufn computo per o8i&deci7n aiinorum ferie77t
obfervatione feduld deprehenderaty abacum confecit, &' una cum
tabulis edere decrevit.
Catalogo Britannico ad Luna; afcenjiones reBas ex fixaru7n ob-
fervatione indagandas ufus eji Nofter^ in quo fixaru7n quaru7ida7n
loci minus accurate determinati inve7iiuntur \ &', ft obfervationu7h
ejus editio?U7nfperare licerety fixas illas indicare^ ut inde Lunce loci
ab illis derivati corrigerentur^ operce pretium foret. Utina77t
AuEior^ du7n viveret, fllas edidijfet; 7nagni enim i7iterefty ut Obfer--
vationes afirono7nic(s publici juris fant^ quippe qucs nunqua777y ut
iabulce^ traElu te77tporis exolefcant^ fod f diligeitter faSia: fuerint ^
hind fide t7'aditi^, 77iajore7n utilitate7n ex a7itiqtcitate ducimt : op^
tandum propter ea foret y ut fumptibus publici s fubi77de edere77tur ob-
fervatiG77es ab Aftronomo regio faEice\ quo eni7n tnagis fedulus obfer-
vator fuerity eo 7nagis publici inter eft ut ejus edantur obfervationesy
eoque
ebqiie minus privati hominis facultatibus impenfce ad illas edendas
necejfarice co7ive7iiunt.
Numerorum Mercurialium correBiones edidit AuEior in Reg.
Societatis ASiis philofjph. N". 386, ubi Epocham motiis medii hujus
planet ce ad a?inum Jtdiajuim 1723 ^7^eunte7n t 19°. 9'. 31" fla~
tiiit\ motiimque medimnin an7iisjulia7iis centu7n 2\ 14°. 2', 13",
&' Nodi afcendeTitis a pri7nd Jielld Arietis dijla7ztiam 0°. 15'. 41"
inve7tit.
Satellitu7n jovialium tabidas A7^7^o 1 7 1 8 Halleio tradidit ede7i~
das Rev. y. Br ad lei us. Cm7i cceIo ta7ne7i ho die mi77if?te confe77tire
deprehe7iduntur ; quod AuBori non penitus i7iexpeBatum accidijfe
' patet ex ipjius i7i eafdejn fiotis.
Sy7iopfis ajlronomice cojneticce.^ eodem te^npore quo tabulce^ typis ex-
prejfa eji. Obfer-vationu7n abacimi variis te7nporibus typographo
tradidit AuBor, du7n obfer-vatio7iibus incumber et.
^uid in hifce edendis d nobis prcejlitufn Jit^ paucis nunc dicen-
Deera77t tabulce jnediarum conj unBio77U7n L,tmce ctmi Sole, Re^-
fraBionum, ^ Longitudi7imn ^ Latitudi72U7n Urbiuj7t celebrio—
rum ; quas ofnnes fuis. locis inferuimus.
Tabulas mediarum conjunBionmn, &' Periodorujn Iu77ariu7n,
fu77imd cu7n hwmanitate nobifcum co7nmimicavit Rev. y. Bradleius,
d celeberrimo du7n viveret AJfrono77io Rev. Dno. Poundio artijiciojif-
Jjfne cofiJlruBas. Periodorufn hmarium tabula^ eclipJiU7n revolutio-
nibus i7idicandis eJi utilijjif7ia ; ideoque abacum eclipjiu7n quce periodo
223 lunationum abA7mo 1701 ad an7ui77z 171 8 co77tigere, quern
cum cequationibus ad revolutio77U7n te7npora corrigenda, auBor'
huic ufui defti77averat, &^ Periodu7n Pli77ianam^ nuncupaverat,
07nijimus\ utpote qui 7ninus accurate revolutionum te7npora re-
prcefentaret, &^ pojl paucas periodos exaBas i77utilis fiat. Re-
fraBionum tabula ea efi, qudfetnper ufus efi AuBor. Urbium &'
Locoru77t ecUpfibus a7itiquis, vel rece7itioru7n obfervationibus prce-
cipue infigniu7n Longitudi7tes & Latitudines 772 tabulam co7tjeci7nus : ■
uti77a77i 7?tagis fidas obfervatio77es ad ea7"U7n plerafque Jlabiliendas ■
haberemus.. Ekvatio7ie7n Poli Obfervatorii Grenovice77fis, qua'
Fla777Jledius &■ Halleius ufifunt, reti7tui77tus, qua77tvis 7ni7tutis ali-
quot fecundis vera 777i7iorefn ea777 creda7nus. -
* Vid. A£i. Philofofh. n. 194: />. 535.,
In prcBceptis computi tradendis^ methodmn^ qua Halkius ipfe
tabulis utebanir^ fcrupulofe fecuti fumusj ne err ores diver fi ab iliisy
qui in Abaco inve?mmtur, proveniant. Si mmpe cequatio L,U7ice
quarta pofi (^quationem centri applicetur^ vel rudis ilia argumt?iti
ejus correSiio^ quam in 77targi?te pagince i^) 4 indicavimus^ ?2egli~
gatur^ errorum differe?ttia ad minuti ujiius primi femijfem quaji-
doqu& ajjurgere poufl ; quod errorum Abacum tabulariLm correc-
tioui minus utilejn redderet. Hie tamen mo72endus ejl Le&or^ quod
ex Halleii chartis comperimus, ipfum^ in Limbi Lun<s afcenjioni-
bus reciis ex cofnputo inveitiatdis^ &^ in centri ejus longitudinibus
ex objervatioiu indaga?idis^ femidiametro LtmcB apparente^ vercz
ejus fefnidiametri loco conjlanter ufum fuiffe ; ifideque faEium ejl,
ut ab obfervatio7mm initio ufque ad ji?iem fej^e a?i7ii 1725, a 770vi-
lunio ad pleniiunium du7n prcEced&ns Luna. Ii77ibus obfervabatur^
afce7tJio77.es ejus reEias ex computo i77ventas minor es qumn opo7'tuit,
iit Abacu77i retulerity ^ a pk77ilunio ad novilu77iu7n du77i linibus
fequens obfe7'vabaHir^ 777ajores : ab A77no verb 1725, lofigitudines
ce7itri L,U77cE ex li77ibi pra^cedentis obfervatio77ibus AeduBas^ veris
ejus lo77gitudi7tibus 777ajores exhibuerit •, & ex li77ibi /eque77tis obfer-
vatio77ibus, 77nnores. Error quidem tio77 77iag72us ejl^ utpote qua-
dra77te7nini7tuti unius p7'i7ni raro fupera77s\ & i77 co77jputis vul-
garibus negligi potefi^ ideoque 772e?7tione7n ejus 7tulla77i in prceceptis
fecimus. ^uicimque ve7^o motus Limce medios corrigere, vel
cEquatio72es refor^nare fufcipiat, e7"rores in Abaco i77ventos^ excejjii
fe777idiametri Lu77ce appare7itis fecundiim Afce7tJio7ie777 reSia777 vel fe-
cundwn Lo77gitudi77e772y fupra fe7nidia77ietru7n ejus horizo7itale7n'fe-
cimdtmi eafde7n 77ie77furaSy co7'rigere debebit.
Brevitati qua77tu7n licuit J}udui7mis \ methodu7n tamen ad
Lo77gitudi77es terrefires ex obfe7^vatio77ibus Luncs invejligandas^ in
navigai7tiu7n gratioMi pluribus exe7nplis illujlravi77ius.
De ufu Tabularum,
MONITUM I.
De Tempore ajlronomko»
T EM PUS illud quod apparens appellatur, acentri Soils per meridianum
circulum tranfitu, ad ipfius in eundem meridianum reditum numera-
tur. In hoc nempe temporis fpatio naturalis dies abfolvitur. Cum
vero hi dies fint inter fe inaequales, motus medii Solis & Planetarum
fatis apte ad eos accommodari nequeunt. Ad tabulas itaque mediorum
motuum condendas, finxerunt aftronomi diem medium feu aequalem, ad cujus
meridiem medios motus in tabulis accommodant. Hunc in fequentibus Meridiem
a^quatum vocabimus. Si igitur qusratur locus Solis vel Planetae ad tempus
quodvis apparens datum, convertendum eft illud in tempus medium, ope Ta-
bularum squationis temporis (C c 3), & ad hoc tempus, medii motus in Tabulis
quasrendi funt.
MONITUM II.
De Tabulis Epocharu?n.
Soils 5c Planetarum motus medii in Epocharum tabulis, ad meridiem asqua-
tum ultimi diei Decembris anni Juliani proxime prasteriti exhibentur. Scilicet
Anomalia media Solis in tabula Epocharum ad annum 1722, eft ejus Anomalia
media ad meridiem ilium fidum diei 31 Decembris Anni 1721. Temporis
autem computus ad meridiem Obfervatorii Regii Grenovicenfis accommodatus
eft.
PR^CEPTA CALCULI SOLIS.
. Ad datum tempus Longitudinem Solis veram ijwenire.
I. E Tabulis Epocharum (Dd & feq.) & Mediorum motuu7n EoUs (D d 3 &
feqq.) colligantur Anomalia media 6c Longitude Apogasi Solis ad annum, diem,
& partem diei datam,
( a ) 2. AnomrJias
2. Anomalise Soils mediae addatur longltudo Apogsei ejus, earum fumma erit
Solis longitudo media.
3. In tab. JEquationum Soils (£03) inveniatur asquatio anomalia; Solis me-
diffi refpondens. Haec a Longitudine ejus media fubdudla, vel eidem addita, fe-
cundum tabulae indicem, dabit veram Solis Longitudinem ad tempus medium
tabularum.
4. Si tempus- datum fuerit apparens, in tabula Mquaflonls Temporls priori
(CC3) qufEratur asquatio qute ad longitudinem Solis veram refpondet ; in al-
tera, vero Mquatlonis temporh Tabula inveniatur ea quse ad mediam ejus Ano-
maliam ; harum lumma fi amb^ fmt addendiE vel fubtrahendae ; vel differentia fl
altera addenda altera fubtrahenda fuerit, erit asquatio temporis abfoluta, qua
augeatur vel minuatur tempus apparens datum, & ad tempus fic corredum
denuo qu^ratur locus Solis. Vel fi additione aut fubdudione quantitatis motus
medii sequationi temporis abfolutse proportionalis, corrigatur longitudo Solis
vera prius inventa, habebitur quam proxime longitudo ejus vera ad tempus ap-
parens datum. Tabula, qus (C c 4) habetur, /Equationem temporis abfolu-
Tam ad veram Solis Longitudinem exhiber, & ex duabus prioribus componitur.-
Sed propter motura Apog.Ei Solis non eft perpetua.
EXEMPLUM.
^uceritur Longitudo Soils vera ad Meridiem 20 ' diei 'Jajiuarii
apparent eif I A7ino 1722.
In E/'OcZ^iJra'/w tabula ad annum 1722 habentur Solis Anomalia media 6'. r2°;
37'. 56". & Longitudo Apogjsi ejus 3'. 8°. o'. 24", hisaddantur motus Anomal.'s
inediffiprodiebus Jan. 20, o'. 19°. 42'. 43", &Apog?ei (cujus motus promenfecom-
pleto habetur in ima tabula) 3", fit media Solis Anomalia ad meridiem squatum
2oJanuarii7^2''. 20'. 39", &longitudoApogsipjus 3'. 8°. o'. 27". quarum fumma
io% 10°. 21'. 6'' eft Solis Longitudo media ad idem tempus. Profthaphasrelis Solis
ad 7=. 2° Anomalias medis eft 1°. 2^ 47", iHa vero ad 7^ 3°, eft 1°. 4'. 3 i",
earum differentia i'. 44". & cum crefcente Solis Anomalia media, crefcat etiam
asquatio, aequationi harum minor! 1°. 2'. 47" addatur hujus differentiae pars pro-
portionalis 36" & fiet 1°. 3'. 23" ProfthaphjErefis Solis ad x'\nomaliam mediam 7'.
2°. 20'. 39" refpondens, qure fecundum tabul^E indicem Longitudini Solis medias
addita dabit ^r 11°. 24'. 29" Longiiudinem ejiis veram ad tabularum tempus
medium. Quasratur nunc aquatio temporis,. cujus pars quae a Longitudine
folis pendet invenietur in tabula priori ubi 9 m. 52 s. Longitudini folis '^ 11°. 24^
refpondent ; pars altera ad Anomaliam ejus mediam 7'. 2°. 20' eft 4m. 13 s.
& cum ex indicibus tabularum ambas fint addendje earum fumma 14 m. 5 s. efl
tcquatio temporis abfoluta, qua tempus apparens audtum in medium convertetur.
Ut habeatur igitur Solis vera Longitudo ad meridiem diei propofiti'apparentem,.
cornputus denuo inftituendus eft ad J4m. 5s. poft meridiem tabularum squa-
tum. Vet fi Longitudini fupra inventa? addatur arciis 35" quern Sol fpatio tem-
poris 14m. 5s. medio fuo motu percurrit, fiet '^ 11°. 25'. 4". Longitudo ejus
vera meiidie appartnte 20 Januarii Anno 1722,. q_uam proxime.
/lagramma
DIagramma Calculi.
0 Anom. med.
0 / //
,
Longit.
, ApogasL
Anno
Jan.
1722
20
6
0
12
19
37
42
56
43
3
8
0 24
3
7 2 20 39 3 8 o 27
3 8 o 27
o Long. med. 10 10 21 6 m. s.'
Profthaphasrefis -\- i 323 iEquatio temp, prior ~jr 9 52
/Equado temp, altera i" 4 13
O Long, vera ^ 11 24 29 -^
Pro. asq. temp. +35 ^q. temp, abfoluta 'h 14 5
- II 25 4 Long. © verajan. 20, i722,qiiamproxime,
Inventa Solis Longitudine vera, ejus Declinatio in tabula Declinationum (B b) ;
habenda eft, ^ Aktndo xt&.^ in X2i}o\i\^ Afcenfiomun rediarum (Bb 2 & feqq.)
PR^CEPTA CALCULI LUNiE,
Tempus medium Syzygiarum ad An?tum &' Meitfem datu7n invenire.
1. E Tabulia Epochariun mediarum ConjunSiionum Solis & Limce, (* E e &
feq.) &c e Tahulis Revolufionum Lu?2i^ ad Solem in fne?ifibus anni communis (*"
E e 4) colligantar dies & partes diei ad annum & menfem datum, una cum
Anomalia Solis media & m.ediis Solis diflantiis ab Apogseo Lunse & Nodo. Iii'^
annis Biffextilibus, poll Februarium numerus dierum in Tabula menfium uno
die minuendus eft. Si qujeratur Oppolido, dimidius menfis Synodicus tempori
addendus eft ; & motus huic tempori refpondentes, motibus euam funt addendi.
2. Ope Anomaliffi Sclis medis capiantur e tabulis Mquationmn anniiariinr
(LI 3 & feq.) iEqoationes Apogsi Lunae & Nodi, quae ft lecundum indices ta-
bularum addendas funt, fubducantur a mediis Solis ab Apogseo Luns &; Nodo
diflantiis, & vice veria ; & habebitur ejus diftantia ab utroque lemel ^quato,
ProfthaphEerefis Solis his addita vel fubdudta lecundum indicem tabulae dabit Ar-
gumentum Lunse annuum & diftantiam veram Solis a Nodo femel squato.
3. Diflantia Solis media ab apoga^o LunE femel eequato, fubduda a media'
Solis anomalia, eft in Conjunftionibusargumentum quarts aequationisLuns: verum
in Oppofitionibus huic Argumento, itemque Argumento annuo, addenda funt
fex figna.
4. In T-ikinXdi JEqiiGiio7ium anmtariim Liincs (LI 3 & feq.) inveniatur asqua;;-
tio ejus annua medis Soils Anomalise refpondens. In tabula Mquationis Jemejiris
alterius (Mm) ope Solis a Nodo diflantise, inveniatur squatio Lun^e tertia» -In
tabula Mquatio7iis Lunce quartcs [j^nii.) inveniatur sauatio quarta ad argumen-
tum huic aequaaoni propnam. In. Tabula demum JEquationiim LuncV' in.
Syzygiis (O o 3) inveniatur asquatio ad argumentum annuum refpondens.
Harum omnium asquutionum fumma, ubi tempus rnedis fyzygias cum tempore
verae congruit, (quod raro fit) Solis Profthaph^irefi squalls erit. Ubi autem^
-yera -
vera fyzygia mediam pr«cedit, sequattonum Lunarium fumma Profthaphjerefin
folarem fuperabit : & ubi media Tyzygia pracedit veram, Solis Profthaphasrefis
fummam fuperabit asquationum Lunarium. DifFerentia igitur inter banc fum-
mam & Profthaphsrefin folarem, ope Tabulae Motui horarii Luna a Sole (* *
E e 2) dabit tempus inter fyzygiam mediam & veram, quam proxime.^
' EXEMPLUMI.
^ucerifur tempus medium Novilunii menfe yulio Anno 1684.
CoDJ. media. G Anom. med. G ab Apog. 5 G a J3
D h m S so/// S 0 / // s o / //
6
6
o zj 39
4 « 24
o
4 27 3
— 211
o
4 24 52
— 26 47
/ //
1684. 6 13 22 38 6 18 57 i; 9 19 e _, ^^
Jun. Biff. 25 4 24 18 5 24 37 56 5 4 54 3 6 4 1 24 i jEq. J + o 2 41
— . I __— - . 3a —006
Julii , I 17 46 56 o 13 35 II 2 24 o II o 4 27 3 4ta — o 2 16
Pro. diff. ^q. + 8 54 6 —2 24 4 47 + 4 36 —211 .^q. in fyz. — 4 58 24
(S Julii 2 2 41 2 9 19 30 24 2 24 4 47 o 4 24 52 Summa — 4 58 5
Arg. 4. .^q. — 26 47 — 26 47 Profth. G — o 26 47
2 23 38 o o 3 58 5 DifF. 4 3' '8
Arg. Annuum. G a S3 Hors 8 = 4 3 49
Tempus igitur Conjunftionis medium menfe Julio 27 29
Anno 1684 fuit Die 2. hor. 2. min. 41. Min. 54 = 27 26
Sec. 6 = 03
EXEMPLUM II.
^(eritur tempus 7nediu7n Pknilunii menfe Augujlo Anno 1681.
Conj. media. Anom. med. G ab Apog. P G a £3
Dh m s s o / // s o / // 0 s / // o / //
1681. 8 22 12 45 6 22 3 19 I 23 52 52 4 5 37 4 I -(Eq. Luna; -}- o 'o 9
Julii 25 17 8 21 6 23 44 i; 6 o 43 3 74 41 38 3a -j- o o 10
J Menf. fyn. 14 18 22 2 o 14 33 10 o 12 54 30 o 15 20 7 4ta — 00 19
- ■ J£,<\. in fyz. — 4 40 41
Augufti 18 9 43 8 2 o 20 44 8 7 30 25 II 25 38 49
Pro. difF. sq. -|- 5 3^ — ^ 7 '^7 1>7 4" '7 '2 — 8 11 Summa
18
9
4^
8
2
0
20
44
+
5
3&
"
-8
7
47
37
.8
'5
19
5
22
33
7
+
6
Profth. G
8 7 47 37 II 25 30 38
— I 40 2 — I 40 2 Dift.
- 4 30
- I 40
4'
2
2 JO
: 2 32
39
Horae 5 =r
II 22 33 7 8 6 7 35 II 23 ;o 36
Arg. 4t»^q. Arg. Ann. G a £3 Mm. 36 =: 18 i&
+ 6
2673:;
Arg. ^qq. in fyz. g
D h m
Tempus igitur Oppofitionis medium fuit Aug. 18 15 ig
Tempera hoc modo inventa paululum a veris fyzygiarum temporibus aberrabunt,
6c corrigenda funt inveniendo locum Luna3 verum ope Tabidarmn Anomalijlicarum
(Ft & feqq.) per prsecepta fequentia.
Locum
Locum htmce verum ad datum ConjunSiionts vel Oppofawtis tempus
medium invenire.
1. Inveniatur Longitudo Soils vera ad datum tempus, & capiatur Anomalia
ejus media ad minuta tertia.
2. In tabulis Epocharum mediorum motuum Luna exijiente Terra in Aphelio
(F f & feq.) inveniantur mediae Longitudines Lunas, Apogsei ejus, & Nodi, ad
tempus Aphelii proxime prscedens tempus datum.
3. E Tabulis Mediorim motuum ad gradus Anomalia So/is media (Ff4 &
feqq.) capiantur motus medii Lun^e, Apogsei ejus, & Nodi, ad mediam Solis
anomaliam refpondentes. Addantur hi Luna? & Apogsi motus, Longitudini-
bus prioribus, & fubducatur ille Nodi a Longitudine priori, 6c habebimus
Luns, Apogasi ejus, & Nodi Longitudines ad tempus datum, femel sequatas.
4. Diftantia Solis a Nodo Lunas femel asquato, eft argumentum terti^e asqua-
tionis Luna;, <^\i7sjemeftris altera appellatur (M m). Longitudo Apogsi Solis a
Longitudine Apogaei Lunas fubduda, argumentum eft quartas aequationis in Con-
jundionibus (ibid) ; in Oppofnionibus autem hoc Argumentum fex Signis au-
gendum eft. Argumentum annuum in Conjundtionibus, & idem fex Signis
audum in Oppolitionibus eft argumentum JEquationimi Luna in Syzygiis
(O03). Hifce jfEquationibus obtinebitur locus Lunse verus in Orbita pro-
pria.
5. Longitudo Nodi a loco Solis fupra invento fubduda, Argumentum Lati-
tudinis in Syzygiis appellatur, cujus ope Latitudo Lunae, & Redudio loci ejus
in orbita propria ad Eclipticam, iu 'tabula Latitudinarid Luna in Syzygiis (O o 4)
inveniuntur.
6. Si tempus datum ab illo vera2 Syzygiag aberraverit, fatis tuto corrigetur ope
Tabuls Motus horarii Luna a Sole (* * E e 2).
EXEMPLUMI.
■i^cerittir Locus LuncB ad tempus Novilunii fupra itwentum Menf.
Jul. die 2. h, 2. min. 41. Anno 1684.
G An. media. Q Apogseum.
i o I II III , 0 I II
B. 1684 6 12 29 28 46 37 21 59
J"I- 2 6 I 21 2 3 30 Dab^q. D Apog. i> jj
Hor. 2 4 55 41 so/// 80/// toll!
Min. 41 I 41 I ,684 9 19 19 19 o 25 25 13 3 17 14 22
' Anom. O130 5 23 50 19 I 23 46 39 49
G An. med. o 13 57 7 31 57/ 12 42 2 6 27 34
Apog. 3 7 22 29 7" I 33
3,/// 7
0
'3
57
7 31
3
7
22
29
3
21
»9
36
—
27
29
© Long. med. ^ ^ _
Proflaph. — 27 29 3 25 53 20 o 26 55 26 3 16 31 29
^q. 3a _ o 7 9 19 32 57 05 20 3S
O Long, 3 20 52 7 4ta — 2 16 Arg. 4t32^q. O a SJ
^q. in Syz. — 4 58 28 2 23 56 41 oil
Arg. Ann, o 22 47
Lat. D.
Differentia o o 0 22
( b ) Lunje
3
25
53
20
0
2
7
16
yz.
—
4
58
28
D
3
20
52
29
0
3
20
52
7
Luna igitar conjunftlonis pundlum praeterlerat arcu 22 minutorum fecund(>
rum, & conjundio vera praceffit tempus datum 44 minutis fecundis horariis,
circiter j in hoc nempe temporis fpatio Luna motu fuo medio a Sole arcum ta-
lem percurrit. Conjundio igitur vera iiebat hor. 2. min. 42. fee. 26. temporis
medii.
i^quatio temporis abfoluta turn temporis fuit 4". 58'. fubducendaj addatur
ilia tempori medio hie invento, & habebitur 2^. 45"". 24'. Novilunii veri tempus
apparens.
EXEMPLUMIL
^Uc^ritur locus L,unce vents ad tempus Phmlunii fupra inventum
Aug. 18. I5^ 19". 1 681.
Aug.
Hor.
Min.
G An. med.
Apog.
G Long. med.
Prollaph.
G Long.
G Anom med. G Apog.
s o ////// s o / //
6 13 15 29 56 3 7 18 57
7 16 41 17 34 38
36 57 36 '
46 49 3 7 «9 35
I Long. med.
B hi
2 o 34 31 55
3 7 '9 35
7 54 7
I 40 16
5 6 13 51
8 10 54 5; 8 23 20 30
Sig. 2. 2 22 18 8 6 29 48
Min. 34. 7 34 33 3 S'
Sec. 31. tert. 55 77 4
./Eq. 3ta
.^q. 4ta
.(Eq. in Syz.
II 10 54 43 8 29 54 13
-j- o 10
— o 19
— 4 41 2
II 61332
5 6 13 5'
Diftantia D
3 5 '6
I 50
5 12 8 52
5 24 4 40
Arg. Lat in
Syz. S.
0312
Lat. J
fuo medio a Sole, tempore 38 minutorum fecundorum percurrit.
Oppofitio vera 15''. 19". 38^ temporis medii, quam proxime.
', quem motu
Fiebat itaque
'Tempus medium Syzygiarum ad Annum &' Menfem aiite ^ram
Chrijiianam datum invenire.
1. Centurise decims odlavje nunc currentis, iftum Annum felige, qui, fi
annis ante Chriftum datis, uno dempto, addatur, integrum efficiet centuriarum
numerum.
2. Quaeratur hie numerus in tabula pro Centurih annorum (**Ee) &
tempora & motus huic refpondentes, a temporibus & motibus, anno ifti Centurise
decimas odavse in Epocharum tabula (* Ee & feqq.) refpondentibus fubducan-
tur ; & obtinebitur tempus medium prims conjundionis medias in anno ante
Chriftum dato, cum motibus eidem refpondentibus. Quibus datis invenietur
tempus Conjundionis vel Oppofitionis in dato menfe, per prscepta fupra tradita.
Si Annus in Epocharum tabula inventus BilTextilis fuerit. Annus etiam datus
BifTextilis erat,
E X-
E X E M P L U M.
^csriiur tempus medium ConjunSiionis LuncQ cum Sole in fficnfe
Maioy anno ante Chrijlum 585.
Annis 584
Addantur 1716
Fiunt 2300 Integer Centuriarum numerus,'
O Anom. med. O ab Apog. 3) O a S3 x
D h m s s o / // s ° / // s ° / //
1716. 12 16 6 46 6 24 41 o 2 12 33 I 2 25 57 37
2300 fubd. II 5 57 54 II 19 46 54 « 5 58 33 7 25 26 59 ^ ^ ^^
7 4 54 6 I 6 34 28 7 o 30 38 I ^q. Lunje + o ° 5
4 25 31 37 4 9 5 2 5 3 21 10 3a —006
4ta —00 37
I
10
8
52
26
«5
40
■5
28
,
49
7
+
2
14
35
_
I
9
13
—
0
0
5»
I
8
22
I
0
57
o o 25 43 5 15 39 30 o 3 51 48 ^q. inSyzygiis — i 8 35
6 14 46 4 +9 — 4
— 51 — 51 Summa
,5 Maij 28 4 3 42 Arg. 4^ ^q. ■ • O Proftaph.
5 15 38 48 o 3 50 53
Arg.Annuum. Q a S3
Hors 2
Min. 14. fee. 35. o 7 25
Simili modo invenietur locus Lunae verus ex tabulis anomaliflicis j dum
vero motus casteri pro centuriis annorum fubducantur, Longitudo Nodi pro An-
norum centuriis, Epochali Longitudini centurias decimae oftavEe addenda eft. Ut
in Exemplo fequenti.
EXEMPLUM.
^ceritur locus Lunce. verus ad tempus medium fuperiori exemplo
inventum,
O Anom. med. O Apog. D Long. med. D Apog. D SJ
s o I Jl III s o I II s o / // s o / // % ° I II
1716. 6 12 II 41 41 3 7 54 20 7 8 59 37 87 35 37 6 28 17 2
2300 fub. II 8 41 42 40 1 8 45 33 5 15 8 35 II 23 42 30 6 27 25 50 addend.
7 3 29 59 I I 29 8 47 I 23 51
Mali 28 B 4 26 51 16 20 25
Hor. 4 9 51 22
Min. 3. 425. 9 5 ©Anom 31'
15" 48'"
o o 31 15 48
G Apog. 1 29 912
6
54
26
3
31
2 0
48
59
— 0
0
— 0
0
37
- I
8
■5
I 29 40
I
I 29
39
26
8 13 53 7
1 25 42 52
3 30
2
1 40
8 13 56 39
5 15 42 47
Arg. Annuum
I 25 41 II
D Ap. 8 13 ?6 39
0 Ap. I 29 g-iz
Mq. 3a
1 29 40 28 4ta
Profth. — I 2 ^q. in Syz.
O 1 29 39 26 B I 29 40 I 6 14 47 27
Q 1 29 39 26 Arg. 4ts ^q,
DifF. o o o 35
Luna igitur prseterierat Conjundionem arcu 35'^'
Ad datum quodvis tempus Locum LuncB invenire.
1. Inveniatur ad tempus datum Longitudo Solis vera.
2. E Tabulis Epocbarum Mediorum motuum Luna, Apogcei ejus & Nodi
Amis JuUanis ineuntibus (H h 4 & feq) & e tabulis Mediorum motuum ad
Aies menfiufJi, &c. ( I i 3 & feqq), colligantur ad tempus medium datum, Lon-
gitudines, Lunas, Apogasi ejus, & Nodi, mediae. Et notandum eft, quod medii mo-
tus Nodi pro menfibu?, diebus, & diei partibus, quibus tempus datum anni
ineuntis Epocham fuperat, fubducendi funt ab ejus Longitudine in Epo-
cbarum tabula inventa.
3. In tabulis Mquatioiium anyiuarum (L 1 3 £c feq.) inveniantur asquationes
Lunse, Apogsi ejus, & Nodi, medi^ Solis Anomalis relpondentes, & mediis
eorum Longiiudinibus addantur, vel ab iis fubducantur, fecundum tabularum in-
-dices.
4. Argumentum fecundas iEquationis LuDJE (Mm), (quae & Prima fe?nejiris
vocatur) eft diftantia Solis ab ApogsoLunte, & Argumentumannuum appellatur.
5. Argumentum tertis iEquationis (ibid.) (quae Semejiris altera nuncupatur)
eft Solis a Nodo Lunae diftantia.
6. Pro Argumento qitartce Mquationis (ibid) Longitudo Apogasi Solis ad
Argumentum Annuum addenda, & base fumma a Lunae Longitudine jam ter
aquatafubducenda. Cum vero hacc aequatio fit fecundum Neutonum fexta, augeri
vel minui debet ejus argumentum, aequatione Centri Luns. *
7. In tabula JEquationum Apogcei & Excentricitatum Or bis Lunce (Mm 2
& feqq) habentur ad Argumentum annuum refpondentes, vEquatio fecunda
Apogcei Lunae, Orbitas ejus excentricitas, & Logarithmus pro iEquatione Centri
Luns.
8. Longitudo Apog^i Lunae iterum aequata, fubdu6ta a Lunae Longitudine
jam quartum lequata, dat ejus Anomaliam mediam ; qu£e quando fex Signis minor
"eft, Argumentum erit 'Tabidce pro expcdiendo calculo Centri Lunce (Nn & feqq.)
fi vero fex Signa fuperaverit, Complemento ejus ad Signa duodecem utendum eft.
Ex hac tabula, ad hoc Argumentum, tum etiam ad Logarithmum pro squatione
Centri Lunae refpondens, capiatur eequatio ; qua augeatur vel minuatur (fecun-
dum indicem tabulae) dimidius angulus mediae Anomalis (vel ejus complementi ad
Signa duodecem) ; hujus anguii lie corr e6li tangens logarithmica, logarithmo pro in-
veniendaaequatione Centri Lunas addita, dabit tangentem logarithmicam dimidii An-
guii Anomaliam vers. Et differentia inter mediam & veram Anomaliam eft
-«quatio Centri; fubducenda quando Lunae Anomalia media fex Signa non fupe-
rat, fi fuperet addenda.
* Ut corrigatur Argumentum quartae Mquationis, fubducatur Longitudo Apogaei femel aequata
a Lunae Longitudine, & capiatur refiduum pro Anomalia Lunae media. In tabula Mquationis
Jpogal et Exentrkitatis Luna (M m 2 & feqq) quseratur Logarithmus pro csquatione Centri Lunce,
qui Tangenti logarithmicae Anguii dimidii Anomaliae Lunae medice addatur. Summa erit tangens
Anguii, cujus duplum ab angulo Anomalise mediae fubdu6lum, dabit Argument! hujus corre<fi;ionem.
Argumento fubducenda U Anomalia Lunae media fex Signis minor fuerit, eidem vero addenda fi
iotidem Signa fuperaverit. In Exemplo fequente
s o / o /
Pro Lunae Anomalia media habebitur 4 18 48 ejus dim. 69 24 10.4249
Log. pro aequatione Centri Lunse s ° ' q.9422
Angulus cujus duplum eft 4 13 32 66 46 10.3671
Corre(Sio detrahenda =— 5 16
9. A
g. A tiOngitudine Lunas jam quinqules asquata Tubducatur Soils Longltudo
vera, & in tabula. Fanatiofiis Jve ReJ/e^ionis Limce (N n 4) inveniatur huic
argumento refpondens, Variatio Luns ad mediam Terra; a Sole diftantiam ; hu-
jus Logarithmo logift. addatur Logarithmus in t^iOvXi Logarithmonim pro cor-
reBione Variationis (ibid) Anomalis mediaj Solis repfondens j eorum fumma.
erit Logarithmus logift. Variationis veias : qua auda vel diminuta (fecundum ta-
bulae indicem) Longitude Lun^e quintum ajquata, fict Longitude ejus vera in
Orbita propria.
10. In T'abuld pro computo Latitudims Liince (O o) inveniantur, i?^quatio
Nodi fecunda, Sinus maximas inclinationis logarithmicus & Redudio
maxima j omnes ad diftantiam Solis a Node medio refpondentes. Longitude
Nodi jam femel ^quata, hac demum iEquatione auda vel diminuta, fecundum
indicem tabulae, fubduda a vera Luns Longitudine in Orbita propria Argumen-
tum Latitudinis appellatur.
Sinui logarithmico maxims inclinationis addatur finus logarithmicus Ar-
gumenti Latitudinis; fumma, deinpto radioj eft Latitudinis Lun^ linus loga--
rithmicus J quae cum argumentum Latitudinis minus fex Signis fuerit, Borealis
eft: ; Auftralis autem, cum totidem Signa fuperaverit.
Logarithmo logiftico maximse Redudionis, addatur Sinus dupli argument!
Latitudinis complementum arithmeticum, eorum fumma eft Logarithmus lo-
gifticus Redudionis verae, quse a Longitudine Lunje in orbita propria, in primo
& tertio Argumenti Latitudinis quadrante fubduda, vel eidera in fecundo &
quarto addita, dabit Luns Longitudinem Eclipticam,
1 1. In tabula Paraliaxium Lunce hori-zontalium in Syzygiis (O o 2) invenia-
tur Parallaxis tam Anomaliae Lunse vers, quam Orbits fuse excentricitati ref-
pondens, hujus Logarithmus logifticus, Logarithmo e 'Tabula pro Parallaxi
extra Syzygias ad dijlantiafu Lunce a Syzygid propiore (ibid.) addatur j eorunx
fumma eft Logarithmus logifticus Paralldxis Lunas horizontalis vers.
12. Parallaxis Luns horizontalis, eft ad ejus Diametrum, in ratione 60 ad
33. Addendo igitur Logarithmum logift. minutorum 33 (2596) Logarithmo
logiftico Parallaxis Luns horizontalis fupra invents, fit Logarithmus logifticus
diametri Luns horizontalis.
Luns Diameter horizontalis auda in ratione cofinus Latitudinis Luns ad Ra-
dium menfuram dabit Diametri ejus vers fecundum Longitudinem. Si vero in
ratione cofinus Declinationis ad Radium augeatur, ejuldem menfuram dabit fe-
cundum Afcenfionem redam.
Diameter Luns horizontalis ope tabuls Aug. Diam. Luna (O o 5) pro di-
ftantia Lunsa vertice auda, (prout Luna magis vel minus ab Apogsofuodiftaverit)
fiet Diameter ejus apparens ; qus auda in ratione cofinus Latitudinis ad Radium
menfuram dabit Diametri apparentis fecundum Longiiudinem ; vel ft in ratione
cofinus Declinationis ad Radium augeatur, ejufdem menfuram fecundum Af-
cenfionem redam dabit.
,c); E X.
E X E M P L U M.
Anno 1725 Dec. 510, prjecedens Lunce Limbus, obfervante Hallelo Meridla-
num Obfervatorii Grenovicenfis tranfiit g^. S"", 5' temporls medii, cum Afcen-
fione reda 42°, 26'. 15", & Limbi inferioris a vertice diftantia 34°. 9'. 15.
^ucEritur locus Luncz ad idem tempus fecundum 'Tabulas*
O Anom. med. G Apogaum. © Long, vera-
soli/ so///
5 17 20 40 3 8 4 22
t Long. med. 5 Apogsum.
1725
Dec. 5.
Hor, 9
Min. 8. fee. 5.
JEqq. annuK
JEq. 2 a 4- I o-
3 a — o 41 j
4 a — I 41]
Mq. Centri
•f- Variatio
i Redudio
D Long. Eclipt
* 5 Lat. Bor.
8 19 36 54 7 24 56 18
4 26 47 52 1 7 46 2
4 56 28
4 26
1 21
25 40
2 38
I 21
28 18
I 22
1 21
— 5
26 56
3 5^
1 16
23 0
36 15
I 15
46 45
4 II
2
30
2
9
2
44
4
fs
9
2
2
40
41
24
0
O 25 12 42
-1- 2 7
o 25 14 49
-h I 19 7
8 29 59 24 o 26 33 56
4 21 27 32 I 15 46 45 D
J Anom. med.
i Anom med.
o / //
70 43 46
— I 47
O 19 12 49
Arg-Lat.
« 15 42 34 70 41 59 tan 10.455683
' 39 57 Log. pro iEq. centri 9.942214
68 II 48 tan 10.397897
4' 1 6 23 36 ejus duplum
5 3 56 ^q. Centri fubd.
JEqq. Arguments.
5 17 20. o An. med.
Arg. JEqq. Annuarum.
8 24 59 2 O
9 2 40 24 B Apog
Arg. At,
Excentr. 066429
8 24 59 O
7 29 44
Arg. 3« ^q.
384 O Apog.
II 22 18 Arg. Ann.
3 o 22
I 21 28 5
10 21 6
1; 16 eorreftio
10 15 50
Arg. 4te Mq.
I 16 23 2)
_8_24_59 O
4 21 24 J a O
Arg. Variationis.
f 3) Variatio fimplex — 34 18 LL 2430 % Reduftio mas. — 6 44 L L 9499 * Inclin. fin Log. 894616
Corredio e tabula 9-975^ S. dupl. Arg. Lat. CA 2065 Arg. Lat. f. Log. 9.51732
5 Variatio vera
36 15 L L 2ii
4 II LL 1 1564 ]) Lat. bor. j 39 57 8.46348
hveniatur
Inveniatur nunc ex ohfervatrnte locm Lunca verm\
Parallaxis Lunas horizontalis in Syzyglis ad Ano-
maliam Luns veram 4=. j6°. 23' & ad excentricitatein
0664 eft 60'. 3" cujus Logarithmus logifticus eft — — 3
Ad Diftantiam 5 a O 4^ 21°. 24' (vel l^ 8°. 36' ab
Oppofitione) logarithmus pro Parallax! extra Syzygias eft 24 " ' '^
Horum fumma eft Log. log. Parallaxis horizontalis verge zi = o 59 43
Cui addendo Logarithmum conftantem — ^59^
habemus Log. log. Diametri Lunae horizontalis 2617 = o 32 50
Luns limbi inferioris diftantia a vertice obfervata erat 34 9 15
addatur Refradlio jtLJLJ^
& habcbiturdiftantiaejus averticeaRefradlionepurgata 34 9 51
logarithmo log. Parallaxis horizontalis verae, fupra invento 2 1
addatur compl. arith. finus diftantise limbi Lunse a ver-
tice correda; — —
fumma erit log. log. Parallaxis altitudinis Limbi Lunae
hcBC a diftantia limbi Lunae a vertice correaa, fubdudla,
dabit veram ejus a vertice diftantiam —
fubducatur etiam femidiameter Lunae horizontalis — ■
refiduum erit vera centri Lunae a vertice diftantia
huic addatur Latitudinis Obfervatorii complementum
& habebitur centri Lunje vera a Polo boreo diftantia —
Logarithmo log. diametri Luns horizontalis
addatur cofinus log. Declinationis Lunae •
fumma erit Log. log. vers diametri Lunae fecundum
Afcenlionem redam —
Afcenlioni redae limbi Lunas prascedentis obfervatse —
addatur femidiameter Lunse vera fecundum Afcenfionem redam
fumma erit Afcenlio reda centri Lun^e vera -
Afcenfione Lunae reda 42°. 43'. 32'', & diftantia ejus a Polo Boreo 71 "o
51'. 24" datis, invenietur ejus Longitudo Ecliptica « 15°. 42'. 12", cum
Latitudine Borea 1°. 38'. 37".
* Cum Parallaxis altitudinis fit in ratione finiis diftantiae a Vertice apparentis ; fi diftantia
apparens non detur, augenda erit diftantia vera ex conjedura, & inde quoerenda Parallaxis altitu-
dinis. Nempe fi diftantia a vertice vera pro apparente fumatur, & inde parallaxis altitudinis in-
reniatur, diftantia ilia vera hac Parallaxi audta pro apparente ufurpari poteft, & Parallaxis inde
inventa, a vera quam minimum aberrabit.
2506
2527
= 0 33 32
33 36 19
1625
2617
97.78
33 ^9 34
3^ 31 3?
71 SI 24
2395
;dam
= 0 34 34
42 26 15
0 17 17
42 43 32
De Lunce computo corrigenda,
Sicubi Tabulas a cslo longius aberrent, corriguntur ope Errorum Abaci,
qui in Obfervationim tabiilis ( i b & feqq) habetur. Errores enim ejufdera
fere magnitudinis poil exadtum annorum 1 8 eum diebus n. 7\ 43"". 20^
Periodum recurrent.
Ut igitur invenietur dies in Errorum Abaco tempori culibet dato refpondens
addatur haec Periodus (vel ejus multiplum, vel Feriodus Lunationum iii, qu£e
in tabula Periodum Liinarium -f- (* * E e 4) habentur) tempori dato, vel ab
eodem fubducatur, prout tempus illud Annos in Obfervationum tabulis prae-
eeflerit vel fecutum fuerit, ut fumma vel refiduum incidat in annum in illis
tabulis inveniendum J & ad diem hoc modo inventum, habebitur in Errorum
Abaco, error computi ad tempus datum. Et notandum- eft, quod harum
Periodum illte quae diverfum annorum biflextilium numerum admittunt, tem-
pora periodica unius diei fpatio ferius quam oportet quandoque reprcefentabunt.
Periodus /cilicet menfium 223 Synodicorum, eft Annorum 18 cum diebus 11..
7\ 43™ 20', quando non plures 4 Annis biffextilibus in ea numerantur ; verum
ubi 5 bilTextiles in fe continet, complebitur in Annis 18. lo^ 7^. 43°". 20'.
E X E M P L U M,
^luceritur tempus tra7i^ttis limbi LjIWcb fequentis per Meridianum
Grenovicenfem Die 2 8vo.. Decembris, Anno 1745.
Subdudlis a dato tempore annis 18 cum diebus 10 (quinque enim anni
biffexdles-- in hac Periodo numerantur) habebitur Decembris dies i8vus Anni
1727, ad quem diem in Obfervationum tabula invenietur tempus tranfuus liixibi
lunas obfervati 13''. 45™. 2l^ Anni ]8 cum diebus 10 a plena Perodio f". 43"'.
20' deficiuntj et in hoc temporis fpatio, Luna motu fuo medio arcum 4°. 14/
22'' perrcurrit, qui 16". 55^ in meridiano tranfeundo infumit. Subducantur igitur
16"". ^c^'' a tempore obfervationis, & habebitur 13^ 28"". 26' tempus tranfitus
limbi Lunae fequentis per Meridianum Grenovicenfem die Decembris 2 8vo
Anni 1745.
Ad hoc tempus Longitudo Ludjb ecliptica fecundum tabulas eft 51 6". 43 '.
8". Latitudo ejus borea 3°. 49'. 24",
In errorum Abaco die Dec 18. Anni 1727, invenietur error computi —
3'. 1'^, quo Longitudo Luns fupra inventa au'dla, fiet ejus Longitudo corredta
ad tempus datum a 6°. 46'. 9".
H^nc centri Luns Afcenfio reda
qucB (emidiametro ejus vera fecundum Afcenf. redlam aucfla
■ fiet liiijbi ejus fequentis Afcenfio reda — — o /
Soils Longitudini mediae ad datum tempus — 288 25
addatur arOiS dato tempori medio 13^, 28'". 26' pro-
portioiialis — — — 202 6 30
horum fumma eft Meridiani Afcenfio reda 130 31 32
Meridianus igitur hmbum LunjE fequentem prsetergrefTus eft arcu o i 36'
0
/
'/,
130
12
^8
^7
18
//
130
29
5^
2
qu
t Hsec tabuk Perlodos etiam Nodi compkftitui-; et utilis eft ad Eclipfium revoluticnes
hiveiti<::-indae..
qui tempore 6- a Meridkno percurrltur, quae a dato tempore fubducfta,
tempus tranfitus limbi Lunae fequentis darent, fi Afcenfio ejus redla cum qua
Meridianum tranfiit immutata manfiffit J Luna vero earn 4" fere minutis fe-
cundis interea auxerat, quibus arcus fupra inventus audlus fiet i'. 40", & limbi
tranfitus ex tempore arcus hujus defcriptionis asftimandus eft. Meridianus arcum
1'. 40", tempore 7' fere, percurrit. Subducantur igitur 7' a tempore
dato & habebitur tempus medium tranfitus Limbi Lunae fequentis 13^ 28". 19V
quem Rev. Dnus Bradleius ad ijK aS-". 2 1=. obfervabat.
De Lo^t^tudtnum terrejlrium inveftigatione ex ohfervationibusi
Lunce.
Obfervationes huic operi maxime idonese, funt, Appulfus Lunse ad Stellas fix-
as ; vel, diftantia ejus a fixa quae non longe diftat a parallelo Latitudinis in quo
Luna turn verfatur; vel denique, LuoEe a Sole diftantia in primo vel ultimo
menfis quadrante. Ex qualibet harum Obfervationum, data loci ubi ilia fada
fuerit Latitudine, Meridiani ignoti a Grenovicenli diftantia inveftigari poteft.
Invento enim tempore quod Grenovici numerabatur cum Obfervatio faita fuit,
ex temporum differentia dabitur Meridianorum diftantia.
E X E M P L U M,
Anno 1737. Jan. i. 6''. 4*". 30' temporis apparentis (quod in medium con-
verfum fit 6*". 13"". 40') fub elevatione Poli borei 65°. 50'. 50", Luna ftellam
y Tauri occultabat. Quasritur Meridiani ubi obfervatio fiebat a Grenovicenli
diftantia.
Dies hie in obfervationum Tabulis non invenitur ; fubduda igitur a data
tempore Lunationum 11 1 Periodo, habebitur Jan. 11, Anni 1728; ad quem
diem errorum Abacus i'. 18" Longitudini tabuiarum addenda indicat.
Longitudo Stellse turn temporis, fuit fecundura Catalogum Britannicum
n 2°. 7'. o", Latitude ejus Auftralis 5°, 46'. 22".
Pro tempore Grenovicenfi capiatur conjedura ex Ephemeridibus quibullibst
Londinenfibus ; hse conjundionem LuniE cum ftella ad horam circiter 5tam
ponieridianam retulerunt. Longitudo Lun^ ad hoc tempus e tabulis eft n 2°.
1'. 20", qua?, additione 1'. 18'/ correda, fit n 2°. 2'. 38". Latitude ejus
auftralis 4°. 50'. 18".
o 1 /r.
Parallaxis Lun^e horizontalis vera — ■ ■■ —
Longitudini Solis mediae ad idem tempus
addatur tempus obfervationis in Merid. ignoto 6''. 1 3"". 40'
fit Meridiani ignoti Afcenfio reda — —
Gradus Ecliptici nonagelTimus fub. elev. Poli 65° 50'. 50''
Angulus Lunae paralladicus —
(d) ' '¥era.
0
ss 41
292
II
24,
■ 93
25
O-
25
36
24
f
,»
24
56
24
5-
33,
2;
2r
Vera Lunas a vertice diftantla • — -- /T— " -r^ 55 12 54
Augeatur ex conjedura Parallax! altitudinis •-{- 46
fiet Luns a vertice diilantia apparens — • $5 59 °^
Luns Semidiameter apparens — — — — — — o i^
Parallaxis altitudinis vera — — — — -. o 46 10
* Parallaxis Longitudinis, verae Longitudini addenda o 4 28
Parrallaxis Latitudinis, verae Latitudini addenda — o 45 57
Locus igitur Centri Lunas apparens fuit n 2°. 7'. 6", cum Latitudine auftrali
50.36'. 15".
~ Cum vero Lunas Longitudo vifa, Longitudinem Steliee 6" minutis fecundis
fuperet, Stellas occultatio tempus ex Ephemeride aflumptum prsceffit.
Ad tempus corrigendum, convertatur Lunae Semidiameter apparens 15', 28",
ac etiam diftantia apparens Centri ejus a Stella fecundum Latitudinem 10'. 7",
in miniita fecunda, & differentia quadratorum harum quantitatum erit 492735",
cuj s Radix quadrata 702" =11'. 42", non multum aberrabit a Centri Lunse
dirtantia apparente a Stella, fecundum Longitudinem tempore occultationis.
augeatur hsec diftantia 6" illis minutis fecundis, quibus Centri Lunje longitudo
vifa Stellas Longitudinem, fecundum computum prascedentem, fuperabat ; &.
e tabulib mediorum motuum Lunse quseratur tempus quo Luna arcum 1 1 '. 48".
percurrit, quod 2 i'". 30' invenietur : quibus a tempore priori 5^ fubdudtis, in-
llituatuf computus ad tempus fic corredum 4''.
Ad hoc tempus Lunse longitudo correda eft
auftralis 4°, 49'. 59".
Meridian! ignoti Afcenfio reda
Gradus Ecliptici nonagt-ffimus — — —
Angulus Lunas Parallatticus —
Parallaxis longitudinis, addenda
Parallaxis latitudinis, addenda — — ■ — — — —
Stelte a centroLons diftantia apparens fecundum Longitudinem
eorundum diftantia apparens, fecundum Latitudinem — • —
Convertatur nunc Lunas femidiameter apparens 15'. 28'', ac etiam differenti
Latitudinum apparens 10'. 26, in minuta fecunda. Differentia quadratorum
iharum quantitatum erit quadratum diftantije apparentis Stells, in minutis fe-
cundis.
* De Parallaxibus hcec funt notanda.
Dum Luna in partibus caeli ad orientem gradus Ecliptici nonageffimi verfatur, Longitudo ejus
apparens veram fuperat ; dum vero partes occidentales occupat, Longitudo apparens a vera-
deficit.
Simile obtinet in Afenfionibus 're£tis, prout Luna ad orientem vel ad occidentem Meridian!
circuli per Loci verticem tranfeuntis, fita fuerit.
Qiiando angulus Lunag parallacSticus a circulo verticali cum circulo Latitudinis facSlus, major
eft refto verfus Polum Ecliptici a quo Latitudo Lunse nomen accipit, Latitude vifa veram ifu-
perat, & e contra.
Cum angulus Luns parallaiSicus a circulo verticali cum circulo Declinationis faftus, major efi:
?e£lo verfus polum iEquatoris cui Luna propior eft, Dn^clinatio vifa veram- fuperat, & vice
Ttcrfa,
cundls, a circulo Latitudinis per centrum Lunsc tranfeuntis ii'. 25"; quas m
radone cofinus latitudinis Stella? ad Radium auila fiet 1 1'. 284" Stell;£ diltantia
apparens a Lunas centro fecundum Longitudinem, tempore occultationis, Hsec
fuperat diftantiam fupra inventam 21", & tempus adhuc minuendum ell:,
Longitudo Luna3 apparens tempore ex Ephemeride afTumpto (fell. 5'') fuit
n 2°. 7^ 6", ilk vero tempore correfto (4'', 38"". 30=) fuit n 1°. ^^'. 34"^
harum differentia 11'. 32", eft motus Luna; vilibilis fpatio temporis 21". 30=..
et
Ut 11'. 32" : 21" :: 21'". 30' 155 — .
demptis igitur 5= de 4''. 38"^. 30=, habebitur ^^. 38". 25= tempus medium Gre-
novicenfe quando occultatio fub Meridiano ignoto obfervabatur. Subducatur hoc
tempus a date obfervationis tempore medio 6''. 13"". 40% refiduum iK 35". 15%
dabit Meridianorum diftantiam 23". 48'. 45".
Quoniam vero ftellarum occultationes minus frequenter navigantlbus fint
obfervabiles, illorum ufui magis commoda videtur diftantia Luns a Stella fixa^
cujus Latitudo non nimium diverfa fuerit ab ilia, quam tempore obfervationis
habuerit Luna.
Meridianorum diftantia quasfita intra tres vel quatuor gradus, ex diariis nauticis
plerumque innotefcit, et conjedura inde capi poteft pro tempore quod Greno-
vici numerabatur cum obfervatio fadla fuit : Ad quod tempus inveniantur e
tabulis Longitudo & Latitudo Lunas; & Longitudine ex errorum Abacocorreda^
inveniantur etiam Afcenfio ejus reda & diftantia a Polo ; & inde angulus azi-
muthalis, cum vera ejus a vertice diftantia, quse Parallaxi & Refradione cor-
rigatur in vifam. Ad idem tempus inveniatur angulus Stelte azimuthalis, Sc
diftantia ejus a vertice, quae etiam refradione minuatur.
Hifce inventis dabuntur in triangulo Sphsrico duo latera, Luna^ fciiicet &
Stella a vertice diftantise vilibiles, cum angulo azimuthali inter Lunte centrum
& Stellam, ab illis comprehenfo, ad latus tertium inveniendum ; quod Luns fe-
midiametro diminutum vel audum, prout limbus ejus propior vel remotior ob-
fervabatuPj arcui obfervato sequale erit, ft tempus Grenovicenfe rede fumebatur j
fin minus, ad tempus ex conjedura corredum computus denuo inftituendus
eft, & ex collatis errorib'us fatis tuto corrigetur tempus, 6c inde habebitur
Meridianorum diftantia.
E X EMPLUM.
Anno 1725'. Dec. 10. 1 1*", 14" temporis apparentis, medii vero 11''. 13%
ad occidentem meridian! Grenovicenfis, fub Poli borei elevatione gr. 40, ftelk
y Leonis a limbo Luns propiore 20°. 50' diftare obfervabatur, Qnjeritur Me-
ridian! ignot! a Grenovicenft diftantia.
Sumatur ex conjedura temporum differentia 2^. 8*", qua; tempor! obferva-
tionis addita, dabit i3\ 21™ pro tempore medio Grenovici numerate cum ob^
fervatio fada fuit»
J72S
o f It
J725. Dec. 10, i3'\ 21"' Longkudo Lunse e tabulis a 4 4 2
Corredio ex errorum Abaco -j-- 48 " / "
Longitudo Lunae vera — — — — 5^,44 50
Latitudo ejus borea — — — 5 59 47
Parallaxis Lunae horizontalis vera — i o 18
Lunas Afcenfio redta ■ ■ " 127 42 28
ejus a Polo boreo diftantia — — ■ 65 52 43
Meridian! ignoti Afcenfio reda — — — 78 46 8
Angulus Azimuthalis Lunee cum Meridiano circulo — 84 o 10
Diftantia Lunae a vertice — ■ — — 43 47 7
Parallaxis altitudinis vera — — — — -f- 42 16
Refradio — o 5"?
Lunas a vertice diftantia apparens — — — — 442830
Lunae femidiameter apparens — — — o 16 47
Longitudo ftellas y Leonis — ■ — Si 25 45 00
Latitudo ejus borea — — 8 47 27
ejufdem Afcenfio reda — *• 1511132
Stellaj a Polo boreo diftantia — 68 47 21
Angulus azimuthalis cum meridiano circulo — — 96 10 40
vera Stellse a vertice diftantia — 63 22 13
Refradio — i 46
Diftantia Stells a vertice vifibilis 63 20 27
Angulus Azimuthalis inter Stellam & Lunae Centrum 12 1030
Centri LunjE a Stella diftantia vifibilis — 2 1 1 3 1 3
fubducatur Lunae femidiameter apparens — o 16 47
habebiturLunaelimbipropiorisaStella diftantia vifibilis 20 5626
hjEC vero arcum obfervatum fuperat 6'. 26'/, & tempus aflbmptum corredione
indiget,
Tempori igitur addantur 1 5™ (Luna enim Stellam verfus progreditur) & ad tem-
pus medium Grenovicenfe 13^. 36™ invenietur Longitudo Lunse correda si 4». 14 .
10". cum Latitudine borea 4°. 59'. 40", & ex inventis iterum Lunse & Stellsdi-
ftantiis a vertice vifibilibus cum angulo azimuthali comprehenfo, invenietur Limbi
Lunasa Stella diftantia 20°. 47'. 17" quae 2'. 43" ab obfervata deficit. Luna
igitur temporis 15"" fpatio, motu fuo verfus Stellam arcum 9'. 9" percurrit; et,
Ut 9'. 9" : 6'. 26" : : 15" : lo*". 33^
addantur igitur lo*". 33' tempori prius aflumpto 13^ 21" & fiet 13^. 31'". 33=.
tempus Grenovicenfe quaefitum; eritque temporum differentia 2^ 18"". 33=
cui proportionalis eft arcus 34". 38'. 15" Meridianorum diftantia quaefita.
In hoc Exemplci diftantia Lunsa Stella vifibilis, fine ambarum a vertice diftan-
tiis fatis accurate definiri non potuit, propter nimiam in altitudinibus tam diverfis
refradionum difterentiam. Ubivero earum altitudines non valde insequales funt, *-
corredio
Vid. Ada Philofoph. No. 368. p. 169.
corredio propter Refradliones fatis accurate fiet, fi arcus obfervatus, totidem
minutis fecundis quot in eo numerantur gradus, augeatur j &; ex Paraliajcium
inveftigatione computus nonnihil compendiofior reddetur.
EXEMPLUM.
Anno 172 5._ Dec, lo. 12''. 50"' tempoiis medii fub Meridiano ad occidentem
Grenovicenfis, & Poll borei elevatione gr. 48, Stella jS Tauri a limbo Lunas
remotiore 47°. sj'- ^^" diftare obfervabatur. Quseritur Meridiani ignoti a Gie-
novicenfi diflantia.
Augeatur arcus obfervatus propter refradlones 48", & fiet 47°. 58'.
Sumantur pro temporum differentia 3''. 44"". & fiet tempus Grenovicenfe
i6\ 34'". ^ " I II
Ad hoc tempus Longitudo Luns fecundum tabb. eft ^ 6 4 o
Corredio ex errorum Abaco -j- o 48 " ' ''
Longitudo Lunas vera ■ ■fl 6 4 48
Latitudo ejus borea — — — — — 4 58 6
Parallaxis Lunse horizontalis vera • 1012
Meridiani ignoti Afcenfio reda 103 9 3
Gradus Ecliptici nonageffimus ^ g 4.0 o
Luna; Parallaxis Longitudinis, addenda o 24 38
Parallaxis Latitudinis, demenda ' — o 2 i 23
Longitudo Luna3 apparens a 6 29 26
Latitudo ejus borea apparens — — » 4 36 43
Stellse y Tauri Longitudo — n 1 8 43 50
ejufdem Latitudo borea — 521 34
Dantur igitur in triangulo fphserico duo latera, diftantia fcilicet Lunas apparens
a Polo Ecliptici boreo 85°. 23'. 17", & diftantia Stells ab eodem 84°, 38'.
26". una cum angulo ab illis comprehenfo, differentia fcilicet Longitudinum
47°, 45'. 36", ad latus tertium inveniendum - — — 47 34 25
quod auftum femidiametro Lunse apparente — — — — — 016 48
fiet limbi Lunas remotioris a Stella diftantia apparens — — — 47 5' ^3
verum arcus ex obfervatione fuic — — — — — — 47 'jS o
Differentia — — o 6 47
Ex conjedura corrigatur tempus. addantur itaque 15'" tempori affumpto 5c
fiet 16''. 49". Longitudo Luna;correda ad hoc teropus invenietur 51 6°. 14'. 7",
Latitudo ejus borea 4°. 57', 58". & Parallaxibus iterum inventis, habebitur ex
refolutione trianguli fphserici diftantia centri LunsE apparens a Stella 47°. 43'.
51", quse femidiametro Lunae auda fiet 48°. oL 39". arcum ex obfervatione
inventum 2'. 39" fuperans. Et cum horis 16. 34"' diftantia Luns a Stella
ab obfervata deticiebat minutis 6'. 47", Luna a Stella digrediebatur 9'. 26",
fpatio temporis 1 5 minutorum jet
Ut 9'. 26'^ : 6'. 47'' : : 15"': io"\ 42^
( e ) addantur
addantur Igitur lo"". 42', temporl ad prlorem comptitum affumpto, & habebltur
i6^ 44". 42% tempus medium Grenovici numeratum cum obfervatio in Me-
ridiano ignoto fadla fuit. Et temporum differentia 3^ 54", 42', arcus 58°. 40'.
30" proportionalis eft.
Eodem fere modo ac in exemplis prjecedentibus invenietur temporum diffe-
rentia ex obfervata Luns a Sole diftantia. Et cum Sol latitudine careat eo
rnagis fimplex evadit calculus. Ratio tamen Semidiametri ejus habenda eft,
qus arcui ex computo invento addenda vel demenda erit prout Limbus ejus
remotior vel propior obfervabatur. Solis femidiameter invenietur ope tabulse
(O o 5) quae diametros ejus exhibet Anomali^ ejus medise refpondentes.
PR.5:CEPTA CALCULI PLANETARUM QUINQUE.
Ad datum tempus, Planetce fuperioris vel i?iferioris locu?n in-
vefjtre.
1. Inveniatur Longitudo Solis vera ad tempus datum. Et e Tabula Log. di-
Jtantiariim Solis a terra (£64), capiatur logarithmus ad mediam Solis anoma-
liam refpondens.
2. E Tabulis Epocharinn & medioriim wotuirm, ad tempus datum colliganturj
Planetjs, Aphe.lii ejus, & Nodi, Longitudines meditE,
3. Aphelii Longitudo a Longitudine Planetse media fubduda, dabit Ano-
maliam ejus mediam & in tabula ^quationum Planets, inveniatur TEquatio'
Elliptica huic refpondens, quas fubdudta a Longitudine media vel eidem addita,
fecundum tabulas indicem, dabit Planetss Longitudinem heliocentricam in or-
bita propria.
4. A Longitudine Planetag heliocentrica, fubducatur Longitudo Nodi, refi-
duum, Argumentum Latitudinis appellatur ; cujus ope in tabula Latitudinarid
Planeta inveniantur Orbits ejus Inclinatio, Reducftio, & Logarithmus curtationis.
Redudio a Planets longitudine heliocentrica fubduda, vel eidem addita fe-
cundum tabula: indicem, dat veram ejus Longitudinem heliocentricam in E-
cliptica.
5. E Tabula logarithmorum dijlantiarum Tlanetce a Sole, capiatur Logarith-
mus Anomalias Planets medis refpondens, qui Logarithmo curtationis diminu-
tus, fiet logarithmus didantis Planetfe a Sole curtatas.
6. Planets fuperioris Longitudo heliocentrica a Longitudine Solis, vel Solis
Longitudo ab inferioris Planets Longitudine fubduda, angulus Commutationis
appellatur,
7. DlfFerentiffi Logarithmorum diftantis Soils a Terra, & diflantis Planets a
Sole, addatur anguli gr. 45 tangens logarithmica, erit fumma tangens logarith-
mica _anguli gradus 45 fuperantis.
Tangenti logarithmics exceflus auguli hujus fupra gr. 45, addatur tangens
logarithmica dimidli anguli Commutationis, horum fumma erit tangens anguli
■ijuo audus dimidius commutationis angulus Planets fuperioris, vel diminutus ft
Planets
Planeta unus ex inferlorlbus fit, fiet Angulus qui Elongationis appellatur. Si
vero Commutationis angulus dimidius tria figna fuperet, augendum vel liiinuen-
dum erit ejus ad fex figna complementum angulo invento, ut habeatur Eloii-
gatio,
8. Si Comutationis angulus fex lignis minor fit, Elongatio Planetse fuperioris.
a Solis longitudine fubdudla, ilia vero Planetas inferioris eidem addita, veram
Planete Longitudinem geocentricam dabit. Si vero angulus ille fex figna fuperet
contrarium in utrifque faciendum eft.
9. Tangens inclinationis Orbite PlanetcB, eft ad tangentem Latitudinis ejuf-
dem geocentric^, in ratione finus anguli Commutationis ad finum anguli Elon-
gationis.
EXEMPLUM I.
^ucBKitur locus Planetce Veneris geocentrkus An. 1690, %;;/. 13«,
1 7 1."" temporis medii.
OAnom.med.
% ° I n
6 12 55 43
5 •' 38 19
2 28
42
1690.
Jan. 13.
hor. I
min. 17
fee. 30
G M. Anom. ii 24 37 13
Apog. 3 7 28 30
3 2 5 43
-f- 10 41
Proftaph.
0 Long. 3 2 16 24
$ Elongat. -|- 17 38 40
? Long.Geoc. 3 »9 S5 4
% Lat. Bor. i 19 21
1
G Apog.
so///
3 7 2S 3
o 27
3 7 28 30
Proftaph.
Reduaio
S Helico.
G Subtr.
Commut.
dimidium.
? Long. med. $ Apog.
7 22 26 18
8 22 45 20
4
■5
+
16
7
48
29
4
•5
24
17
3«
4
3
'5
2
21
16
46
24
13 5 22
i°32 41
S Nodus.
6 22 5 2 13 52 43
25 14
10 6 22 30 2 13 52 57
"6 8 54 18 2 I 31 20
$ Med.Anom. Arg. Latit.
Log. dift. terra a Sole
Log. dift. ? a Sole
Tang.
54
-45
47 5'
0 0
Tang.
Tang.
Tang.
9
21
3
47 5'
32 41.
54 I
Inclin Bor.
0 / //
2 58 42-
5^.007256'
4-855745
10.15 '5' ''
9.237255:
9.596391
8.833646
17 38 40 % Elongatio.
Conmiut.43 5 22
Elong. 17 38 40
Inclin. 2 58 42
? Lat.
19 21
C. Ar 0.16549;
Sin. 9.48160
tan. 8.71624.
tan. 8.36333;
E X-
EXEMPLUM. II.
^ceritur locus Planet ce Jovis Geocentrkus A71. 1690. Dec. 3.
©Anom.med.
6 12 55 43
II 2 851
14 47
I 14
1690.
Dec. 3
hor. 6
O An. med.
O Apog. -}-
Proftaph.
O Long.
% Elong. +
i;Long.',Geoc.ii 29 58 58
Lat. Auftr. .1 22 47
?
I,-
20
3?
3
•7
28
59
8
22
49
34
—
30
2
8
22
19
32
3
7
39
26
6\ 30"" temporis jnedii
© Apog.
3 7 28 3
o 56
3 7 28 59
o; Proftaph.
V Long. med.
.1 13 7 16
28 o 58
on 93;
+ 10 57
on 20 32
Reduftio -j- ° 4
!{. Long. Heli. o 11 20 36
a O 8 22 19 32
Commutatio 8 10 58 56
femif. 4 5 29 28
femiffis compl. 54 30 32
1; Apog. Tl Nodus. Inclin. Auftr.
6 9 21 48 3 7 25 50 o I II
16 46 1 18 58
6 9 22 54 3 7 26 36
6 I 46 41 9 3 53 56
If. An. med. Arg. Latit.
Log. dift. % a Sole
Log. dift. © a Sole
Tang. 78 45 31
~ 45
5.694521
33 45 31 tang. 9.825034
54 30 32 tang. TO. 146874
43 8 54 tang. 9.971908
97 39 26 % Elongatio.
Commut. 70 58 56 Co. Ar 0.02437
Elong. 97 39 26 fin. 9.9961 1
Inclin. I 18 58 tan. 8.36125
If. I 22 47
3-38173
PR^CEPTA CALCULI SATELLITUM JOVIS.
DiJ}a?uias apparentes Satelliium a yovis Centra e terra vifas^ ad
datum tempus invenire.
1. Inveniatur Longitudo Soils vera, una cum Longitudinibus Planets helio-
centrica & geocentrica, ad tempus datuno.
2. E Tabulis Epoch arum ^ f7udiorum rnotiium (Aaaa 3 & Teqq) colligantur
Satellitum motus medii ad tempus datum, una cum loco Apfidis Satellitis quart!,
qui ab ejus Longitudine media fubdudus, dabit hujus Satellitis Anomaliam
mediam. In tabula /Equatiomim Veneris (U u 2) (cujus orbitjE ilia Satellitis
quarti fere rimllis deprehenditur) ad banc mediam Anomaliam inveniatur
ffiquatio, qua diminuta vel au(fta Longitudo media quarti Satellitis, iiet ejus
Longitudo vera. C?e:erorum trium motus medii /Equatione non indigent.
3. De locis Satellitum fingulis fubduc.itur Jovis' Locus geocentricus, & in
tabula Dift and arum apparentium Satellitmn a Centra Jovis, in Planeta Jemi-
diametris & femidia??ietri ccntiftimis (G g g g). inveniantur fingulorum didantise
appareotes a Centro Jovis, ad ha2C relidua relpondentes. Et cum hoc refiduutn
minus fex fignis fuerit, Satelles ad Planeta; partes orientales con^picietur, li vero
fex figna fuperaverit, ad occidentales ; ut in indice tabul;e notatur.
H^ quidem Satellitum diilantite apparentes a centro Jovis, Correflilone non
c^ebunt ii Jupitur in Perihello fuo & etiatn in oppofitione ad Solem fuerit. Ad
minimam
minimam fclllcet Jovls a Terra diftantiam tabulae conftrudae funt. In majoribus
vero Planetse a Terra diftantiis, fatellites, propter motum luminis progrefliyum,
locos e tabulis inventos ferius occupare videbuntur. Corrigendum eft igitur
tempus datum ope tabularum JEquationum luminis (F f f f 4). ^
4. A Solis Longitudine fubducatur Longitude Jovis heliocentrica, & in tabula
JEquationum luminis, inveniatur ^quatio huic refiduo refpondens ; quas augenda
eft e tabula CorreSiionum Mquationum luminis ad Jovis locum heliocentricuni j
& tempus datum hac ^quatione auflum, erit illud ipfum, quo fatellites locos in
tabulis inventos occupare videbuntur.
r. Ut igitur habeantur pofitiones Satellitum ad ipfum tempus datum, jequatio
luminis ab illo auferenda eft, & computus ad tempus fic corredum inftitur
endus.
E X E M P L U M,
^cerufitur dijlanttce Satellitum a Centra Jovis, ^ eorum pofitiones
meridie cequato Nov. 8. Anno 1719.
M.Med. I mi. MM. z-lf. MM. 3'". M M. 4". Apf. 4'!.
to/// 90/// i o I II i 0 I II so/ 50///
1719. 8 2 18 zo 3 18 14 o 10 10 51 58 o 26 38 4 II 9 12 O 7 '^^ 'i7 23
Nov. 8. 4 83343 10 8 56 9- 7 9 S 57 8-10 11 is- 31 ,^ ,.,
. — % H 5 21 26 56
010523 1,2710 9 5195755 9 6 49 16 II 9 43 If. G 6 o 811
llGeoc. 6 o 8 II 6 o 8 11 6 o 8 11 -{- 42 33 9 27 6
Q 3. % 2 511
6 10 43 52 7 -2.1 I 58 u 19 49 44 9 7 3'
6 o 8
— jEq. Lum. 10 28
3 7 23 38 Correflio 3 25
1,1 Occ. 7,89 Occ. 2,64 Occ. 26,17 Ori. 13 S3
Has funt Satellitum a Centro Jovis diftantis & pofitiones 13"'. 53^ poft
meridiem diei Nov. 8vi asquatum. Pro illorum vero locis ad ipfum tempus da-
tum computus inftitui debet ad 23**. 46*". f diei praecedentis. Cum autem
Satellitibus dignofcendis prsecipue inferviat haec computatio, ad quod parvi fit
plerumque momenti quadrantis horse differentia, ./Equationes luminis hie negligi
pofTunt.
Tempus Eclipfis^ Satellitis Jovis cujufcunque, quce proximepoji
datum tempus ejl futura, mvenire,
1. Ad datum tetp pus inveniantur Solis Longitado vera,. & Longltudines Jovis
heliocentrica & geocentiica.
2. Ex Epocharum {i? mediorum motuum tabulis colligantur Satellitis motus
medii ad tempus datum. Et, li Quarti Satellitis Eclipfis quasratur, corrigenda eft
Longitudo ejus media iEquatione Centri Veneris, ut fupra raonftratum eft.
(f) 3- A.
3. A Lohgitodine Jovis hellocentrica in OrbM pi-opria fubducatur Longi-
tudb Nodi Satellids (qui Anno 17 17 fuit :sr n». 30'), & in tshvXa Latitudina-
rid Satellitum Jovis (G g gg 2) inveniatur Redudio huic argumento refpondens,
qua Longitudo Jovis aud:a vel diminuta, fecundum tabulas indicem, ad Satellitis
Orbitani redacetur.
4. A Jovis Longitudine fie reduda fubducatur longitudo Satellitis media,
(5c in tabula Temporis mediis Satellitim motibus &c. (Eee e & feq) huic refiduo
refpondens inveniatur squatio, qua fi augeatur tempus datum, habebitur mediae
Eclipfis tempus medium. Quod fi non magis unius diei fpatio a dato tempore
diftet, correftione non indigebit j fi vero magis diftiterit, calculus ad horam
unam aut alteram ante tempus mediae Eclipfis fiipra inventum, denuo inftltu-
endus eft.
5. Tempus media; Eclipfis fie inventum, ^quatione luminis augendum
eft.
6. In tabulis Semidurationum Eclipfiiim Satellitum Jovis, (Ff ff 2 & feq),
ad Jovis a Nodo diftantiam, inveniatur Eclipfis femiduratio, quje a tempore
mediae Eclipfis fubduda, Satellitis in Jovis umbra-m immerfionem dabit, j& ad
idem addita, ejufdem ex umbra emerfionem.
EXEMPLUM.
^uaritur tempus medium Eclipjts prhni yovis Satellitis proxime
futures pojl meridiem Diet Nov, Svi. (Bquatum^ Anno 1719.
Longitudo Solis vera tunc temporis fuit 7 26 37 23
Longitudo Jovis heliocentrica in Orbita propria 5 21 25 56
Nodi Satellitis Longitudo, fubtrahenda — — — — — 101130 o
Argumentum Latitudinis — — — — — — • 7 9 SS S^
Redudio, a Longitudine Jovis fubtrahenda — i 59
Jovis locus ad Orbitam Satellitis redadus — — — 52123 57
Subtrahatur inde Satellitis Longitudo — — — — — o 10 52 3
refiduum erit, diftantia Satellitis! Conjundione qusfita — — 5 10 31 54
h m »
Huic arcui, in tabula Temporis medio &c. refpondent — 18 56 29
addatur j^quatio Luminis correda — — — — — "f" ^3 53
Summa erit tempus medium Conjundionis apparentis Nov. 8 — 19 10 22
Semiduratio Eclipfis ■ — — — _j. i 6 41
Immerfio 18 3 41
Emerfio ^o 17 3
Notandum eft, quod a tempore conjundionis Jovis cum Sole ad ejufdem
ad Solem oppofitionem, Satellitis primi immerfiones folae font vifibiles; ab
oppofitione vero ad Conjundionem, emerfiones ejus folummodo videri pofiunt.
Idem
Idem fere obtinet in Satellite fecundo ; ubi vero Jovis locus heliocentrlcus eft
circa medium Tauri, vel Scorpii, & Jupiter eodem tempore in quadraturis ad
Solem, hujus tam immerfiones quam emerfiones funt quandoque vifibiles.
Si Solis a loco Jovis heliocentrico diftantia major fuerit angulo gr. 45, tertii
Satellitis & Immerfiones & Emerfiones funt vifibiles.
Ambo hsec Phsnomena in quarto Satellite videre licet, ubi diftantia Solis
a loco Jovis heliocentrico angulum gr. 24 fuperat.
Sicubi vero Jovis diftantia a Satellitum Nodo alterutro angulum gr. 52 fuperat,
Satelles quartus eclipfin non patietur.
Errata in Prseceptk
P(a) I, 1. 9, foji tera, dele cmma. 1. 34, frt aquatio, lege Equatio. 1. 37, foji addenda;, fme emma, p. (a) 3, 1. 10, fofi
• Pro, dtlc funHum. 1. 16, fro Solis (Sf Luna, le%e Lamt cum Sole. 1. 17, />ro feq.), /<;^« feqq.). ibid. /iro Tabulis, lege ti-
bula. ihid. £f i8/rs (» E e 4) % (* * E e). 1. 17, J>oft{abi\ia&f cite cmma, £f «/am /o/? tabula, p. (a) 4, 1. 22, froAnom.
med. lege O Anom. mcd. p. (b) 1. 8, fo&gradus, adde £f admimta. 1. 21, foJi invento, adde in conjunftionibus, vel ab ejus
cppofito in oppofitionibus. Jn Exemflo, fro Ptoftaph. lege Profthaph. et in exempli: fe^uetitibut, fcri omnibus, ubi meitdose legitur
Proftaph. /ira Profthaph. In ejufdem exempli numeris ad dextram, pro o. 5. 10. 38, lege o. 4. 20. 38, p. (b) 2, I. 4, pro mm. 4s.
fee. 26. lege min. 40. fee. 16. 1, 6, pro fubducenda,; addatur, lege addenda; iuhducatur. 1. 7, pro 45™. 24', lege 35'°. 18'.
1. 35,?ro(**Ee)/tgf (*»Ee3). p.(b)4,l.«Bf<f£». rfj/s S » /.
P. (c)/io/!logarithmus, pone comma. 1. %ii,poft imxm pone comma. 1. 38, /ir» diftaverit /eff diftans erit. 1. 29, />5/? Radium, /one
comma, p. (c) 3, 1. 2J,^« 33. 19. 34, lege 33. 19. 54. p. (c) 4, 1. 4, pro exaftum, lege ocaftam. 1. 6, pro inwrnetur, lege
inveniatur. ibid, fro culibet, lege cuilibet. ). 24, /roPerodio %f Periodo. p. (d) 1. 3, pro manfiflit, /e^s manfiflet. p. (d) 2, 1. 7,
fro Parrallaxis lege Parallajus. J. 30, pro eorandum, lege eorundem. p. (d) 3, 1. 1, pro tranfeuntis, lege ttanfeunte. p. (e) 1, 23,
fro y, lege S. !• antepen, pro ab obfervata, lege ex compute inventa, ab obfervata diftantia,
P. (e) s, 1. 20, /lo^mediam, fone femicolon. 1. 37, foJi Sole, adde cuttatffi. 1. antepen. lege exceffi5i. p. (c) 3, 1. 15, fr) 2
Apog. lege ¥ Aphel. la exemflo medio, pro $ Helico. lege ? Helioc. p. (e) 4, 1. 4, fro If. Apog, lege If Aphe!, L «Ic
Jrtjupitor, /irgf Jupiter, In Indite, p. J, 1. 35, lege jSyBinjfl;». p. t, I, 10, Sege /E^arnsff/j,
PRECEPTS FOR COMPUTING THE PLACES OFJUPlTER's SATELLITES.
To find the apparent Di fiances of the Satellites from the Center of Ju-
piter, as feen from the Earth at a given time.
1. Find the Sun's true Longitude, and the heliocentric and geocentric LoHgitudes
of "Jupiter^ to the given time.
2. From the Table Epocha mediorum motuum Satellitum Jovis (A a aa 3 and the
following) and the Tables entitled MeJii motm ZSc for months, days, and parts of a
day, ccUecSl the mean Motions to the given time ; and likewife the mean Motion of
the Apfis of the fourth Satellite, which, fubtradled from the mean Longitude of that
Satellite, will give its Mean Anomaly. In Tabula /Equati 07mm Veiier is (U u 2) feek
the Equation anfwering to this Mean Anomaly ; and add it to, or fubtrad it from
the Mean Longitude of the fourth Satellite (as the Table iLall diredl), it will give the
true Longitude thereof The Mean Places of the other three Satellites require no
Equation of the Center.
3 . From the Place of each Satellite fubtrad the geocentric Longitude of Jupiter,
and in the Table Dijiantice apparentes Safellitiim a centra Jovis &c. (G g g g) find
the numbers anfwering to the diftance of each from the geocentric place of that Pla-
net, which are apparent diftances of each from the Center of Jupiter in Semidiam.e-
ters and hundredth parts of a Semidiameter of that Planet. And when the Argu-
ment of this Table is lefs than fix Signs, the Satellite will be feen to the Eaft oi Jupi-
ter, when greater, to the Weft ; as is exprelTed at the top and bottom of the Table.
Thefe apparent diftances of the Satellites from the Center oi Jupiter, need no corredtion
when that Planet is in its Perihelion, and at the fame time in oppofition to the Sun ; for
the Tables are conftrudted to the neareft diftance of Jupiter from the Earth : But
at all other times the Satellites will appear to come later to the places found from the
Tables, than the time to which they were computed, on account of the progrefiive
motion of Light. The given time therefore muft be correded by means of the Ta-
bles Mquatiojies Liiminis addendce, and Mquationum Lumifiis Corre£iiones (¥ ^H^).
4. From the Sun's Longitude, fubtra£l the heliocentric Longitude of Jupiter, and
in the Table JEquationes Luminis find the Equation anfwering to this Remainder, to
which add the Equation from the Table Mquationum Luminis CorreSiiones found by
the heliocentric Longitude of Jupiter ; their Sum, added to the Time for which the
computation was made, will give the true time when the Satellites fhall appear in
the Places before found.
5. Therefore to obtain the Situations of the Satellites to a given time, fubtradl the
Equations of Light from the time given, and compute to the time fo correfted.
(f; EX-
EXAMPLE.
Required^ the apparent Diftances of the Satellites from the Center of
Jupiter, and their Situations on the mean Noon of Nov. 8, 171 9.
M. Mot. I Sat. M. M. ad Sat. M. Mot. 3d Sat. M. M. 4th Sat. Apf. 4th
so/// t O / // S O / // ! ° / // SO/ SO///
I7I9 8 2 18 20 3 18 14 O 10 10 51 58 O z6 38 4 II 9 12 O 7 26 37 2J
*' " " 33 43 'o 8 56 9 7 9 ; 57 8 'o i' 'z 3_' V H 5 21 26 56
o 10 52 3 I 27 10 9 S "9 57 55 9 6 49 16 1 1 9 43 1|^ G 6 o
If Geoc. 60811 60811 60811 +42 33 9 27 6
6 lo 43 52 7 27 I 58 n 19 49
G fr. If H 2 511
3 7 23 38 Eq. of Light 10 28
Correftion 3 25
I, I Weft 7, 89 Weft 2, 64 Weft 26, 1 7 Eaft. 1353
Thefe are the apparent diftances of the Satellites from the Center of Jupiter and
their Situations 13'", 53' after the mean Noonof iVw. 8. Therefore to obtain them
to the given time, the computation fhould be made to 13"". 53' before the mean
Noon, that is to 23^. 46", 7= mean time of the preceding day. But as the chief
end of this calculation is to diftinguifh the Satellites one from another, for which
purpofe the diiFerence of a quarter of an hour is commonly of fmall importance, the
Equations of Light may here be neglected.
To find the time of the Eclipfe of any one of Jupiter'j Satellites^ which
fhall happen next after a given Time,
1. Find the Sun's true Longitude, and the heliocentric and geocentric Longitudes
of 'Jupiter to the given Time.
2. From the Table Epochce mediorum motuum (Aaaa3) and the Tables for
Months and Hours &c. colledt the mean Place of the Satellite for the given time.
And if an Eclipfe of the fourth Satellite is fought, corred its mean Longitude by the
Equation of the Center as above diredted.
3 . From the heliocentric place of Jupiter in his Orbit, fubtradt the Place of the
Nodes of the Satellites (which, in the year 1717, was found to be ^ 11°. 30') the
remainder will be the Argument of Latitude; and in Tabula Latitudinaria Satellitum
Jovis (Gg gg 2) find the Reduftion anfwering to this Argument, which, added
to, or fubtradted from the heliocentric place of Jupiter, according as the Table fhall
diredt, will reduce the fame to the Orbit of the Satellite.
4. From the Place of Jupiter reduced to the Orbit of the Satellite, fubtrad the
mean Place of the Satellite, and in Tabula temporis medio primi Satellitis a Jove mo-
tui congruentis f E e e e 4 j (if the Eclipfe of the firft Satellite be required^ or, in
Tabula temporis. mediis Satellitum fecundi, tertii & quarti motibus a Jove congruentis
(F f f fj (if the Eclipfe of one of the other three be foughtj find the time anfwering
to this remainder, which, added to the time given, will give the mean time of the
Middle of the Eclipfe, which, if it happen within a day of the given time, may be
taken as correft ; but if it exceed a day, the computation muft be made over again to an
hour or two before the time fo found.
I 5. To
5. To the time of the Middle of the Eclipfe found as above, add the Equations
of Light.
6. In the Tables Semidurationes Eclipjlum SatelUtum Jovis {^F f f f 2 &c.j find the
Semiduration of the Eclipfe of the Satellite, anfwering to the diftance of Jupiter
from the Node, which, fubtraded from the time of the Middle of the Eclipfe, will
give the Immerfion of the Satellite into the Shadow of Jupiter, and added to the
fame will give its Emerfion out of the Shadow.
EXAMPLE.
Required the ineati time of the Eclipfi oj the firfl Satellite of Jupiter
which fhall happen next after the mean Noon of Nov. 8. 171 9.
The Sun's true Longitude at the given time - - - - - - 7 26 37 23
The heliocentric Place of y«/zV^r in his Orbit ------- 52125 56
The Place of the Node of the Satellites, fubtrad - - - - -101130 o
The Argument of Latitude - --- - ------- 7 9 SS S^
The Redudlion to be fubtradled from the Place of Jupiter - - - — i 59
The Place of ^^j^/Vd-r reduced to the Orbit of the Satellite - - - 52123 57
from which fubtradt the Place of the Satellite - - - -010523
there remains the diftanceofthe point of Conjunftion from the Satellite 5 10 31 54
h m s
The time anfwering to this Arc in Tabula temporis medio &c. is - - 18 56 29
Add the Equation of Light with its corredion - -----+1353
Their Sum will be the mean time of apparent Conjunction Ncu. 8 - __I9 10 22
Subtract and add the Semiduration of the Eclipfe --- - — hi 641
Immerfion 18 3 41
Emerfion 20 17 3
It Is to be obferved, that the Emerfions of the firft Satellite are not vifible from
the time of the Conjundion of Jupiter with the Sun to the time of his Oppofition j
neither are the Immerfions thereof vifible from the time of Jupiter's Oppofition to
the Sun to the time of his Conjundion.
The like holds with regard to the fecond Satellite, except that when Jupiter's he-
liocentric Place is near the Middle ot Taurus or of Scorpio both the Immerfions and
Emerfions are fometimes to be feen.
When the Sun's diftance from the heliocentric Place of Jupiter exceeds an Angle
of 45 degrees, both the Immerfions and Emerfions of the third Satellite are vifible.
In the fourth Satellite both thefe phaenomena are vifible when the Sun's difi:ance
from the heliocentric Place of Jupiter exceeds an Angle of 24 degrees. But when
Jupiter is not within the diftance of 52 degrees of either of the Nodes, there can
be no Eclipfe of this Satellite.
R E-
REMARK.
TH E curious lover of Aftronomy, has therefore in thefe feries of oppofitions
of the Sun and fuperior Planets, as it were a fynopfis of their motions for
iixty fucceffive years, according to the order of time in which they were feen in the
Heavens, compiled with no lefs ftridnefs than diligence, from the moft accurate
Obfervations we could procure. You fee alfo our Tables are made to undergo an exami-
nation rigid enough: And yet be notfurprized that \n Jupiter the error fometimes arifes
to eight minutes, and fometimes in Saturn to ten : For indeed it cannot be
otherwife without aiTuming new hypothefes not yet fufficiently known and proved
by the Touch-ftone of the Heavens. Jupiter indeed in his motion from the oppo-
fition in the year 1677 to that of the year 1689, according to undoubted Obfervati-
ons, was found flower by twelve whole minutes than he was in the preceding or
fubiequent Revolution. Alfo Saturifs Period, between the years 1668 and 1698,
was fhorter than his mean Revolution by almoft a whole week ; and another Period
of his compleated between the years 1689 and 1719, was longer than the mican Re-
volution by about as many days ; fo that their difference in duration was above thir-
teen days. But whether this will be fo for the time to come muft be left to the Ob-
fervation of Pofterity.
It is more than probable that this is owing to the mutual adions of the greater
Planets upon one another, difturbing the centripetal forces of the Sun : For what hap-
pened in the year 1683 feemed no flight argument to prove this; for then there was
a conjundlion oi Jupiter and Saturn in thofe parts of their Orbits, where, on account
of the fituation of the Apfes, the Planets approached very near to each other ; their
joint forces then urged Saturn towards the Sun, and on the contrary Jupiter
from the Sun ; wherefore Jupiter, having his proper velocity increafed, and the
centripetal force of the Sun being decreafed, mufl: have run out into a greater Orbit,
and would require a longer time for a Revolution : While Saturn, at the fame time,
having his proper velocity diminifhed, and being urged with a greater force tovvards
the Sun, muft have been forced into a lefs Orbit, and fo revolve in a lefs time. If
the fame happen again and again, when Jupiter and Saturn are in conjundlion ia
Leo, we may juftly hope that the errors we find in their motions, as they are owing
only to the joint efficacy of three Centers, at length may be removed by the Neivto-'
nian Geometry. But if not, or if the Periods fhould prove longer where they are
now the fhorteft, or the contrary, there muft be fome extrinfic caufe, of which we
are now ignorant. But more of this elfewhere.
(Fff4) 72^
The Reverend Mr. James Bradley 'j Ohfervations on his Tables of "Ju^i-
ter'j Satellites.
N thefe Tables we have determined the mean Motions of the Satellites, by com-
paring fuch of the oldeft Ohfervations we could procure, as feemed to be the
moft accurate, with our own lately taken at Wanfted ; when Jupiter, after four
Revolutions, was nearly in the fame place in his Orbit. But comparing in like nian-
ner the Ohfervations at the diftances of one, two, and three Revolutions of Jupiter ^
we have fometimes found very remarkable differences in the motions of the three in-
ferior Satellites, efpecially in that of the fecond, or next but one to Jupiter.
It is not yet certain, whether thefe inequalities do not in part arife from the Ec-
centricities of their Orbits, and the motion of their Apfides ; but by what we can
colled; from the motions of the fecond Satellite, it is probable they may be occafion-
ed by the mutual aftion of the Satellites on each other : For fometimes the motion
of this Satellite does in fo fliort a time vary fo confiderably from its mean, that a fmall
Excentricity will not account for it ; while on the other hand, the reft of the Oh-
fervations will not allow a great one. As far as we can hitherto find, the Period of
thefe Errors nearly anfwers to the time the three inferior Satellites take in returning
to the fame fituation with refpedl to each other and to the Axis of the Shadow of
Jupiter^ which is 437 days, or after 123 Revolutions of the fecond Satellite. After
this Period, the like Errors return, nearly in the fame order : But in the intermedi-
ate time, that is, after 60 Revolutions, this Satellite will deviate 10", 20", 30"', and
evenfometimes 40 minutes of time from its rate of motion during the feven preceding,
or the feven following months. Now becaufe the Satellites are not found in the
fame place in the heavens after the aforefaid Period is compleated, it is poffible thefe
Errors may vary fomewhat on that account. And if the Orbit of this Satellite be
likewife excentric, as the late Ohfervations feem to make it, the inequalities arifing
from both caufes muft be very intricate, and not eafily to be feparated by Obferva-
tion alone.
The Errors of the firfl and third Satellite are not fo great, but feem to arife from
the fame caufes ; for they do not depend wholly on the Excentricity. We have alfo
remarked a fenfible difference between the durations of the Eclipfes of the firft, made
at the different Nodes, which were alternately longer and fhorter : that is to fay the
durations of the Eclipfes at the defcending Node in Leo, in the years i68f, 1691-,
a«d 1718, were at leaft 2''. ao'"; whereas at the afcending Node m Aquarius, in
the years 1677, 1689, they did not exceed 2^, 14"^; as it plainly apiieared by com-
paring many Ohfervations of fuch Immerfions and Emeriions as were as near
together as could be got. And it is manifeft this difference did not arife wholly
from the Excentricity of the Orbit, if it have any j but to what caufe it is owing
^gggs
me are hitherto ignorant. In the mean while, till we can get more light in this
matter from future Obfervations, it were to be wifhed that fome Geometer, in imi-
tation of the great Newton, would apply himfelf to the inveftigating thefe irregu-
larities, from the certain and demonftrative principles of Gravity.
From the Obfervations we have of the fourth Satellite, it is certain that its Orbit is
elliptical : and all our late Obfervations are truly reprefented by fuppofing its greateft
Equation equal to that of the Planet Fenm, or 48' ; and that its higher Apfis was
in K B". 00'. at the beginning of the year 17 17. On comparing this hypothefis
with the older Obfervations of the years 167 1, 1676, and 1677, the Computations
were found to differ greatly from the Obfervations. But putting back the Apfis to
^ 14°. 00' at the beginning of the year 1677, thofe differences almofl all vanifhed.
Allowing it therefore an equable motion of 6° forward in 1 o years, the hypothefis
was found to agree with the intermediate Obfervations, for which reafon we have
followed it in our Tables. And we find our Numbers every where to agree with
the Heavens (except only two Obfervations, both juflly to be fufpeded) within the
lixth part of a degree.
Our Table of the Equation of Light is made on a fuppofition that the Rays pafs
.equably over a fpace equaUo the diameter of the Earth's Orbit in 14 minutes of time,
and it anfwers to all diftances of Jupiter from the Earth when Jupiter is neareft to
the Sun. But as the diflance of this Planet from the Sun, when in its Aphelion, is
greater than its nearefl diftance by one fourth of the diameter of the Earth's Orbit,
we found it neceffary to add another Table for the correftion of thefe Equations.
As to the Latitudes of the Satellites, it is certain from the late Obfervations, that
the Nodes of the fourth are at this time in 1 1 f degrees of Aquarius and Leo ; and
that thofe of the third lie very near them. We have therefore afhgned the fame
places to thofe of the two inferior Satellites, not having yet found any thing from
our Obfervations to the contrary. And if the Nodes of the Satellites were forty
years ago in the 1 5th degree of Aquarius and Leo, where CaJJini places them, (whofe
authority in this matter is of the greatefl weight), they will appear to have gone
back about one degree in each Revolution of Jupiter. We have retained CaJJims
Inclination of the Orbits of the three inferior Satellites to the Plane of the Orbit of
Jupiter, 2°. 55' ; but we find the Inclination of the Orbit of the fourth to be fome-
what lefs, that is to fay 2°. 42'. It is certainly a very difficult matter to determine
accurately the fituation of Circles fo extremely fmall, nor is it to be undertaken with-
out cxquifite Tellefcopes.
The Reverend Mr. PwWwas pleafed to add, by way of Appendix, the follow-
ing Tables of his own, for computing the Eclipfes of the firfl Satellite by addition
only, after the manner of Mr. Cajims elaborate Tables, but much more compen-
dioufly.
Here follow Mr. Powid's Tables of the firfl Satellite. H h h h.
Gggg4 O/
Of the ConftruBion of thefe Talks,
THESE Tables conftruded fi-om the preceding, and recommending them-
felves by the eafinefs and fimplicity of the computation they afford, are de-
figned for finding the Longitudes of places on the Earth ; for by thefe alone, with-
out the help of any other Tables, the Eclipfes of the firll Satellite of 'Jupiter may
be prefently found by addition only, fo that the time and trouble of a laborious cal--
Gulation need not deter fuch as are not accuftomed thereto, from thefe iludies.
That the Reader may the better comprehend what thefe numbers are, he is to
take notice that the Epochs of the Conjundions are the mean times of the firft
Conjunftion of the Satellite v/ith the mean Place of Jupiter in the current Julian
Year, after fubtracSing 39'". 8'. therefrom, for the time the Satellite is pafling over
•an Arc of 5°. 31'. 36", equal to the greateft Equation of j^/^/'/V^r,
Number A is every where the mean Anomaly of Jupiter in thoufandth parts of a
Circle, each equal to 21'. 36". Num. B is the diftance of the mean Place of Jupiter
from the true place of the Earth, at the radical Time, in thoufandth parts of a Cir-
cle, diminifhed likewife by 15^ of thofe parts for the greateft Equation q{ Jupiter.
Hence, the greateft Equations being fubtraded from the Epochs, the others be-
come every where additive : Thus the Equation of the Conjunftions is the fum or
difference of 39'. 8", and of the time in which the Equation of Jupiter 2Xs{\Ntx\x\%
to the mean Anomaly A is pafTed over by the Satellite's mean Motion from Jupiter ;
hence it becomes o at Num. A 260, but at Num. A 740 is double the greateft, or
iK 18". 16'. In like manner the Equation to Num. B is the fum or difference of
I 5y parts, and the fame Equation of ya/i/Zfr in thoufandth parts of a Circle, applied
contrary wife, and therefore becomes double, or 31, when Num. A is 260, and o
when Num. A is 740. In the Table of Months Num. B encreafes unequally on
account of the inequality of the Sun's motion ; therefore if to the colledlive Num. B
its Equation be added, their Sum (or Num. B equated) will be theiAngle of Com-
mutation, or the diftance of the Sun from the heliocentric y^\A.CQ.oi Jupiter ; and this
is the Argument of the fecond Equation, which is the Equation for the progreflive
motion of Light. The third Equation anfwers to Num. A, and is no other than^
the corredion of the Equation of Light, and is likewife additive.
By this artifice, not only all the Equations become additive, but as both the
Numbers A & B are of a decimal denomination, they are eafily colledted without
any danger of miftakes.
In Leap Years, zix&x. February^ fubtrad; one day from the Times of Conjundioii'
found by the Tables.
HKlih6 Of
Of the 'Tables of Saturn'^ Satellites.
THESE Tables of the motions of Saturn\ Satellites are no other than Cajim'i^
reduced to the Meridian of London and to the Julian Stile, v/hich that moft
excellent Aftronomer firfl publiflied in the year 1716, in the Memoirs of the Royal
Academy at Paris, and which we juflly prefer to our own in the Philofophical
Tranf. N° 356, as they were drawn up in halle. Thefe Tables indeed are abundantly
fufficient to diftinguirfi the Satellites among themfelves, and to find their places in
relped: to Saturn, which, becaufe of their fmallnefs, would be hard to find by an
indifferent eye ; if it did not rightly know where to look for them : However it is
evident they were not finiflied by the renowned Author, but rather were prefented
to the Public, that Aftronomers by their means might conveniently know before-
hand thofe opportunities of making their Obfervations, which might very much
conduce towards perfecting the theory of their motions.
Now the Periods of thefe Satellites, in which they revolve to the Equinox or be-
ginning of Aries, are fuppofed to be thefe, viz.
dhms dhms
Ofthejirfl or in77iofl 1 21 18 27 Of the fecond 2 17 41 22
Of the third or middle 4. 12 25 12 Of the fourth {the liny g^mzn) 15 22 41 12
Of the fifth ox outmofi 79 7 47 o
Now fuppofing (according to the general Rule of Nature, at leaft in this our
Syftem, which obtains as well in the motions of the Satellites of fupiter and the
Moon, as in the motions of the primary Planets about the Sun) that the forces tend-
ing to the Center of Saturn are reciprocally in the duplicate Ratio of the diftances,
and therefore that the Cubes of their diftances from his Center are as the Squares of
the periodic Times ; from the difcance and period of the fourth, the diftances of the
reft are deduced.
But by late Obfervations with the long Telefcope of the Royal Society, which is
above 120 feet, with the affiftance of a moft curious Micrometer, Mr. Pound iound
the Ratio of the diftance of the fourth and greateft Satellite from the Center of Sa-
turn, to be to the Semidiameter of his Ring as 374 to 43, or as 8,7 to i nearly;
alfo the Ratio of the Diameter of the Ring to that of Saturn itfeif to be as 7 to 3 .
Therefore by computation the diftances will come out as follows.
Radius Radius Radius Radius
of the Ring. o/"Saturn. of the Riitg. oj Saturn. _
Thefirft 2,097 4,893 I
He fecond 2,686 6,268 j The fourth 8,698 20,295
The third 3,752 8.754 j The fifth 25,348 59, J 54
And in this year 17 19, on the 29th day of May Old Stile, at lo*^, Mr. Pound
obferving with the fame Inftruments, the fourth Satellite was feen in its greateft
eafterly digreffion, to be diftant from the Center of Saturn, who was then in 7°. 41'
of TI[, three minutes and feven feconds. Whence, by a juft computation, the Ratio
of this diftance of the Satellite from Saturn is to the diftance of the Sun from the
Earth, as 8,25 to 1000 3 from which the diftance of the reft may be eftimated.
Now
Now Cajftnl fuppofes the four inferior Satellites to move in the plane of the Ring,,
or that their Orbits are inclined to the plane of Saturn"?. Orbit in an Angle of thirty
degrees : For when Saturn is about the riiiddle of Gemini and Sagittarius, then the
greater Axis of the Ring, which is then of the greateft width, is found to be
nearly double to the leffer Axis ; and thefe Satellites feem to delcribe Ellipfes al-
ways fimilar to that of the Ring; fo that in their greateft digreffions from the Planet
they are found in the greater Axis of the Ring produced : Which things could not
happen, unlefs the Orbits of the Satellites had almoft the fame fituation with the
plane of the Annulus or Ring.
But lately the famous Aftronomer Miraldus, with the beft of Telefcopes, and eyes
more than Lyncean, has fought for the Nodes of the Ring ; as may be feen in the
Mem. Roy. Acad, of Paris for the years 1 7 1 5 and 1 7 1 6. For he demonftrates from
very fubtil Obfervations, that the plane of the Ring in the year 17 15, interfered
the plane of Saturn's Orbit at the 19°. 45' of Virgo &; Pifces; and granting the An-
gle of Inclination to be 30 degrees, the fame plane of the Ring interfeifled the plane
of the Ecliptic or Orbit of the Earth, in the 1 6°'- of U]) & K , being inclined , to it
in an Angle of 31°. 20'.
In order therefore, at any given time, to know exactly the pofition, fpecies, and
points of the Apogee and Perigee, both of the Ellipfes of the Ring, and of thofe
which the Satellites defcribe, we muft refolve an oblique angled fpherical Triangle,
as was fhewn before in the Precepts for calculating the Latitudes of Jupiters Sa-
tellites.
Now as the Latitude of the Earth, in refpedt of the Orbit of Saturn, fcarce ever
exceeds the fourth part of a degree, it may, in this affair not yet fufficiently known,
be fafely neglected, as if both Planets moved in the fame Orbit. Wherefore, from
the geocentric place of Saturn, fubtradl 5 fig. 19°. 45', and there will remain the Ar-
gument of Latitude ; with which, in Tabula Latitudinarid Satellitum I. If. III. IV.
(K k kk 2) take the Inclination, which is the Angle wherein a vifual Ray drawn from
the Earth to Saturn is inclined to the Orbits of thefe Satellites : And whofe Sine is to
Radius, as the leffer Diameters of thefe apparent Orbits are to the greater : And
let the Elhpfis of theRing be of the fame fpecies, the apogean Semicircle lying to-
wards the North, if the Argument of Latitude be lefs than fix Signs, but toward
the South if greater. We have added alfo a Table of ReduSiiofis, neceffarily requi-
fite, in fo great an inclination of the planes, for the knowledge of the true Apogee
of the Satellites,
Moreover the moft excellent CaJJtni has lately difcovered, that the fifth and out-
ward Satellite is carried round in an Orbit very difl?erent from the reft ; its afcending
Node being found to be in 5°. 00' of llj}, with an Angle of Inclination of 15° only,,
or of half the former. Wherefore we have accommodated alfo to this a Table of
Inclination and Redudlioru
Kkklc^-
SYNOPSIS
O F T H E
ASTRONOMY of COMETS,
TH E antient Egyptians and Chaldeans^ if we may credit Diodorus Siculus, by
a long courfe of Obfervations, were iaid to be able to predid: the Appariti-
ons of Comets. But fince they are alfo faid, by the help of the fame arts, to have
prognofticated Earthquakes and Tempefts, 'tis pad all doubt, that their knowledge
in thefe matters, was the refult rather of meer aftrological prediftions, than of any
aftronomical Theories of the celeftial motions. And the Greeks, who were the con-
querors of both thofe people, fcarce found any other fort of learning amongft them,
than this. So that 'tis to the Greeks themfelves as the inventors, and efpecially the
great Hipparchus, that we owe the Aftronomy we have, and which is now improved
to fuch a height. But yet among the Greeks, the opinion of Arijiotle, who would
have Comets to be nothing elfe, but fublunary vapours, or airy meteors, prevailed fo
fo far, that this mofl difficult part of the Aftronomical Science lay altogether neg-
iedled ; for no body thought it worth while to take notice of, or write about, the
wandering uncertain motions of what they efteemed vapours floating in the Ether j
whence it came to pafs, that nothing certain concerning the motions of Comets, can
be found tranfmitted from them to us.
But Seneca the Philofopher, having confidered the phasnomena of two remarkable
Comets of his time, made no fcruple to place them amongft the celeftial Bodies ; be-
lieving them to be Stars of equal duration with the World, tho' he owns their moti-
ons to be governed by laws not then known or found out. And at laft, which was
no untrue or vain predidlion, he foretells, that there fhould be ages fome time here-
after, to whom time and diligence Jhould unfold all thefe myfteries, and who fhould
wonder how 'twas poffible the Antients could be ignorant of them, after fome lucky
interpreter of nature had {hewn, in what parts of the Heavens the Comets ivandered,
what fort of Beings, and how great they were. Yet almoft all the Aftronomers differed
from this opinion of Seneca ; neither did Se7ieca himfelf think fit to fet down thofe
phsenomena of the m-otion, by which he was enabled to maintain his opinion; nor
the times of thofe appearances, which might be of ufe to pofterity, in order to deter-
mine thefe things. And indeed in turning over many hiftories of Comets, I find no-
thing at all that can be of fervice in this affair before A. D. 1337. At which time
JSicephcrus Gregoras, a Confantinopolitan Hiftorian and Aftronomer, did pretty ac-
curately defcribe the paths of a Comet amongft the fixed Stars, but was too lax as
to the account of the time ; fo that this moft doubtful and uncertain Comet only de-
ferves to be inferted in our Catalogue for the fake of its appearing near four hundred
years ago.
1 LIII3 The
The next of our Comets appeared in the year 1472, which is the fwifteft of all, and
neareft to the Earth; Regiomontanus obferved it. This Comet, fo fearful upon,
the account both of the magnitude of its body, and tail, moved forty degrees of a
great Circle in the Heavens, in the fpace of one day ; and was the firft, of which
any proper Obfervations are come down to us. But all thofe who conlidered Comets,
until the time of Tycho Brake, that great reftorer of Aftronomy, believed them to
be below the Moon, and fo took but little notice of them, reckoning them to be
no other than vapours.
In the year 1577, Tych ferioufly purfuing the ftudy of the Stars, and having pro-
cured large inftruments for the performing of celeftial Menfurations, with far greater
care and certainty than the Antients could ever hope for, there appeared a remark-
able Comet ; to the Obfervation of which Tycho vigoroufly applied himfelf ;. and
found by many juft and faithful trials, that it had no diurnal Parallax that was per-
ceptible : And confequently was no aerial vapour, but alfo much higher than the
Moon ; nay, might be placed amongft the Orbs of the Planets, for any thing that
appeared to the contrary ; the cavilling oppofition, made by fome of the Schools-
men in the mean time, being to no purpofe.
Tycho was fucceeded by the moft fagacious Kepler. He having the advantage of
Tycho s Labours and Obfervations, found out the true Phyfical Syftem of the World,
and vaftly improved the Science of Aftronomy.
For he demonftrated that all the Planets perform their Revolutions in Elliptic Or-
bits, whofe planes pafs thro' the Center of the Sun j obferving this law, that the
Areas of the elliptic SeSiers, taken at the Center of the Sun, which he proved to be in
the common focus of thefe Ellipfes, are always proportional to the times in which the
correfponding elliptical Arcs are defcribed. He difcovered alfo, that the diflances of
the Planets from the Sun are in the fefquialter Ratio of the periodical Times ; or, which,
is all one, that the Cubes of the dijiances are as the Squares of the times. This great
Aftronomer had the opportunity of obferving two Comets, one of which was a
very remarkable one. And from the Obfervations of thefe, which afforded fufficient
indications of an annual Parallax, he concluded, that the Comets moved freely thro"
the Planetary Orbits, with a motion not much different from a reSiilinear one -, but of
what kind he could not then determine. Next, Hevelius, a noble emulator of Tycho
Brake, following Kepler'?, fteps, embraced the fame hypothefis of the redlilinear
motion of the Comets, himfelf accurately obferving many of them. Yet he com-
plained that his Calculations did not perfedlly agree to what he obferved in the Hea-
vens : And fulpecSed,. that the path of a Comet was bent into a curve fine concave tor-
wards the Sun.
At length came that prodigious Comet of the year 1680, which defcending, al-
moft perpendicularly towards the Sun, arofe from him again with as great a velocity.
This Comet, which was feen for four months continually, by the very remark-
able and peculiar curvature of its Orbit, above all others, gave the fittefl:
occalion for invefligating the Theory of its motion. And the Royal Ob-
fervatories, at Paris and Greenwich, having been for fome time founded, and'
committed
L 1:1 1-4;.
committed to tine care of moft excellent Aftronomers, the apparent motion of this
Comet was mOft accurately, perhaps as far as human fkiil could go, obferved by
Mr. CaJJini and Mr. Flamjleed.
Not long after, that great Geometrician the illuftrious Newton, writing his Ma-
thematical Principles of Natural Philofophy, demonftrated not only what Kepler had
found, did neceffarily obtain in the planetary Syftem ; but alfo, that all the phsno-
mena of the Comets would evidently follow from the fame principles ; which he;
abundantly illuftrated by the example of the faid Comet of the year 1680, fhewing
at the fam.e time, a method of delineating the Orbits of Comets geometrically ;
therein folving, not without meriting the higheft admiration of all men, a Problem
whofe intricacy rendered it fcarce acceffible to any but himfelf This Comet he
proved to move round the Sun in a parabolical Orb, and to defcribe Area's, taken at
the Center of the Sun, proportional to the times.
Wherefore, following the fteps of fo great a man, I have attempted to bring the
fame method to an arithmetical Calculation ; and that not without fuccefs. For, having
coUeded all the Obfervations of Comets I could, I have framed the following Table,
the refult of a prodigious deal of calculation : Which, though but fmall in bulk,
will be no unacceptable prefent to Aftronomers. For thefe numbers are capable of
reprefenting all that has been yet obferved about the motion of Comets, by th« help
only of the annexed general Table j in the making of which, I fpared no labour,
that it might come forth perfedV, as a thing confecrated to pofterity, and to laft as
long as the Science of Aftronomy itfelf
This Table of the Elements (Mmmm2)confifts often Columns, whereof the ^r/?
gives the years wherein the Comets werefeen. The fecond and third exhibit the pofitioii
of the planes of the Comets Orbits ; that is, the points of the Ecliptic where their
afcending Nodes were at the time they appeared, and the Angle of their Orbits Incli-
nation to the Ecliptic. The fourth gives the places of their Perihelions, or the Vertices
of their parabolic Orbits, reckoned in their own Orbits. The fifth gives the ieaft di-
ftances of the Comets from the Sun in their Perihelions, in fuch parts as the mean
diftance of the Sun from the Earth contains 100000. In the fixtb are the Loga-
rithms of the Ratios of thofe diftaruces to that mean diftance from the Sun. The fe-
venth contains the Logarithms of their mean diurnal motions, the time in which the
Comet traverfes ninety degrees of its Orbit from the Perihelion, being fuppofed to be
divided into a hundred parts. The eighth exhibits the equated times of the Perihe-
lions for the Meridian of London and Julian Stile. The nii^h gives the Angles in
the planes of their Orbits intercepted between their Perihelions and afcending Nodes,
by means whereof the calculus becomes fomewhat eafier. Finally, the tenth fhews
which of their motions were according to the order of the Signs, and which on the
other hand were retrograde.
Then follow the Tables for the Motions of Comets.
M m m m The
The ConJiruBion and Ufe of the General Table.
AS the Planets move in elliptic Orbits, fo do the Comets (as 'tis faid) in para-
bolic ones, having the Sun in their common Focus, and defcribe equal Areas
in equal times. Now fince all Parabola's are fimilar Curves, therefore if any deter-
minate part of the Area of a given Parabola be divided into any number of parts, by
right lines drawn from the Focus ; there will be a like divifion made in all Parabola's
under the fame Angles, and their refpedtivediftances from the Focus are proportional:
Confequently this one Table of ours will ferve for all Comets.
Now the manner of calculating this Table is thus derived.
In the Fig. let S be the Sun, P O C
the Orbit of a Comet, P the Perihe- ^^ c
lion, O the place where the Comet
is 90° diftant from the Perihelion, C
any other place. Draw the right
lines CP, CS, and make ST, SR,
equal to C S ; and having drawn the
right lines CT, CR, (whereof the
one is a Tangent, and the other a
perpendicular to the Curve) draw C (^perpendicular to the Axis P S R.
Now any Area being given, as CO PS = ^ ; 'tis required to find the Angle C SPj
and the diftance C S.
From the nature of the Parabola RQjs ever equal to half the Parameter to the
Axis, and confequently if the Parameter be put =r 2, then R Q = i.
Let C Q^== z ; then P Q = ^ 22; ; and the parabolic Segment C O P = ~ zzz.
But the Triangle C SP will be = -^z; and fo the mixtilineal Area COPS will be
-'- 2;3 -|- i ^ = ^ ; whence z^ -j- 3 ;2 = \za : Wherefore refolving this cubic Equa-
tion, z or the ordinate C Qjvill be known. Now let the Area O P S be propofed to be
divided into one hundred equal parts. This Area is ,V o^ the Square of the Parame-
ter ; and confequently 1 2 <^ is equal to that Square = 4. If therefore the Roots of thefe
Equations z;^ -|- 3 s = 0,04 j 0,08; 0,12; 0,16, &c. be fucceffively extradted,
there will be obtained fo many Values of ^, or Ordinates C Q refpedtively, and the
Area S OP will be divided into one hundred equal parts. And in like manner is the
Calculus to be continued beyond the place O. Now the Root of this Equation, fince
RQ is = I, is the tabular Tangent of the Angle CRQ, or half the Angle CSP,
wherefore the Angle CSP is given. And R C, the fecant of the fame Angle
C R Q^, is a mean proportional between R Q^z: 2 P S, or unity, and R T, which
is the double of SC, as is evident from Conies. Therefore SP is to S C in the du-
plicate Ratio of the Radius to the fecant of half the Angle from the Perihelion of
the Comet ; or elfe in the Ratio of the verfed Sine of the Angle C S R, or of the
Angle from the Comet's Aphelion, to the Diameter of the Circle. After this man-
ner therefore, I compofed the foregoing Table, which fcrves to reprefent the moti-
ons of all our Comets, of which hitherto there has been none obferved, but come
within the laws of the Parabola. *.
* Except that of i68o, which the Doftor calculates for an Elliptic Orbii
Nn n n 3
It remains now to give the Rules for the Calculation, and to {hew how the ap-
parent place of a Comet may be determined by thefe numbers. Now the velocity of
a Comet moving in a parabola, is every ivhere to the velocity of a Planet defer ibing a
circle about the Sun, at the fame dijlance from the Sim, as ^J 2 to 1 , as appears from.
Cor. 7. Prop. 16. Lib.l. of the Princp. Phil. Nat. Math. If therefore a Comet in
its Perihelion was fuppofed to be as far diftant from the Sun as the Earth is, then
the diurnal Area, defcribed by the Comet, would be to the diurnal Area defcribed
by the Earth, as -v/ 2 to i. And confequently the time of the fynodical Year, or
365'*. 6''. 9™, is to the time in which fuch a Comet would defcribe the Quadrant of
of its Orbit from the Perihelium, or the Area analogous to the fpace P03, as the
Area of a circle, or 3,14159 &c. to the parabolic A.rea j=f x Vj-^fVa. There-
fore the Comet would defcribe that Quadrant in 109 days, 14 hours, 46 minutes ;
and fo the parabolic Area POS being divided into 100 parts, to each day there
would be allotted 0,912280 of thofe parts ; the Logarithm whereof, viz. 9,960128,
is to be kept for continual ufe. But then the times in which Comets, at a greater
or lefs diftance, would defcribe fimilar Quadrants, are as the times of the revolutions
in circles, that is, in the fefquiplicate Ratio of the diftances : Whence the diurnal
Areas eftimated in centefimal parts of the Quadra^it (which parts we put for mea-
fures of the mean motion, like degrees of Anomaly) are in each, in the fefquialter
Ratio of the diflance from the Sun in the Perihelion.
Thefe things being neceffarily premifed, let It be propofed to compute the ap-
parent place of any one of the forementioned Comets for any given time.
1*^'. Let the Sun^s place be had, and the log. of its dijlance from the Earth.
2^. Take the difference between the given time and the time of the PerihelicUy
taken from the eighth column of the Elements, in days and decimal parts of a day :
To the Logarithm of this number, let there be added the conjlant Logarithm
9,960128, and the cofnplement arithmetical of once and a half the Logarithm of
the dijlance of the Perihelion from the Sun : Their Sum will be the Logarithm of
the Comefs mean Motion, to be fought in the firfl column of the general Table.
But this may be obtained in a fhorter way, viz. by only adding the Loga-
rithm of the time to the Logarithm of the mean diurnal motion taken out of the
feventh column.
3*^. With the mean Motion, let there be taken the correfpondent Angle from the
Perihelion in the Table, and the Log. for the diftance from the Sun : Then if the time
be after the Perihelion, in Comets that are direB, add, and in retrograde ones, fubtraSi,
the Angle thus found, to or from the Perihelion (in col. ji^th). Or if the time be before
the Perihelion, in direSt Comets, fubtraSi, and in retrograde ones add, the forefaid
Angle to or from the place of the Perihelion ; and fo we Jhall have the place of the
Comet in its Orbit. And to the Log. for the diftance there found, let there be added
the Log. of the diftance in the Perihelion, (col. 6th) and the Sum will be the Log,
of the true dijlance of the Comet from the Sun.
N n n n4
4'''. The place of the Node, (col. 2) together with the place of the Comet in its Or-
hit being given, let the diftance of the Comet from the Node be found ; then the IncU-
iiation of the Plane being given, (col. 3 j there will be given alfo, from the common rules of
Trigonometry, the Comet's place reduced to the Ecliptic, the Inclination, or heliocentric
Latitude, and the Log. of the curtate diftance.
5"'. From thefe thijigs given, by the very fame rules that we find the Planet's places,
from the Sun's place and diftance given, we may obtain the apparent or geocejitric place
of the Comet, together with the apparent Latitude. And this it may be proper to il-
hiflrate by an Example or two.
EXAMPLE I.
Let it be required to find the place of the Comet of the
P. M. London. That is 96''. 19^. 8"", after the
vember 24^ 1 1^ 52
year 1667, March i*^. 7''. oo™>
Perihelion^ which happened No-
Log, dift. Perihel.0,01 1044
Log. Sefquial. 0,016566
Comp. ArJth. 9,983434
9,960128
Log. Time 1,985862
Log. Me. Mot. 1,929424
Mean Mot. 85,001
Perihel. ft 10 41
Ang. correfp. 83 38
Com. in Orb. ^ 17 3"
Afcen. S3 3J 21 14
25
20
00
Com. a Node 34 10
Red. to Eclip. 32 19
Com. Helio. ^ 18 54
Inclin. North. 1 1 46
Log. fordift. 0,255369
Log. Perihel. 0,0 1 1 044
Co-fin. Incl. 9,990754
Log.Curt.dift. 0,257167
Log. dift. o 9.997939
O K 21.44.33
Com.Ap.pl.v29. 18.20
Ap. lat. 8.3 6. 1 5 N.
EXAMPLE n.
Let it be required to find the place of the Comet of the year 1683, July 23, 33''. 35"",
P.M. London, Or 13^ 40"", Equated Time, That is 21*. 10^. 50"", after the
Perihelion.
Log. dift. Perihel.9,748343
Log. Sefquial. 9,622514
Comp. Arith.
Log. Time
Log. Me. Mot.
Mean Mot.
0,377486
9,960128
1.3 '07^3
1.648337
44,498
Perihel. I 25 29 30
Ang. correfp. 56 47 20
Com. in Orb. T 28 42 10
y >< 23 23 00
Com. a 5S 35 19 10
Red to Eclip. 4 48 30
Com. Helioc. K 28 11 30
Inclin. North. 35 2 00
Log. for dift. 0,111336
Log. Perihel. 9,748343
Co-fine Inclin. 9,913187
Log. Curt. dift. "9,772866
Log. dift. o 0,006062
o Place iTt 10.39.14
Com. Ap. PI.S5.1 1.28
Lat North. 28.52.13
At the time fpecified in the firft Example, 'twas obferved * from the feparate
Obfervations of Azoutio and P. Gottignio, that the apparent place of this Comet,
was fo near the fecond Star of Aries, that it was not above nine or ten minutes more
northerly, and as to the Longitude it nearly agreed -j-. But at the time of the fe-
cond Example, I myfelf, near London, with the fame Inftruments whereby I for-
merly obferved the fouthern Conftellations, found the place of the Comet to be S.
5°. \\'-, with 28°. 51' North Latitude, which agreed exadly with the Obfervation
made at Greenwich, almoft at the very fame moment.
* At London.
t Accordirg to Dr. liaoICi Obfervation it was 3' to the Eaft.
O O O Q
As
As for the Comet oY the year i68a, which came almoft to the Sun itfelf, being
in its Perihelion, not above one third of the Sun's Semidiameter diftance from the
furface of it, as the Parameter of its Orb is fo very fmall, it could hardly be con-
tained within the limits of the general Table, becaufe of the exceflive velocity of
the mean Motion. Wherefore, in this Comet, the beft way will be, after the mean
Motion is found, to"get from thence, by the help of the foregoing Equation x^ -}~ 3 ^
= Y^ of the mean Motion, the Tangent of half the Angle from the Perihelion, to-
gether with the Log. for the diftance from the Sun. Which being found, we are to
proceed by the fame Rules as in the preceding.
After this manner therefore, the Aftronomical Reader may examine thefe Num-
bers, which I have calculated with all imaginable care, from the Obfervations I
could colleft. And I have not thought fit to make them public before they have
been by myfelf duly examined, and made as accurate as 'twas poffible, but at the
expence of the labour of many years.
Now it may be proper to inform the Reader, that our five Comets, firft menti-
oned in the Table, whereof the third and fourth was obferved by Peter Apian, the
fifth by PaiiksFabricius, as alfo the tenth feen by Michael Mce(ilin in the year 1596,
are not fo certain as the reft ; for the Obfervations were made neither with fufficient
Inftruments, nor due care, and on that account are difagreeing with themfelves, and
can by no means be reconciled with a regular computus. The Comet which ap-
peared in the year 1684 was only taken notice of by Blanchinus, who obferved it at
Rome : And the laft which appeared in the year 1698, was feen only by the Pari-
fian Obfervers, who determined its courfe in a very uncommon manner. This Co-
met was a very obfcure one, and altho' it moved fwift, and came near enough to
our Earth ; yet we, who are not wont to be incurious in thefe matters, faw nothing
of it. For want of Obfervations I have alfo left out of the foregoing Catalogue»
thofe two remarkable Comets which have happened in this our age, one in Novem-
ber 1689, the other in February 1702. For they direding their courfes towards the
fouthern parts of the World, and being fcarce confpicuous any where in Europe,
met with no Obfervers proper for this purpofe.
By comparing together the Elements of the motions of thefe Comets, 'tis apparent
their Orbits are difpofed in no manner of order ; nor can they, as the Planets are,
be comprehended within a Zodiac, moving indifferently every way, as well retro-
grade as dired: ; from whence it is clear, they are not carried about, or moved in a
vortical fyftem. Moreover the diftances in their Perihelia are fometimes greater,
fometimes lefs ; which makes me fufped there may be a far greater number of them,
which may move in Regions more remote from the Sun ; and being therefore very
©bfcure, and without tails, may pafs by us unfeen.
Hitherto I have confidered the Orbits of Comets as exadly parabolical 5 upon
which fuppofition it would follow, that Comets, being impelled towards the
Sun by a centripetal force, would defcend as from fpaces infinitely diftant 5
and by their falling acquire fuch a velocity, as that they may again fly off
into
0 0 o o a
into the remoteH: parts of the Univerfe, moving upwards with a perpetual tendency,
fo as never to return again to the Sun. But lince Comets appear frequently enough,
and as none of them are found to move with an Hyperbolic Motion, or a motion
fwifter than they might acquire by their gravity towards the Sun, it is highly proba-
ble they rather revolve about the Sun in very excentric elliptic Orbits, and make
their returns after long periods of time : For fo their numbers will be determinate,
and, perhaps, not fo very great. Befides, the fpace between the Sun and fixed
Stars is fo immenfe, that there is room enough for a Comet to revolve, tho' the pe-
riod of its revolution be vaftly long. Now the Parameter of an Ellipfis, is to the Pa-
rameter of a Parabola having the fame Perihelion diftance, as the Aphelion diftance
in the Ellipfis, is to the tranfverfe Axis in the EUipfes : And the velocities are in the
fubduplicate Ratio of the Parameters : Which in very excentric Orbits, the Ratio
comes very near to a Ratio of Equahty : And the very fmall difference which hap-
pens, on account of the greater velocity in the Parabola, is eafily compen fated in de-
termining the fituation of the Orbit. The principal ufe therefore of this Table of the
Elements of their motions, and that which indeed induced me to conftrud it, is,^
that whenever a new Comet fhall appear, we may be able to know, by comparing
together the Elements, whether it be any of thofe which has >appeared before, or
not ; and confequently to determine the Axis of its Orbit, its Period, and to fore-
tel its return.
Of the Motion of Comets in Elliptic Orbits.
SOON after I had compleated the foregoing Table of Elements (vi^hich was
many years ago) I fufpedled, from the like fituation of their Planes and Peri-
helions, that the Comets which appeared in the years 1531, 1607, and 1682,
were one and the fame Comet that had made three Revolutions in its Elliptic Orbit.
But as the difference of their Periods and Inclinations, was feme what too great, to
be reconciled with what I had imagined, and as I judged the Obfervations made by
Apimt and Kepler upon the former ones, were not fufficiently accurate, not to fay
too rude, to determine an affair of fuch fubtilty ; I was content when I publiflied at
firft this Synopfis in the year 1705, to hint at thefe my conjedures, as having fome
degree of probability ; and to advife pofterity carefully to watch for its return about
the expefted year 1758. But afterwards when I had carefully fearched into the
Catalogues of antient Comets, and difcovered that three others had preceded the
aforefaid three, manifeflly in the fame order, and at like intervals of time ('uiz. in
the year 1305 about Eajier, in the year 1380 the month unknown, and lafily in
the month oi June 1456), I began to be much more confirmed in my former opi-
nion: And having obtained a method by which the calculation may be accurately
and eafily managed for any elliptic Orbit however excentric, inftead of the parabo-
lic trajedlory of the Comet of the year 1682, defcribed in the Elements, I attempted
to reduce its pofition in refpedl to the Plane of the Ecliptic and of the Earth mov-
ing in it, unto an Ellipfis of a given magnitude and kind, in whofe Focus the Sun is
placed ; fo that all Mr. Flamjleed'i Obfervations on this Comet, taken with a very
large and very accurate Sextant, and due correftions being made for the Refraftions,
might abundantly confirm my Theory fubjedted to the examination of fo rigid a
computation,
O o o 0 3 Now
Now it is manifeft that two Periods of this Comet are finiflied in 151 years nearly,
and that each alternately, the greater and the lefs, are compleated in about 76 and
y^ years; wherefore taking the mean Period to be y^ years and a half, then (by
Prop. 15. Book I. of the Principia) the femitranfverie Axe of the Comet's Orbit is
to the mean diftance of the Earth from the Sun, as j^'-) ^ that is as 17,8635 to
1. But having found the perihelion diftance moft agreeable to Obfervations to be
0,5825 of thofe parts, the Excentricity of the Orbit becomes 17,2810, whence half
the leffer Axis is 4,5246. I found the Plane of this EUipiis to be inclined to the
Plane of the Ecliptic in an Angle of 17®. 42', and to have its afcending
Node in ^ 20°. 48' ; but that the Perihelion of the Comet, which was retrograde
in this Plane, was in ^ 1°. 36', or 109°, 12' after the afcending Node. And that
the equated time of the Perihelion was September 4^ 2 ii^. 22". Alfo that its mean
diurnal motion was — part of the mean diurnal motion of the Sun, or 0°. o. 47"
75i ^ ^/
as near as can be. And the Radius being i , the length of the Arc o'. 47" that is
0,000227843, is as the diurnal motion of the Comet at the extremity of the leffer
Axis, and has the fariie Ratio to the circumference of a Circle,- as one day has to the
periodic time, and which the elliptic Area daily intercepted between Rays drawn to
the Sun, has to the Area of the whole EUipiis ; which may therefore be very conve-
niently taken for the meafure of the Comet's mean Motion. Therefore its Logarithm
6^357636 added to the Logarithm of the time from the Perihelion, gives the Loga-
rithm of the mean Motion for the given time, or of the Ratio of the Area cut off by
Rays drawn from the Sun to the Comet's place in its Orbit and to the Perihelion, to
the whole Area of the Ellipfis.
But this Area is compounded of two, namely of the Area of a Triangle, whofe Bafe
is the perihelion diftance of the Comet, the altitude being the correfponding ordinate 1
and of the Area of a Segment cut off by a chord drawn from the vertex of the El-
lipfis to the Comet. Which perhaps to fome it will be convenient to explain fully by
a fcheme.
Let C P be the greater Semiaxis of the Comet's elliptic Orbit P B H, C H the leffer
Semiaxis, P A a Circle circumfcribing the Ellipfis, and S the Focus ; whence P S is
the perihelion diftance, and C S the Excentricity of the Orbit. Let the place of the
Comet be in B, from whence draw B D an Ordinate to the Axis, which produced
may meet the Circle in A, draw the right Lines A P, AS; B P, B S ; and in the right
Line C A take C E equal to C S, and draw E G perpendicular to the Axis.
Now it is evident, from the approved Difcoveries of Kepler, that the
Area
O 00 o 4
Area P S A P is to the Area of the whole Circle, and Jikewife P S BP to the Area
of the whole Ellipfis, as the time in which the Comet deicribes the Arc B P to the
periodic Time of its making an intire revolu-
tion in the Ellipfis. But the Area P S A P is
compofed of the circular Segment A PA and
of the Triangle PSA, of which Triangle,
P S X A D, the Sine of the Angle A C P, is
doublej but twice the Segment is the excefs
of the Arc A P above the Sine A D multi-
plied by the Radius CP. Make the Radius
CP=i, and PS:=/^, and any given
Area PA SF = a; and let it be required
to find A D = z the Sine of the Anomaly
of the Excentric A C P. Now zl)is double
the Triangle PSA; and according to the
known Theorem, the circular Arc AP=:z
j^ 1. z^ -\- ^'- z5 -f- TTT 2^ ^<^- whence double the Area of the Segment PA P,
becomes -^ z^ -\- -^h^^ -\- ttt ^^ ^(^- And therefore 2a=:l>z-\--^z^-^^z^
-\- -t- z7 _^ (£?c. Now the Root z of this Equation being extrafted, gives the
Anomaly of the Excentric ACP, and its verfed Sine PD: And if it be made as
CP to CS fo PD to SG, PG = SG-1- PS will be equal to BS the diftance
of the Comet from the Sun. Finally fay as C P is to C H fo is A D to B D, which
will be the Sine of the true Anomaly, or of the Angle P S B to the Radius B S.
But as the method of extracting the Root of this Equation is by no means obvi-
ous, and not generally to be done in every cafe but by trials ; wherefore to lelTen
the trouble of the calculation, I have, according to the principles now laid down,
drawn up the following Table, of the fame form almoft with the general Table for
the parabolic Motion ; by means of which, all the Obfervations made at Gree?iwich
of the Comet of the year 1682 are fitly enough reprefented.
In compoling this Table I made ufe of the artifice which Kepler did in making
his Rudolphine Tables. For by making the Angle of the Anomaly of the Excentric
ACP to be equally increafed \ in the fecond column under the tide of the mean
Motion you have the double of the Area of the mixtilinear fpace PASP, com-
pounded of the difference of the Arc AP and Sine A D into the Radius CP = i,
and of the Reftangle P S x A D taken together ; that is, by taking P S to i in the
Ratio which half the greater Axis 17,8635 has to 0,5825 the perihelion diftance ;
whence P S is 0,0326085, and its Logarithm 8,5 1333 i. The fourth column ex-
hibits the Angle P S B of the true Anomaly from the Perihelion ; and the fixth
the Logarithm of the Ratio which P S has to the diftance S B refpedively. The
other columns give the differences of the former, from whence the proportional
parts are more readily obtained. But this Table will not hold good in EUipfes that
are not fimilar to this of ours.
Then follow the Tables.
PPP
Here follows an example of this calculation. In the year 1682, Auguli ^o^. y\
42" equated time at Greenwich, it was found, by repeated and accurate Obferva-
tions, that the place of the Comet, the Refradlion being fubduded, was in ft 15°.
34'. 42", and its Latitude 17°. 2^'. 56". Now let us fee with what fuccefs our
computation will agree with this.
The time propofed preceded the Perihelion of the Comet 5'^. 1 3^^. 40"", or in de-
cimal parts 5,5694 days. The Logarithm of this number 0,7458 i i added to the
Logarithm of the daily Motion 6,357636 gives the Logarithm of the number
0,00126896 for the mean Motion of the Comet before the Perihelion. In the Ta-
ble I find for 2°. 1 2' of the Anomaly of the Excentric, the mean Motion 0,00126 i 20,
is lefs than that given, by 776 parts of which 11655 increafe the Angle from the Pe-
rihelion 1°. 3 1'. 4", and the Logarithm for the diftance from the Sun, by the differ-
ence 1760: Having added therefore to the Angle 16°. 57'. 55', and to the Logarithm
0,009396, which in the Table correfpond to that mean Motion, the proportional
parts refpedlively, the Angle of the true motion from the Perihelion becomes 17°. 3'.
58", and the Logarithm for the diftance from the Sun 0,009513, the Logarithm of
that diflance becomes 9,774809. To the place of the Perihelion which is in J^ 1°.
36', add 17°. 3'. 58", and it will give the place of the Comet in its Orbit in 55?;5
J 8°. 39'. 58", but reduced to the Ecliptic iJvi 18°. 33'. 36", with the heliocentric
Latitude 17°. 41'. 14" North; whence the Logarithm of the curtate diflance is
9,753779. At the fame time the Sun was in TtJ) 17°. 20'. 54", and the Log. of his-
diflance from the Earth 0,002395. From thefe things given it follows that the geo-
centric place of the Comet was in Libra 15°. 35'. 58", and its Latitude 17°. 24',
1 1", erring in the Longitude i'. 16", but in the Latitude only o'. 45".
By comparing in this manner the Theory now explained with all the Obfervations
of Mr. Flamfteed, I have found that the Heavens agreed with this elliptic Motion,
the differences not deferving notice, as appears from the Table annexed.
168
2
Comeths Long.
Lat. N.
Comet's Long.
Lat. N.
Differ.
Differ.
App. Time.
by. Obferv.
Obfervat.
by Compul.
Comput.
Longit. Latit.
d
h m
0 , „
0 , „
, „
0 . „
/ // / //
Jug. 19
16 38
SI 18 15 5
25 49 19
a 18 14 19
^5 48 33
—
0 46 — 0 46^
20
15 38
24 47 55
26 II 50
24 48 5
26 II 40
+
0 10
— 0 10
2 I
8 21
29 37 5^
26 15 15
29 39 3
26 18 3
+
I 12
-!- 2 48:
21
16 19
«K 1 58 0
"^ I 58 23
+
0 23
22
8 8
6 30 8
26 4 35
6 32 10
26 6 37
+
2 2j4- 2 2-
29
8 20
^ 12 35 s5
18 37 27
--= 12 38 19
18 35 3
+
2 24 2 24
30
7 45
15 3-4 42
17 24 56
15 35 5^
17 24 II
+
I 16- 0 45
^«^.31
8 2.
18' 16 20
18 17 30
+
&pt. I
7 33,
20 28 12
15 u 37
20 29 3;
15 II 23j-h
J 19— 0 14
4
7 22
25 Z9 36
12 22 29
25 39 34
12 22 42 —
0 2-1- 0 13
5
7 32
26 58 20
.1 3. 26
26 57 45
II 33 34 —
0 35+ 2 8
8
7 16
— 29 56 0
9 25 31
^ 29 54 40
9 26 26 —
I 20-}- 0 55
9
7 26
"1 0 41 36
8 49 2
"l 0 39 39
8 49 0
1 —
I 57
i- ° ^
Pppp4
Neither did I think it at all neceffary to beftow any more trouble en the confT-
deration of the Orbit of this Comet, fince the differences we find are not wholly to
be attributed to the errors of our numbers, but partly to the Obfervations them-
felves, partly to the fuppofed places of the fixed Stars v/hich are not abfolutely per-
fed, more efpeeially on account of the different refradlions of the air near the Hori-
zon, by which the Comet was affedled all the time of its appearing, it being feldom
feen above 12 degrees high. Befides thefe differences are not at all greater than what
we ufually find in the Theory of the primary Planets, cultivated by the Aftronomers
for ib many ages. 1 wifh we could reduce the motions of Jupiter and Saturn
within as narrow limits.
Now having eflablifhed therefore this Orbit, let us examine the path of the Co-
met which Kepler and Longomontanus fay they obferved in the year 1607 ; they were
certainly great Aftronomers, but their defcription is too lax, and not fufiiciently
adapted to our examination. Their Obfervations, fuch as they have left us, you
have as follows.
In the year 1607, Sept. 16, Old Stile, Kepler being at Prague {^iVf this Comet
the firft time about nine o'clock, or eight at London, under the great Bear, and as
well as he could judge by its fituatlon in refpedl to fome remote fixed Stars, its place
was in Leo 1 B°. 30', with 35°^ North Latitude. At three the next morning, its di-
ftance from the hinder knee of the Bear (i]/ by Bayer) was a little lefs than the di-
ftance of the two in the nearer foot (x & jt« of the Bear), and by the eye in a track
nearly parallel, as it were to a line drawn from the Bear's knee to the fingle Star
in the neck (u of Bayer). Then correding the places of the Stars (^which, I know
not by what chance, are very erroneoufly defcribed in 'Tycho'z Table), the place of
the Comet was in Leo 21°. 49', Lat. 36°. 12' N. when the equated time at Lo7ido7i
was 13^ 51™.
September 18'*. ^^. 30'" oX. Prague, and j^. 20" equated time at London. The
Comet was feen to be below the little unformed Star near the great unformed Star
betiaeen the tails of the Bear and the Lion, which then was in 1 2°. 1 8' of Virgo witli
40°. 33'^ Lat. from whence it was diftant by a Diameter of the Moon, in a right
line running thro' the laft in the Bear's tail, and thro' the hand of Bootes. Thefe
Obfervations place the Comet in Ttg 12°. 2', with a Latitude of 40"; fince a diftance
as eftimated by the eye equal to the Moon's Diameter, muft be at leaft 40 minutes,
Kt Copenhagen, Sept. 21^. 7". 30", that is at 6*". 30"" equated time at London,
Longomontanus, by a Sextant of five Cubits Radius, as he fays, found the Comet to be-
30°. 59' diftant from the middle of the great Bear's tail, and about the fame time
16°. 45' from the bright Star in the Crown, by repeated Obfervations. Hence, the
places of the fixed Star being adjufted by the Britifh Catalogue, the Longitude of the
Comet comes to be "^ 16-. 48', and its Latitude 37". 12' North. About the fame
time Kepler, in company with a young Pupil, obferved the Comet to be 6°. 5' di-
ftance from ArBurus, in a right line running from ArBurus to the preceding Ihoul-
der of Bootes [y hy Bayer)., Whence the place of the Comet was at leaft in 37"»
o' of Libra^
Q^q; q q Septem-
Beptemher 25. An hour after Sunfet, that is, at Prague 6^. 48" 2X London 5'\ 36"'
equated time. The Comet was feen a little higher in a right line drawn from Arc-
turus to the bright Star in the Serpent's neck (a.) diftant from it 4°. 30'. But two
hours after Sun fet, or j^. 37™ at Pi-ague, it plainly appeared to be above a line
drawn from the bottom of the Serpent's neck {^) to that in the flretching out of
its neck (0). The firft Obfervation places the Comet TFj, 12°. o ; but the other at
the fecond hour, about 12°. 30' in Scorpio,
September 27. The Comet came into a right line drawn from the fecond Star in
the neck of the Serpe?it (<?) to the bright Star in the neck, ftanding under that Star
(e) which follows the bright one, at the diftance of the Moon's Diameter or a little
more ; and a right line drawn from the Comet thro' that Star in its neighbourhood,
fell in the middle between the bright Star in the Crown and the fhoulder of Hercules
(iG). Which denotes that the Comet was in Tfj, 18°. 50' with 23°. 20' North Lat.
Kepler mentions not the hour, but it feems that the Obfervation was not made foon
in the night, becaufe he faw the lefTer Stars. Suppofe it to be at 6'\ 30*" at London
equated time.
OBober \^. 6''|-. At Malmoge, in Scania, Longomontanus faw the Comet at a
little lefs than half a degree diftant from the northern hand of Serpentarius ; and it
was then in a right line with ArSiurm and the foutherly Star in the fame hand :
About the fame time, Kepler fays, it was a little lower than the right line joining
the two Stars of the hand, and diftant from the neareft of them about a third part of
their diftance. Both thefe Obfervers, I know not how it happened, are wrong in
their deducing the place of the Comet from their own Obfervations ; one of them
makes it to be in TI|, 25°. 51', with 17°. 35' Latitude; the other in Tfj, 26°. 30'
with 17". 40' Latitude; a great difference, tho' they both nearly agree in the efti-
mate they give us of the diftance and fituation of the Comet. If, inftead of the
Diameter of the Moon, we put 40' (as it commonly feems to be by a naked eye),
and fuppofe the Comet in a right line with the Stars of the hand, it would be 23'
more northerly than the neareft, and 34 min. more wefterly ; that is in Tl|, 26°.
16' with 17°. 40' North Latitude, But by the confent of both of them it was
fenfibly before this right line, and therefore nearly in Hi 26°. o' ; which accurately
enough brings the Comet into a right line joining Arcyturus and the Star in the
Southern hand, as it was obferved by Longomontanus.
Ouioher 2. Both thefe Obfervers in the foregoing places denoted the Comet's
place in refped: to the aforefaid Stars in the hand. Longomontanus at a quarter paft
fix faw it in the Vertex of an obtufe Ifofceles Triangle with the (aid Stars,
yet it rather inclined to the North of them. But it was in a right line, as it
appeared by a ftretched thread, with the laft but one on the fide of the Crown (b)
and the northern one in the hand ; alfo in another right line with the fouthern one
in the hand, and the loweft one in the head of Scorpio (I fufped: Capricorn). Kepler
about the fame time (for he mentions not the hour) faw the Comet in the middle
between the two Stars of the hand, but below a right line joining them, and a
little higher than a right line drawn from the loweft of them to the next
tend
Q^q q q 2
bend of the Serpent (f^ of the Serpent by Bayer). All things confidered, . the place
of the Comet was in Vi[ 27°. 5', with 16°. 40' North Latitude, and 5*". la""
equated time at London.
OBober ^^. 8"^. 30"". At Fragile^ Kepler with a fmall inftrument formerly T^y-
cho's, obferved the diftance of the Comet from the knee oWphiucus (vi) to be 14°.
14^ and from the preceding fhoulder of Hercules (fi) 28°. 56'. Hence the Comet
was in TI[ 29°. 47', with 14°. 2''- North Latitude.
OBober t^. At the fame hour it was diftant from the knee of Ophiucus 13°. 22'
■and from the fhoulder of Hercules 29°. 27'. Whence its Longitude was / 0°. 33'],
and its Latitude 13°. 36'^-
GSiober (f. 8''. Thefe diftances were 11°. 22'; and 31°. 19'; and therefore the
place of the Comet was in / 2°. 1' with 1 1°. 56' North Latitude.
OBober 12"^. 6''. 31"". At Copenhagen, by the agreement of both Obfervers, the
place of the Comet was in / 1°. 50', and 9°. 45' North Lat. But as this was con-
cluded by the extenfion of threads over remote Stars only, which method of Ob-
fervation is hardly to be depended on in fmall diftances, I would not from hence de-
termine that the apparent motion of the Comet was already become retrograde.
OBober \6^. 6^. 15"". At Prague, Kepler (zw this Comet for the laft time, and
that only now and then between the Clouds : It was, fays he, very low in a verti-
cal Circle which was about the Semidiameter of the Moon more wefterly than the
fame knee {^J of Ophiucus, and nearly four times as much below the knee, but cer-
tainly more than three times, as the diftance of the two Stars in the hand feem to be
afunder. Concerning this Obfervation fee Longomontanus, where he blames Kepler
for want of due care, in deprefling the Comet to (){"■ of Latitude, whereas from
the faid fituation of it he computes that it could have no lefs Longitude than / 2°.
10', nor lefs Latitude than 8°.
Thefe Obfervations I have taken from a little book of Keplers on Comets, pub-
liihed in the year 1619 at Augfburg; and from an Appendix of T)aniJ]d Aftronomy
hj Longomontanus; and (tho' I wifh thefe Obfervations had been made with more
accuracy, efpecially towards the end of its appearance) they indeed do indifferently
point out the path of this Comet j however they fufficiently prove that it was one and
the fame Comet with that of the year 1682, by the very fame argument that we are
aftiired that Mars, after he has been for fome time hid under the rays of the Sun, is
the fame Planet as before.
-For both Comets were retrograde, and the fame kind of Orbit is common to
both, and the motion of their Nodes and Perihelions is found fcarcely to differ
more than the Orbits of the fuperior Planets are found to do after tlie like number
of years. But as between the years 153 i and 1607 there are 76 years, I have
made the Semiaxis a little greater, viz. fo that it is to the mean diftance
of the Sun as ^gj^ or as 17,9422 to i ; and I have increafed its perihelion
diftance proportionally, Obfervations requiring the fame, fo that it may
be 0,58507, the Logarithm, of which is 9,767270. Now it had its afcending
Node
Q^q"q q 3;
Node in ^ 17. 48'. 40", with the indination of its Plane to the Ecliptic 17°. 20';
but its Perihelion in ^ 1°, 3'. 40"; and the equated time of its Perihelion OSiober
ib^. ai*". 44" at London. Alfo its mean diurnal motion is made the feventy fixth
part of the Sun's diurnal motion, or 0,000226344, the Logarithm whereof is
6,354769-
Thefe Elements laid down, I have, by the very fame method of calculation as in
the former, compared the Obfervations made on this Comet, fuch as they are,
with the numbers of my Table ; and tho' too great a diverfity may be found in fome
of the latter, yet the candid Reader will readily perceive that it is chiefly owing to
the difagreement of the Obfervations among themfelves.
MDCVII.
Com. Long.
Lat. North
Com. Long.
La/. iV(?r/-&
Differ.
Differ.
Equal.
Time.
Objerv.
Obfervat.
Comput.
Comput.
hong.
Latit.
d
h m
0 , n
0 , „
0 , ,^
0 / „
, „
/ //
Sept. 1 6
13 51
a 2 1 49 0
36 12 0
■5121 55 56
36 20 4
+
6 56
+ 8 4
18
7 20
"E 12 2 0
40 0 0
«R 12 3 15
39 50 0
+
I 15
— 10 0
21
6 30
=== 16 48 0
31 12 0
^16 45 13
37 II 2
—
2 47
— 0 58
25
5 3^
"ll2 12 0
in 12 8 47
—
3 13
27
6 30
18 50 0
23 20 0
18 44 40
2.3 16 0
—
5 20
— 40
0£f. I
5 25
26 0 0
17 40 0
25 58 40
17 45 46
—
I 20
+ 5 46
2
5 '2
27 5 0
16 40 0 27 7 12
,6 44 0
+
2 12
+ 40
5
7 15
"1 29 47 0
14 2 20TT129 39 25
14 5 35
—
7 35
+ 3 15
6
7 ^5
i 0 33 30
13 36 20
jt 0 14 0
13 22 55
—
'9 30
— 13 35
9
645
2 0 50
11 56 0
I 25 7
II 33 48
~
34 43
- 22 12
12
5 25
I 50 0
9 45 0
2 X 17
10 4 36
+
II 17
+ 19 36
16
5 0
4f 2 10 0
800
/ 2 14 32
8 24 10 +
4 32
+ 24 10
Here it falls in our way to obferve by the bye, that the Nodes of this Comet pre-
ceded the Nodes of the Comet of 1682 three degrees, their motion being progreffive
according to the order of the Signs ; whilft its PeriheHon advanced only 32'. 20". But
in this fpace of years the praeceffion of the ^Equinoxes is 1°. 2'. 30"} therefore in
refpedt of the fixed Stars, the Aphelion went backward half a degree, the Nodes in
the mean time going forward 1°. z,y'. Whereas in the Planets the Aphelia go forward
and the Nodes go backward, becaufe of the centripetal forces of the heavenly bodies,
manifeftly mixing themfelves with the forces of the Sun, and difturbing them,
which other wife would be found to be moft accurately as the fquare Root of their
diftances from his Centre ; from whence all bodies revolving round that Centre, in
quiefcent and immoveable Planes, would defcribe elliptic Orbits always returning into
themfelves. By Prop. 14. Book III. of the Principia. But this Comet is retro-
grade, whence by the fame caufes its Aphelion muft go backwards and its Node
forwards in an immoveable Heaven, by the fame caufes I fay, which make the
Nodes of the Planets go backward and their Aphelia forward.
CLqqq4
Perhaps
Perhaps fome may objeft the diversity of their Inclinations and periods, which is
greater than what is obferved in the revolutions of the fame Planet ; feeing one pe-
riod exceeded the other by more than the fpace of one year, and the inclination of
the Comet of the year 1682 exceeded that of the year 1607 by twenty two intire
minutes. But let it be conlidered what I mentioned at the end of the Tables of
Saturn^ where it was proved that one period of that Planet is fometimes longer than
another by thirteen days ; and that is evidently occafioned by the force of gravity
tending towards the Center of Jupiter, which force indeed in equal diftances is
only the thoufandth part of that force tending to the Sun itfelf, by which the Pla-
nets are retained in their Orbits. But by a more accurate computation, the force of
Jupiter towards Saturn, for example, in the great conjundion as they call it, Ja-
nuary 26 in the year 1683, was found to be to the force of the Sun upon the fame
Saturn, as i to 186; the fum of the forces therefore is to the force of the Sun, as
187 to 186. But at the fame diftance from the Center, the periodic Times of Bo-
dies revolving in a Circle are in the fubduplicate Ratio of the forces with which they
are urged: Wherefore the gravity being increafed by the 186''' part of itfelf, the
periodic Time will be fhortened by about the 374''' part, that is by a whole month
in Saturn. How much more is a Comet liable to thefe errors, which makes its ex-
curfion near four times higher than Saturn ; and whofe velocity being increafed by
lefs than the 120th part of itfelf, would change its elliptic Orbit into a parabolip
Trajeftory.
But it happened in the fummer of the year 168 1, that the Comet feen in the fol-
lowing year, in its defcent towards the Sun, was in conjundtion with Jupiter m fuch
a manner, and for feveral months fo near him, that during all that time it muft
have been urged likewife towards the Center of Jupiter with near the 50''' part of
that force by which it tended towards the Sun : Whence, according to the theory of
gravity, the Arc of the elliptic Orbit, which it would have defcribed had Jupi-
ter been abfent, muft be bent inwards, towards Jupiter in an hyperboliform wind-
ing, and have affumed a kind of Curve very compounded and as hitherto not to be
managed by the Geometers ; in which the velocity and diredion of the moving
Body, in proportion to the caufe, would be very different from what it otherwife
had in the Eilipfis.
Hence a reafon may be'affigned for the change of its inclination : For as the Co-
met in this part of its path had Jupiter on the North almoft in a perpendicular di-
redion to its path, that portion of its Orbit muft be bent towards that quarter; and
therefore its Tangent being inclined in a greater Angle towards the Plane
of the Ecliptic, the Angle of the inclination of the Plane itfelf muft be ne-
ceflarily increafed, Befides the Comet continuing long in the neighbourhood
of Jupiter, after it had come towards him from parts much more remote from
the Sun with a flower motion, and now being urged with the joint central
forces of both, muft have acquired more accelerated velocity, than it could
lofe in its recefs from Jupiter, by forces ading a contrary way, its motion
being more fwift, and the time being lefs : Whence the proper velocity of the Comet
being
Rrr r
being increafcd by this excefs, it is probable that its return will not be untill after the
period of 76 years or more, about the end of the year 1758, or the beginning of
the next. But having touched upon thefe things, I fhall leave them to be difcuffed
by the care of pofterity, after the truth is found out by the event.
That the Comet of the year 1531, obferved by Apian, w^as the fame with this
now defcribed, appears from its period, its retrograde motion between the Sun and
the Earth, the fituation of the Perihelion and Nodes, and its inclination, none
whereof differ much from the former : Notwithftanding if any one would under-
take accurately to define all of thefe, he would labour in vain, becaufe the Obferva-
tionsare fo very imperfed:, being taken with a fmall inftrument for Azimuths in a
grofs manner, and were only defigned to fhew the afcent of the Comet's tail towards
the parts oppofite to the Sun.
Yet left any one fhould complain that any thing relating to this affair is omitted
by us, I have confulted ApiarC% book called Aftrommicon Cccfareum, dedicated to
the Emperor Charles V. after with difficulty I had found it ; and 1 have made the
following extraft from it, no where elfe publiflied.
In the year 1531, at Ingoljiadt on the Danube (in the Latitude 48°. 40'. and
Longitude 11° ti o^^ 4^ xmn. of time to the Eaft oi London), Aug. 13 in the evening
Apian firft faw the Comet to the North Weft : And the bright Star ArBurus being
full Weft, or in the prime Vertical, as they fay, the Comet was 7°, 56' high,
and 49°. 26' from the Weft northerly. On the next night, Aug. 14, after one re-
volution of the Heavens, the Comet was 8°. 29' high, being now 45°. 22' north-
wards. Aug. 1 5, in the fame fituation of the Heavens, the Comet was 9° high,
and 41°. 22' northerly. Aug. 16, it was 9°. 43' high, and only 35°. 13' north-
erly. Aug. ij, it was in the Azimuth of 30°. 46' from the Weft and 10°. 14' high.
Aug. 18, it was 10°. 39' high, and 24°. 42' from the Weft. Afterwards it was
for three nights under clouds; and Aug. 22, in the fame fituation of the ftarry
fphere, the Comet was 11". 25' high, and 7°. 34' from the Weft northerly. Laftly,
Aug. 23, ArBurm being Weft, the Comet was more northerly only 3°. 50', and
11°. 25' high.
But the Obferver fuppofes, according to the Aflxonomy of his own age, that Arc-
turus was then in ^ 16°. 59', with 31°. 30' North Latitude erroneoully, inftead
of ti^ 17°. 41', and Latitude 30°. Sj\ as is evident from more certain Obfervations.
This being fjbftituted for the other, the right afcenfion of the Mid-heaven when
ArBurus was in the Weft at Ingolftadt will be 278°. 10'. Hence the Altitudes, due
allov/ances being made for the Refradlions, by a calculation more accurate than need?,
the places of the Comet will come out as follows.
R r r r 2 MDXXXI.
MDXXXI.
Comet's
Comet's
Comet's Long.
Z:^/. iVor//
Longit.
I«/.N.
Igoldfi. App.time
Rt. Afcen.
Dec!. Nor.
by Obfervat.
Obfervat.
Apian.
<5}'Apian
d h m
0 , „
0 ; „
0 , „
0 , „
» .
Aug. 13 8 26
151 45 45
36 49 25
a 20 16 0
23 30 10
a 19 15
23 15
14 8 22
156 17 20
35 3 50
24 41 30
23 18 45
23 39
23 2
15 8 19
160 32 50
33 " 50
a 29 I 0
23 I 30
24 29
22 0
16 8 15
166 43 20
30 4 3"^
'^ 5 36 15
22 21 40
'^ 4 32
22 I
17 8 II
170 58 40
27 42 25
10 19 40
21 47 0
9 H
21 25
18 8 7
176 19 30
24 8 50
"R 16 37 0
20 36 15
m 15 3020 12
22 7 54
190 6 30
13 27 10
- 3 49 0
16 20 40
■i I 23
16 32
23 7 50
192 53 30I
II I 20
^ 7 25 30
15 13 40
a 51
14 31
If we compare thefe places one with another, we fliall foon fee that the difagrec-
ment is very great, without doubt owing to the badnefs of the inftrument with
which they were taken. But in deducing the places from the third and two laft
Obfervations, a very grievous error is committed by Apian himfelf However altho'
nothing of certainty or accuracy can be drawn from fuch uncertain data, yet they
are very fufficient to {hew that this Gomet had its path extremely like that of 1682,
and if we add three degrees to its Latitude, almofl the fame.
It would be to no purpofe to compare our numbers with thefe ; lince it is utterly
impoffible that by any regular computation things fhould be reconciled that are fo
irregular and repugnant among themfelves. But if the periodic Time be made to
confift of 75 years, and fo the greater Semiaxis of the Ellipfis be 17,7845 ; the peri-
helion diftance will be 0,57993 ; the afcending Node in ^ 15°. 30' ; the inclina-
tion 17°. 00', and the Perihelion in 5;^^ 1°. 12'. But the time of the Perihelion, in
the year 153 1, was jiugujl 25^ ig"". oo'"; and the mean diurnal motion the feventy
fifth part of the Sun's diurnal motion, or 0,000229362 whofe Log. is 6,360522;
we may, by means of the faid Table, compute the motion of this Comet, and we
fhall for the moft part find them more agreeable to the Obfervations, than the Ob-
fervations are among themfelves.
You fee therefore an agreement of all the Elements in thefe three, which would
be next to a miracle if they were three different Comets ; or if it was not the ap-
proach of the fame Comet towards the Sun and Earth, in three different revoluti-
ons in an Ellipfis around them. Wherefore if according to what we have already
faid it (hould return again about the year 1758, candid pofterity will not refufe to
acknowledge that this was firft difcovered by an Englifiman.
And this Comet is as it were the Mercury of the Comets, furrounding the Sun
with a leffer Orbit, and fhorter periodic Time, while all the refi: expatiate
more widely, and after very long and more than fecular revolutions, nay of
many ages duration, offer themfelves to the fight of Men for but a little fpace
of time, to wit, only while being in the neighbourhood of the Sun, they fhine
with
Sfff
with a flronger light, and exhibit fenfible tails, which is nothing but very rarified
vapours raifed from the matter of the Comet agitated by the force of heat, and
thrown upwards with great velocity into the ^ther which is almoft a vacuum.
But concerning this phyfical affair, hear what the moft celebrated NEWTON ikys,
in his demonftrative manner, towards the end of the third book of the Trmcipia.
Hence it comes to pafs, that we have not the fame evidence that any other Co-
mets have returned, as we have in this of ours of the year 1682. But it any argu-
ment may be drawn from the equality of periods, and from fimilar phenomena,
that wonderful Comet which appeared in the year 1680, was one and the fame
with that of 1106, when Henry \. was King oi Engla?2d, it firft emerged out of
the Sun's rays " on Friday, February 16, in the evening, and was feenforalong
" time afterwards every evening. The Star, which feemed little and obfcure, ap-
" peared in the South-eaft. But the Ray which proceeded from it was very clear
" and large, fliining towards the North-eaft," as we have it recorded in the Saxon
Chronicle by one who feems to have been an eye-witnefs. Now this defcription
agrees very well with that of the Comet of the year 1680, both in refpedt to the
length of its tail, and alfo its fituation in regard to the Sun.
Alfo in the confulate of Lampadius and Orejies in the year of Chriji 53 1, when
Jufiinian was Emperor, another Comet, like this, appeared in the evening, of
which Malela, the Author of the Antiochian Chronicle, perhaps an cye-witnefs alfo,
writes thus, " A great and fearful Star appeared in the Weft, emitting a white beam
" upwards, which as it appeared like the flafhes of lightning, fome called itLampadian:
*' It was feen for twenty days." I could have wifhed indeed the Hiftorian had told
us the time of the year this happened. However it is manifeft that the interval of
years between this and that feen in the year 1106, is nearly equal to that between the
years 1 1 06 and 1 68 1, that is to fay about ^y^ years.
And if we reckon backward fuch another period, we fhall come to the forty fourth
year before Chriji, when, foon after the death of Julius Cafar, a very remark-
able Comet appeared, mentioned by almoft all the Hiftorians of thofe times,
and by Pliny in his Natural Hijlory, Lib. II. c. 24, where we have the words
of Augujius Ccefar himfelf concerning it : By means whereof we are led to the
very time and fituation of this phenomenon in the Heavens ; wherefore it will
not be amifs to recite them. " In the very days of my games, a hairy Star
" (Sydus crinitum) was feen for feven days, in that part of the Heavens which
" is under the Septentriones, it arofe about the eleventh hour of the day, and
" was clearly to be feen all over the World." Now Augujius dedicated thefe his
games to Venus genitrix (for xht Ccefars boafted that they defcended from the
Goddefs Venus), and they began on his birth-day, that is on the 23d of
September, and continued for feven days, as we may learn from a fragment
of an old Roman Calendar in p. 135, of Grutery the new edition. Now Cafar
fays
Sfff2
fays the Comet was feen all thefe feven days, but that docs not imply that it was
not feen before and after thofe days. And when he fays the Comet was (ecn under
the Septentriones, he is not to be underftood that it was feen in the North under the
Pole, but under the feptem Triones, that is below the bright Stars of the Great Bear.
And that it could be rifen at the eleventh hour of the day can by no means be
conceived ; wherefore inftead of the word day it (hould be read night, or that word
(hould be omitted as it is in Suetojiius : For the Sun being then near the autumnal
Equinox, the eleventh hour at Rome, at which the Comet is faid to rife, begun at
four in the morning according to our reckoning ; fo that it was judged to rife be-
tween four and five o'clock, or about an hour and half before Sun rife : So that it
preceded the Sun about twenty degrees, which muft be underftood about the firft
beginning of its appearance, or at leaft of the feven days mentioned. But at the
time it flione under Charles's Wain, it rofe much fooner, and had a confiderable
northern Latitude, by its retrograde motion from the Sign Virgo to the fide of Can-
cer ; that is, having travelled thro' the intermediate fpace between Leo and the Bear,
Now if we rcfume the fituation of the Comet's Orbit of the year 1680, in refpedt
of the fixed Stars, and fuppofe its Perihelion for the forty fourth year before Chrift, to
be about the iS'** day oi September ; a computation being any how made, it will
prefently appear, that the courfe of the Comet in its afcent from the Sun, where it
projefted its tail, and 'was a bright Star and confpicuous all over the World, fuffici-
ently agrees with the courfe of this defcribed by Augufius Cafar. It is not therefore
unwarrantable to believe that this Comet feen by Cafar, having finifhed three revo-
lutions, again appeared in the year 1680 ; efpecially when the like Comets have
appeared at equal intervals, viz. in the year of Chrijl 53 i and 1 106.
Let us fuppofe then that its period is about ^j^ years. Therefore half the
greater Axis of the Ellipfis will be "Jj^^y ox 69, 14785 of fuch parts as the mean di-
fiance of the Earth from the Sun is unity. But the perihelion diftance in fuch
parts will be 0,006175, very agreeable to what we find it to be by Obfervations,
and therefore the conjugate Semiaxis of the Orbit will be 0,92410; or fuppofing.
the greater Semiaxis = i, the perihelion diftance will be 0,000089301 whefe Lo-
garithm is 5,950858, and its leffer Semiaxis 0,0133641 whofe Logarithm is
8,125939 : Thefe foundations being laid, I have made the following Table, of the
fame^form almoft with the preceding : But as this Comet, on account of it^ vicinity
to the Sun, could not be feen until the fourth day after the Perihelion, the Table
begins at the fifth degree of the excentric Anomaly : Alfo the Angles are reckoned
from the Aphelion, and the Logarithms are thofe of the Ratio's of the true diftances
of the Comet from the Sun, to the mean diftance of the Sun from the Earth. More-
over I have computed in Decimals of a degree in the former part, that there might
not be occafioa for fecond differences in the interpolation.
Then follows the Table-,
Sfff3 M
As to the pofition of the far extended Plaae of this elliptic Orbit, I reta in the
fame Nodes as in the parabolic Trajedlory above defcribed, namely 2°. 2' of Capri-
corn ^nd. Cancer, with the inclination of 61°. 6'. 48" to the Plane of the Ecliptic.
But the Perihelion of the Comet, which moves in this Plane according to the order
of the Signs, falls in / 22°. 44'. 25", and therefore the Aphelion is in Jf 22°. 44'.
2 5", or 9°. 1 7'. 3 5" before the defcending Node : I make the equated time of the
Perihelion to h& December j^. 23''. 9"^ at London ; njiz. in the year 1680. As to its
inean diurnal motion it becomes ~y °f ^^^ Sun's diurnal motion, that is
0,0000299167 whofe Logarithm is 5,475914, to which if there be added the Lo-
garithm of the time before or after the Perihelion, we {hall foon have the mean mo-
tion for any given moment.
Perhaps it may not be amifs to annex an example of this calculation. In the year
1680, JSIovember 2,, 16''. 47" equated time reduced to the Meridian oi London,
Gottfried Kirch, at Coburg in Saxony, obferved the Comet in its defcent towards the
Sun, when it was as yet deflitute of any tail, and as a little white cloud without a
Nucleus, fcarce to be difcerned by the naked eye, namely when as fortune would
have it, he was viewing thro* a Tejefcope the Moon and Stars which were near
it. He defcribed accurately enough the fituation of this phenomenon among the
neighbouring fmall fixed Stars : Whence, the curious indullry of the Reverend Mr.
Pound alfo helping me, I obtained its place in refpedl to the Ecliptic fufhciently ac-
curate, which was in S). 29°. 51', with 1°. 1 8' North Latitude. But concerning
this Obfervation fee the Philofoph. Tranfadt. N° 342.
Now this Obfervation preceded the time of the Perihelion 34"*. 6''. 22', or in de-
cimals of a day 34,2653. Let the Logarithm of this 1,534854 be added to the
Logarithm of the mean diurnal motion for the given time 7,010768, and we have
0,001025105. I find in the Table this mean motion between 10°. 24' and 10°.
36' of the excentric Anomaly, and by due interpolation the Angle after the Peri-
helion comes to be 8°. 21'. 37", and the Logarithm of the Comet's true diflance
from the Sun is 0,061658. To the place of the Aphelion H 22°. 44'. 25", add
8°. 21'. 37", and we fhall have the place of the Comet in its own Orbit in S 1°.
6'. 2", that is, 0°. ^^'. 58" before the defcending Node : Hence its heliocentric place
reduced to the Ecliptic will be in S 1°. 34'. 58". with q°. 49'. o" North Latitude:
And the Logarithm of the curtate diflance 0,061614. Now the Sun was at that
time in V([ 22°. 44'. 50'', and the Logarithm of his diftance from the Earth 9,994672.
P>om which data^ if a trigonom-etrical computation be made in the manner as ufual
in the Planets, the geocentric place of the Comet will be in £\, 29°. 51'. 22", with
1°. 17'. 32" of North Latitude, jufl as it was obferved.
Indeed this Obfervation of Kerch is a very noble one, not only that it is
prior by 13 days to the Obfervations of all others, but as it is the fole and
only one of many, pubHfhed by foreigners on the Comet as feen in the
morning, to which we may give full belief How much the fagacity of
Newton
Tttt 2
Newton was exercifed in polifhing them and comparmg them one to another, may-
be feen in the third book of his Principia. Which neverthelefs every where are
commonly fo inconfiftent one with another, as not taken with due care or proper
inftruments, that we judge them unworthy of further notice here j as thofe Obferva-
tions, in our opinion, {hould be tried by the calculation, and not the calculation by
them.
But the following Table exhibits a mod exa(fl feries of the m6tions of the Comet
as feen in the evenings, in a great meafure deduced from the Obfervations made
with the aforefaid Sextant at Greemvich, and verified as far as could be by it, ac-
cording to the reformed places of the fixed Stars in the Britijh Catalogue. The laft
two only are Newton's, who very artfully eftimated the motion of the vanifhing Co-
met by the Stars in the foot of Perfeus. And a calculation being accurately made
according to the premifed Elements, produced a congruity abundantly fufficient to
fatisfy the moft fcrupulous Calculator.
MDCLXXX.
Com. Long.
Lat. North
Com. Long.
Z,«/. iV(jr//^
Differ.
Differ.
Equa(. Tims.
Obferv.
Obfervat.
Comput.
Comput.
Long.
Latit.
d h m
0 1 rj
0 , .
0 , >,
0 / y.
, /,
/ «
Nov. 3 i6 47
a 29 51 0
I 18 0
SI 29 51 22
I 17 32
+
0 22
0 28
Dec. 12 4 46
>f 6 32 30
8 28 0
>f 6 31 20
8 29 6
I IC
+
I 6
21 6 37
^ 5 8 ,2
21 42 13
=: 5 6 ,4
21 44 42
—
I 5^
-h
2 29
24 6 18
18 49 23
25 23 5
18 47 30
25 23 35
—
I 53
+
0 30
26 5 21
^28 24 13
27 0 52
^ 28 21 42
27 2 I
—
2 3]
+
I 9
29 8 3
K 13 10 41
28 9 58
X 13 II 14
28 10 38
+
0 33
+
0 40
30 8 104
X 17 38 20
28 II 53
K 17 38 27
28 II 37
+
0 7
—
0 16
Jan. 3 7 50
■y 2 53 0
27 7 48
■r 2 52 42
27 7 48
—
0 18
1681.5 6 li
8 48 53
26 15 7
8 48 5J
26 14 57
—
0 2
—
0 10
9 Z \
18 44 4
24 »» 56
18 43 51
24 12 17
—
0 13
+
0 21
10 6 6
20 40 50
23 43 32
20 40 23
23 43 25
—
0 27
—
0 7
T-Z 1 9
V 25 59 48
22 17 28
IT 26 0 8
22 .6 32
+
0 20
—
0 56
25 159
« 9 35 c
17 56 30
« 9 34 11
17 56 6
—
0 49
—
0 24
20 D 50
10 19 c
17 40 30
10 20 14
17 40 29
+
I 14
Jan. 30 8 22
13 19 51
16 42 18
13 18 28
16 40 5
—
1 23
—
2 13
Feb. 2 6 35
15 13 53
16 4 1
15 II 59
16 2 7
—
I 54
—
I 54
,. 5 7 47
16 59 6
15 27 3
16 59 17
>5 27 0
+
0 II
—
0 3
Mar. I 11 10
« 27 52 40
12 23 40
« 27 51 47
12 22 38
0 53
—
I 2
9 8 38
n 0 43 4
u 45 52
n 0 42 43
II 45 35
—
0 21
—
0 17
Let now the Patrons of Vortices and an abfolute Plenum, try whether ac-
cording to their Hypothefes, they can delineate the path of this Comet, thro'
nine whole Signs and for the fpace of above four months j and whether any other
Curve, or any other law of motion fenfibly different from ours, can exhibit
with the like certainty the peculiar curvature of its path, and its velocities-
fo. very differently increafed and diminifhed. If they cannot do this,,
let
Tttt
let them at laft leave oft" trifling, give themfeives up to the ftudy of truth, and fwear
according to the Motto of our Royal Society, Nullius in verba.
Now this Comet, in that part of its Orbit in which it defcended towards the
Sun, came fo near the paths of all the Planets, that if by chance it had happened to
meet any one of the Planets paffing by, it muft have produced very fenfiblc effecfts,
and the motion of the Comet would have fuffered the greateft difturbance. In fuch
cafe the plane and ^ecies of its Ellipfis and its periodic Time would have been very
much changed, efpecially from meeting with Jupiter. In the late defcent, the true
path of this Comet left the Orbits of ^^^far^ and Jupiter below itfelf a little towards
the South : It approached much nearer to the paths of Venus and Mercury, and much
nearer ftill to that of Mars. But as it was palling thro' the plane of the Ecliptic,
viz. to the fouthem Node, it came fo near the path of the Earth, that had it come
towards the Sun thirty one days later than it did, it had fcarce left our Globe one Se -
midiameter of the Sun towards the North : And without doubt by its centripetal force
(which with the great Newton I fuppofe proportional to the bulk or quantity of mat-
ter in the Comet), it would have produced fome change in the iituation and fpe-
cies of the Earth's Orbit, and in the length of the year. But may the great good
GOD avert a fhock or contact of fuch great Bodies moving with fuch forces (which
however is manifeftly by no means impoffible), left this moft beautiful order of
things be intirely deftroyed and reduced into its antient chaos. But of this by
the bye.
Now as it is more than probable that the reft of the Comets defcribcd in our Ca-
talogue, will return again after having finifhed their periods, whence their periodic
times being given, the Axes, and from thence the fpecies of their elliptic Orbits will
be alfo given ; wherefore that I might render the tedioufnefs of the operofe calcula-
tion as eafy as I could to future Aftronomers, I have added the following Table,
wherein are contained the double Areas of the Segments, the Logarithms of the
right and verfed Sines, with their differences, and the verfed Sines themfeives to
every fifth part of the degrees of the excentric Anomaly. Now if we make the
greater Semiaxis of the Ellipfis to the perihelion diftance, as unity to a fourth pro-
portional number, and if to the Logarithm of this fourth proportional we add the
Logarithms of the right Signs in the Table one by one, or their differences by a con-
tinual addition, we (hall have the double Areas of the Triangles to be added to the
double Segments found in the fecond column, for the mean motions to the excen-
tric Anomalies refpedtively. Afterwards in like manner add the Logarithms of the
verfed fines to the Logarithm of the given Excentricity, and thro' the whole feries
of numbers anfwering to thefe fums, let there be added every where the perihelion
diftance, and the refult will be a Table of the true diftances of the Comet from
the Sun. Finally it will be in every cafe, as the diftance of the Comet from the
Sun, is to the lefler Axis of the Orbit, fo is the Sine of the excentric Anomaly, to
the Sine of the Angle at the Focus of the Ellipfis.
FINIS.
Tttt4
N D E
PAGING hujus Libri numeris non diftinguuntur, ideoque Uteris quibus chartg;
fignatse funt eorutn loco utimur. e. g. B b, paginam primam chartas B b indicat,
B b 2 fecundam.
Be ufu Tabularum
Tabula Longitudinum t? Latiludinum Urbium ^ Locorum ' — ■
Tabula Declinationum punSorum EcUpHde _— —
Tabula Afcenfionum reSiarum punSforum Ecliptics —
Tabula angulorum Ecliptics cum Meridiano • ■
Tabul(B Mquationh temporis • — ■ ■ ■
Tabula ^quationis temporis compojtta
mediorum motuum Solis ^ -prima Stellie Ttis — — — i
Motus Anom, Med. Solis, y apogici, ^ fix arum ad dies menfium
in Annorum cent, £5? in hor, is' min. horariis
Tabula JEquationum Solis • — -
Logarithmi diftantiarum Solis a Terra — - — 1 •
Epochs mediarum conjunSlionum . Luna cum Sole
Revolutiones Luna ad Solem in men/thus anni communis
Motus medii Luna a Sole ad horas ii minuta horaria •
Revolutiones Luna ad Solem in Annorum centuriis ■
Periodi lunares <
Epocha mediorum motuum Luna (j? Apogai ejus, exiftenie terra in
Aphelio — . ■
Epocha motus Nodi afcendentis Luna, exijlente terra in Aphelio
Medii motus Luna, Apogai, ^ Nodi adgradus Anom med. Solis
' ■ ■ ad minuta Anom. med. Solis-
Tabula medii motus Luna, Apogai, isf Nodi ab MquinoSiio in
centuriis annorum anomalifiicorum •
Epocha mediorum motuum Luna G? Apogai ejus Annis Julianis
ineuntibus •■
Epocha motus medii Nodi afcendentis Luna annis Julianis in-
euntibus — '■ — —
Medii motus Luna, Apogai, & Nodi ejus ad dies menfium
■ — ad horas £5? minuta horaria
Tabula medii motus Luna, Apogai, 13 Nodi ejus ah Equina olio
in centuriis annorum Julianorum
Tabula Mquaiionum annuarum Luna, Apogai, <y Nodi
jEquationes Luna minores — - — _
Tabula JEquationum Apogai, Excenlricitalum orbis Luna, & Lo-
garitbmorum pro ^Equatione ceniri
Tabula pro expediendo calculo centri Luna -
Tabula Variationis fiive RefleEiionis Luna
Logarithmi fro ccrretlione Variationis
Tabula pro compulo Latitudinis Luna ■
Tabula Paralkxium Lma korizontalium inSyzygiis
fa) & fcqq.
A a 3 & feq.
Bb
B b 2 & feqq.
CC2
Cc3
Cc4
D d & fcq.
D d 3 & feqq.
Ee 2
Eeg
Ee4
*Ee&,rcqq.
**Ee
* * Ee 2
* * E e 3
**Ee4-
FT &fcq.-
Ff3
F f 4 & fcqq.-.
H h z
Hh3
H h 4 & Hq. ■
I i 2
1 i 3 & Hqq. .
L..1 -■
L 1 2 ,
LI 3 &Tq. .
Mm
M m 2 & fcqqv-'-
N n & feqq.
N n4
ibid.
Og
0 0 2 •
Logar
ithmi-
Logarithmi pro Parallaxi extra Syzygias ■ ■ . • — —
Takda ^quationum Luna in Syzygiis • ■ '
Tabula Lalttudineria Lv.na & R(du5fionis in Syzygiis .
Tahiiln mottmm horariormi, Diametrorum., fe? Parallaxium Solis
y Luna in EcUpfibus — ■ —
Tabula Augmentormn Diametri Luna — — — • — ■
Tabula Refra5!ionim ■ • — —
Epocha mediorum motuura planeta Mercurii ■ •
Medii molui Mercurii ad dies men/mm •
Medii motus Mercurii ab EquinoSiio in Annorum cerituriis >
, , , in horis & minutis horariis
Tabula Mqiiaiionum Mercurii
Logarithmi diftantiarum Mercurii a Sole •
Tabula Latitudinaria Mercurii ^ — -^ —
Tabula conftmiles planeta Veneris
Tabula planeta Martis, —■ ~— — -
Series oppofitiomm Solis & Martis noftra atate faSiarmn cum
computo pracedente collata • —
Tabula planeta Jovis — ' • ■
Series oppofitimum Solis i£ Jovis cum computo collata ^
Tabula planeta Saturni •
Series oppofitionuni Solis £f? Saturni cum computo collata - — -
Monitum » — ■
Oo 2
O03
O04
Oo 5
ibid.
O06
Q,q & feq.
Rr 2
ibid.
R r 3 & feq.
S s & feq.
Ss3
S s 4 & feqq.
X X & feqq.
Z z 4,
A a a & feqq.
C c c 2 & feq.
C c c 4 & feqq.
F f f 2 & feq.
Fff 4.
Tabularum aftronomicarurn pars altera.
■Epocha mediorum motuumquatuor SatelUtum Jovis — ■
Medii motus SatelUtum Jovis ad dies men/mm . •
, , . in amiorum centuriis • — ■ ■
_ „,_, in horis •
~ »■• — ■ in minutis horariis i
Tabula te^jsporis, medio primi Satellitis a Jove motui congnientis
Tabula temporis, mediis SatelUtum 2'", 3'" £s? 4'' motibus a
Jove, congruent is ■ .
Semidurationes Eclipfimn SatelUtum Jovis
Mquationes luminis addenda — —
JEqualionum luminis correSiones ~ — —
■Dijlantia apparentes SalelUlum a centro Jovis, in femidiametris
Jovis & femidiametri centejfimis
Tabula latitudinaria SatelUtum Jovis • — 1
-Viri Reverendi Dni J. Bradley in has fuas SatelUtum tabulas
JLpocha conjun£fionum primi Satellitis cum Jove • — ' —
Revolutiones primi Satellitis Jovis in menfibus — . — -
Prima aquationes conjunifionum primi SatelUtis cum Jove •
Secunda aquationes conjunSlionum primi SatelUtis cum Jove —
Tertia aquationes addenda ■<— — , — '
Semidurationes eclipjium primi SatelUtis Jovis • — — ■
De harum Tabularum conJiruSione — —
Epocha mediorum moluum quinque SatelUtum Saturni — ■
Medii motus SatelUtum Saturni in Annis, (s'c. ■■■■
Tabula latitudinaria SatelUtum Saturni — > . •
De TabuUs SatelUtum Saturni ■ —
Aa aa 3
& feqq.
Bbbb 2
&feqq.
E e ee 2
ibid.
Eeee 3
Eeee 4
Ffff
Ffff 2
&feq.
Ffff4
ibid.
Gggg
Gggg2
Ggggs
&feq.
Hhhh
Hhhh2
&feq.
Hhhh4
& feq.
Hhhh 3
, 2
Hhhh 3,
.3
ibid.
Hhhh 3,
.4
liii
Iiii2&
feqq.
Kkkk2
Kkkks
Synopfts
Synopfis iiJironomU conietic^ .. ■■■ " ■ ■■ —-,..■ „■ , . lAW
Tabula elementorum aftronomicorum motuum comslarum m orhe
M m m m 2
Tabula generalis moimim comelarum in orbe parabolico . M m m m 3 & feqq.
Tabula generalis conftruSlio 13 ufus • N n n n 3 & feqq.
Tabula mollis comet^e annis I ^'^ I, 1607, 13 i6Z2 vift ■ Pppp 2 & feq.
Tabula motus comets annis 1680 £5? 1 68 1 vJji • — — Ssss4& feq.
Tabula generalis fro expediendo calcido motus cometaram in
Ellipfibus 1-— . ' — "-■■ ■ U u u u & feqq.
Tabula farlium diet decimalium — — • U u u u 4
Abacus longitudinum arcuum circular iiim ■ — ibid.
Catalogus fracipuarum fixarum ad annmn 1 720 ineuntem ■ ■ X x x x & feqq.
Tabula Logarithmorum logifticorum ■ — A*^* &c feqq.
Luniie meridiatiie Afcenfiones re5i,s Grenovici obfervatte cum com-
puto noflro collala ■ .■ d b & feqq.
Luna meridiana Longitudines Grenovici obfervata cum computo
nofiro collata ■ — ■ . ■ ([ f 4 & feqq.
REGISTRUM.
*. (a) (b) (c) (d) (e) (f) A a. B b. C c. D d.
E e. * E e. * * E e. F f . G g. H h. I i. K k. LI. Mm.
Nn. Oo. Q_q. Rr. S s. T t. U u. X x. Y y. Z z. A a a.
Bbb. Ccc. Ddd. Eee. Fff. Charta fine litera. Bbbb. Cccc.
D d d d. E e e e. F f f f. G g g g. H h h h. H h h h 3. I i i i.
Kkkk. Llll. Mmmm. Nnnn. Oooo. Pppp. Q^q q q.
R r r r. S s s s. T 1 1 1. U u u u. X x x x. A *^*. B *^* . C *.;^*,
« b. d c. ad. a e. ([ f . tt g. « h. <l '\. u k. <l \. a; m,
d n. CO. dp. d q. dr. Charta fine litera.
Charta O o fex paginas continet, esters omnes quatuor.
V .
Errata.
Errores.
Correftiones.
In Tabulis
Mail 16,
Mediorum Mot. Luna?,
s
0 r
/7
S
0
' /A
1 1
21 59
53
I i
2 I
59 23
In Obfervationum Tabulis,
1723.
Jul. 14.
Lunae tranfitus - - -
19^ 12
22
19
12 30
J725.
Mar. II.
Afcenfio Reda obf. - -
1 1 2 29
57
112
29 0
Sept. 5.
Afcenf. redt. comp. - -
290 59
40
290
57 »
oa 1 1.
Afcenf! re(5t, comp. - -
43 57
48
43
53 53
Nov. 2.
Lunas tranfitus - - _
6*^28
8
6
38 8
Dec. 2.
Lunas tranfitus - - -
2*
6 0
9
1^
6
0 9
J726.
Mar. 30.
Longit. Lunas comp. - -
Si
7 19
9
SI
7
15 51
Aug. 20.
Error Computi _ - -
+ 0
43
—
0 43
1728.
Apr. 2.
Longit. Lunas comp. - -
n
8 48
44
n
8
46 44
J730.
Mali 1 1 .
Longit. Lunse comp. - -
SI
4 2
18
a
3
58 0
Dec. 5.
Lunae tranfitus - - -
5 57
16
5
58 16
173 1-
Sept. 2.
Longit. Lunae comp. - -
^
27 47 45
^
20
47 45
9.
Longit. Lunae obf. - -
n
7 ^i
34
n
6
u 34
1732.
Sept. 21.
Longit. Lunae obf, - -
K
14 14
14 8
18
5£
24
14 18
8 10
K
10
X
24
Nov. 1 5.
Longit, Lunaj comp. - -
H
2S 25
26
K
25
22 26
3733.
Jun. 20.
Lunse tranfitus - - -
15 21
29
^5
51 29
Jul. 7.
Longit. LuncB obf. - -
ib
22 41
53
:2:
23
41 53
Nov. 4.
Error Computi - - -
+ 0
29
— -
0 29
1734.
Jan. 31.
Diftantia D a 0 - - -
8 3
33
3
833
Feb. 27.
Longit. Lunae comp. - -
«
25 50 40
«
26
50 40
Apr. 12.
Lunas tranfitus - - -
16 42
43
16
33 4S
Maii 13.
Longit. Luns comp. = -
-
JS 21
59
^
^S
21 S9
^■^'^^^'§3M§S^m^'.
TABULARUM
^STRONOMIC^RUM
PAPvS PRIOR
MOTUS SOUS LUN^
E T
PLANETARUM QUINQUE
E X H I B E N S.
A a
DIFFERENriM TEMPORIS MERIDIJNI, ET LONGITUDINES
ab Obfervatorio Grenovicenji ; turn etiam LatitiidinesUrbium ^ Locorum
aliquot infignium.
Tiocorura nomlna
Diff. temp.
Longitudinn.
Latitudines.
H. M. S.
0 1 II
30 16 30 Or
36 20 0 Or
38 50 0 Or
7 46 15 Or
23 52 30 Or
0 / //
Alexandrian®^;'/// - - - -
Alexandria ad lS\xm.Alexandretfa.
Ara&a.Racca. - - - - -
Argentoratum. Strajburgh -
Athenae -------
2 I 6
2 25 20
2 35 20
0 31 5
1 35 30
31 7 0 s
36 35 10 S
36 I 0 S
48 34 35 S
38 5 OS
Babylon -------
Babylon, JEgypti. Cairo. - -
Bagdad -
Balafora, apudlnd. orient. - -
Berolinum. ------
2 51 6
2 5 45
2 55- 6
5 44 0
0 53 5^
42 46 30 Or
31 ^6 15 Or
43 46 30 Or
86 0 0 Or
13 27 30 Or
33 0 0 S
30 2 30 s
33 21 0 S
21 20 0 S
52 33 0 S
34 15 0 M
44 30 0 S
34 •^ 5 0 M
41 0 0 S
10 26 0 S
Bonas fpei promontorium - -
Bononia -------
Buenos Ayres -----
Byzantium ------
Carthagena, Americ. - - -
I 8 0
0 46 28
3 52 20
i 5S 32
5 0 46
17 0 0 Or
1 1 37 0 Or
58 5 0 Occ
28 53 0 Or
75 1 1 30 Occ
Cayenna, Jnf.Amerie. - - -
Eboracum novum - - - -
Fruenburgum -----
Gades. Cadiz, - - - - -
Gedanum. Dantzic. - - -
3 5r 20
4 56 36
I 20 30
0 24 28
1 1$ 12
^y 50 0 Occ
74 9 0 Occ
20 7 30 Or
670 Occ
18 48 0 Or
4 56 0 S
40 40 0 s
54 22 15 S
36 33 30 S"
54 22 0 S
Goa, apudlnd^ orient. - - -
Hafnia. Copenhagen. - - -
D-- Helens J»/- - - - -
Hierofolyma ------
Lima, Peruv. -----
4 55 0
0 51 0
0 24 0
2 21 20
5 8 16
73 45 0 Or
12 45 0 Or
600 Occ
35 20 0 Or
77 4 0 Occ
15 31 0 s
SS 40 45 S
15 55 0 M'
31 55 0 S^
12 2 35 S
Londinum, ad Divi Pauli.
Lutetias, ad Obfervatorium.
Macao, Sinarum. - - - -
Maffilia. Marfeille. - - - -
Matritum ------
0 0 20
0 9 20
7 35 4
0 21 29
0 14 58
050 Occ
2 20 0 Or
113 46 0 Or
5" 22 15 Or
3 44 3° Occ
51 30 40 s
48 50 10 s
22 12 44 S
43 '7 45 S
40 25 0 S
Locorum nomina
Diff. temp.
Mofcua -------
Neapolis --------
Norimbergci - - - - - -
OBSERVATORIUM reg Gren
Ocrinum prom. The Lizard -
Olyffipo. LJjbofi. ■- - - -
Oxonium. ------
Patavium -------
Pekin, Sinan{?n. - - - - -
Petropolis. St Peterjburgh.
Porto belo, Americ. - - -
Praga Bohemiie - - - - -
Quito, Vrbs Americ, - - -
Roma -------
Rupella, Rochelk - - - -
Sherburne Caftle _ _ - -
Smyrna -------
Tenerifa mons - - - - -
Terra delGada, in Inf. Madagafcar
Theffalonica ------
Tornea, Laponice - - - -
Venetiffi -------
Vienna, Aufirice - - - -
Vindana portus. Brefi. - ~ -
Vitenberga. Witemberg. - -
Upfal - ------
Uraniburgum - - - - -
V/anftead ------
H. M.
2 41 20
o 58 40
o 44 ,]6
O ,0 O
0190
o 36 50
o 47 .42
7 45 20
2 I 20
5 ^9 20
o 59 o
5 13 20
o 50 o
054
040
I 49 19
1 6 12
2 58 o
I 32 32
I 35 15
0 48 18
1 5 30
o 18 3
o 50 14
III o
o 51 26
0010
40 20 o Or
14 40 o Or
II 4 o Or
0 00
4 45 o Occ
9 12 30 Occ
1 16 o Occ
■ri 55 30 O^
1 16 20 o Or
30 20 o Or
79 50
14 45
78 20
12 30
I 16
o Occ
o Or
o Occ
o Or
o Occ
I o
27 19
16 33
44 30
23 8
o Occ
45 O-^
o Occ
o Or
o Or
45 O'-
30 Or
30 Or
45 Occ
30 Or
17 45 o Or
12 51 30 Or
30 Or
s$ 36
40 50
49 26
51 28
;9 ss
o S
45 S
o S
30 S
oS
42 30 s
45 o S
22 26 S
54 o S
o o S
33 5
4 30
13 II
54 o
9 43
51 39 25 S
38 28 7 S
28 23 27 S
19 29 o M
40 41 10 S
65 50 50 S
45 25 o S
48 12 48 S
48 23 o S
51 43 10 S
59 51 50 S
55 54 15 S
51 34 o S
TAB. DECL.
TABVLA D E C LI N4T 10 NV M P V N CT 0 RV M
ECLIPTICS.
%
Gr.
7
8
9
lo
II
12
13
14
15
16
17
18
IP
20
21
22
23
24
25
26
17
28
2f?
5^
Arietis.
Lihr<e.
r- / //
000
0 23 54
0 47 48
I II 42
I 35 34
I 5P 25
2 23 14
2 47 I
3 10 45
3 34 26
3 58. 4
4 21 38
4 45 9
5 8 34
5 31 55
5 55 II
6 18 21
6 41 26
7 4 23
7 27 15
7 49 59
8 12 36
D/J.
23 54
23 54
23 53
23 52
23 51
23 49
23 47
23 44
23 41
23 38
23 34
23 31
23 25
23 21
23 16
23 10
23 5
22 57
22 52
22 44
22 37
8 35 5
8 57 26
9 19 39
9 41 45
10 3 37
10 25 21
10 46 56
11 8 20
II 29 33
/-/.g,
//3/J.
22
29
22
21
22
13
22
4
21
54
21 44
21 35
Df.
Tauri.
Scorpii.
II 29 33
11 50 35
12 II 2(5
12 32 4
12 52 31
13 12 44
13 32 45
13 52 32
14 12 5
14 31 24
14 50 28
15 9 17
15 27 51
15 46 9
16 4 II
16 21 57
16 3^ 26
\6 55 37
17 13 31
17 30 . 7
17 45 25
18 2 24
18 18 3
18 33 24
18 48 25
19 3 5
19 17 25
19 31 25
19 45 3
19 58 20
20 11.15
Leo/iis,
Df.
21 2
20 51
20 38
20 27
20 13
19
47
19
33
19
19
19
4
18
49
18
18
W
18
2
17
45
17
29
17
II
Id
16
16
54
36
18
15 59
15 39
I 5 21
15 I
14 40
14 20
14 o
13 38
13 17
12 55
Df.
Geminorum
Diff.
Sagittarir,
&"• / //
1 ii
20 II
15
12 33
20 23
48
20 35 59
20 47 47
20 59 1^2
12 II
II 48
II 25
21 10
14
II 2
10 38
21 20
52
21- 31
7
10 15
21 40
21 50
57
2S
9 50
9 26
21 59
25
9 2
8 37
22 8
2
22 16
22 24
14
0
8 12
7 4^
22 31
20
7 20
22 38
16
6 55
(5 29
22 44 45
^ 3
22 50
48
22 56
23 I
25
?6
5 37 :
5 II
23 6
20
4 44
4 18
23 10
:?8
23 14
23 17
23 20
23 23
28
52
49
19
3 50
3 24
2 57
2 30
2 3
23 25
2 7,
23 26
57
I 35
I 8
23 28
5
23 28
46
0 41
0 14
23 29
oc
Lmcrt.
Capricorm
Diff.
Gr.
30
15 b
TABVLA JSC ENS 10 NVM RE CTA RV M
PV N C T 0 RV M ECLIPTICS.
Sig.
6r.
o
I
2
3
4
5
6
7
8
9
lo
II
12
13
14
15
i6
17
19
20
21
22
23
24
25
26
27
28
29
30
Arietis.
D^ff.
Tauri.
Dif.
Gemittorum
W'
Gr.
0
I
t
3
4
5
~
I
9
lo
II
12
13
14
15
"T6
17
18
19
20
21
22
23
24
25
"26
27
28
29
30
g"' / //
1 II
S^- / II
1 II
g^' 1 //
1 II
000
55 2
55 2
55 3
55 4
55 5
55 6
55 8
55 II
55 13
55 16
55 19
55 23
55 26
55 31
55 35
55 39
55 44
55 50
55 56
56 I
56 7
56 14
56 21
56 27
56 34
56 42
56 50
56 58
57 5
57 14
27 54 9
57 23
57 31
57 40
57 49
57 59
58 9
58 19
58 28
58 38
58 49
58 59
59 9
59 20
59 31
59 41
59 52
60 3
60 .14
60 25
60 36
60 46
60 58
61 8
61 19
61 31
61 41
61 51
62 2
62 13
62 23
57 48 36
62 34
62 43
62 53
63 3
63 13
63 22
63 30
63 39
63 48
63 56
64 4
64 12
64 19
64 26
64 33
64 ?9
0 55 2
1 50 4
2 45 7
3 40 II
4 35 16
28 51 32
29 49 3
30 46 44
31 44 33
32 42 32
58 51 10
59 53 53
60 56 46
61 59 4P
63 3 2
5 30 22
6 25 31
7 20 42
8 15 55
9 II II
33 40 41
34 39 00
35 37 28
36 36 6
37 34 55
64 6 24
65 9 54
66 ij 33
67 17 21
68 21 18
10 6 31
11 I 54
11 57 20
12 52 51
13 48 26
38 33 54
39 33 3
40 32 23
41 31 54
42 31 35
69 25 22
70 29 34
71 33 53
72 38 19
73 42 52
14 44 5
15 39 50
iS'35 40
17 31 36
18 27 37
43 31 27
44 31 30
45 31 43
46 32 8
47 32 44
74 47 31
75 52 16
76 57 7
78 2 3
79 7 4
64 45
64 51
64 56
65 I
65 5
65 9
65 12
65 16
65 18
65 20
65 22
65 24
65 25
65 25
19 23 44
20 19 58
21 16 19
22 12 46
23 9 20
48 33 30
49 34 28
50 35 36
51 36 55
52 38 26
80 12 9
81 17 18
82 22 30
83 27 46
84 33 4
24 6 2
25 2 52
25 59' 50
26 56 55
27 54 9
53 40 7
54 41 58
55 44 0
56 46 13
57 48 36
85 38 24
86 43 46
87 49 10
88 54 35
90 0 0
T
Dif
^
Dif.
H
J^'^ff-
TABVLA ASCENSION VM RECTA RV M
PVNCTORVM ECLIPTICS.
Sig,
~,
o
I
2
3
4
5
5
7
8
9
lo
II
12
13
14
15
15
17
18
19
20
21
22
23
24,
25
25
27
28
29
30
Cancri.
Dif
Leonis.
• Dif.
,
Firginis.
Diff.
gr- / //
/ //
g*-' / //
' "
l^- / //
1 II
90 0 0
55 25
55 25
55 24
55 22
55 20
6% 18
122 11 24
52 23
52 12
52 2
5l 52
61 41
5i 31
5l 19
5i 8
5o 58
5o 46
5o 35
5o 25
5o ■ 14
5o' 3
59 52
59 41
59 31
59 20
59 9
58 59
58 49
58 38
58 28
58 19
58 8
57 59
57 49
"57 40
57 32
57 23
152 5 51
51 1-4
51 5
56 5^8
55 49
55 42
56 35
56 27
56 21
55 13
55 8
55 r
55 56
55 49
55 45
55 40
55 35
55 Z^
55 25
55 23
55 20
55 i5
55 13
55 II
55 8
55 5
55 5
55 4
55 3
55 2
55 2
91 5 25
92 10 50
93 16 14
94 21 36
95 25 55
123 13 47
124 15 59
125 18 I
125 19 53
127 21 34
153 3 5
154 0 10
154 57 8
155 53 57
155 50 39
96 32 14
97 37 30
98 42 42
99 47 51
100 52 56
55 i5
55 12
55 9
65 5
55 I
54 56
54 51
54 45
54 39
64 33
54 27
54 19
54 12
64 4
53 56
53 48
53 40
53 30
53 22
63 13
128 23 5
129 24 24
130 25 32
131 25 30
132 27 i5
157 47 14
158 43 41
159 40 2
i5o 35 15
i5i 32 23
loi 57 57
103 2 53
104 7 44
105 12 28
io5 17 7
133 27 52
134 28 16
135 28 30
135 28 33
137 28 25
1 52 28 24
153 24 20
164 20 9
155 15 54
1 55 II 34
107 21 40
108 26 7
109 30 25
no 34 38
III 38 42
138 28 5
139 27 37
140 25 57
141 25 6
142 25 5
167 7 9
168 2 40
i58 58 6
159 53 29
170 48 49
171 44 5
172 39 18
173 34 29
174 2^ 37
175 24 44
112 42 38
113 45 26
I 14 50 6
115 53 35
ii5 55 58
143 23 54
144 22 32
145 21 0
145 19 19
147 17 27
118 0 II
119 3 14
120 5 7
121 8 50
122 II 24
63 03
62 53
52 43
62 34
148 15 26
149 13 1 5
150 lo- 56
151 8 28
152 5 51
176 19 49
177 14 53
178 9 56
179 4 58
180 0 0
S
Diff,
' a
D;/.
m
DIS.
TA BVLA JSC EN S 10 NVM REC TJRV M
PVNCTORVM ECLIPTIC JL.
Sig.
Gr.
o
I
2
3
4
5
7
8
9
lO
II
12
13
14
15
16
17
18
19
20
2 1
22
23
24
25
26
27
2 c
Lil>r4!.
Dif
1 II
Scorpi.
Biff.
' Saginarii.
Dtff,
g^' / //
g^' , n
1 1/
g^' i II
1 a
I So 00
55 2
55 2
55 3
55 4
55 5
55 6
55 8
55 II
55 13
55 16
55 19
55 23
55 26
55 31
55 35
55 39
55 44
55 50
55 56
56 I
56 7
56 14
56 21
56 27
56 34
56 42
56 50
56 58
57 5
37 14
207 54 9
57 23
57 31
57 40
57 49
57 59
58 9
58 19
58 28
58 38
58 49
58 59
59 9
59 20
59 30
59 41
%9 52
60 3
60 14
60 25
60 36
60 46
60 58
61 8
61 19
6i 31
61 41
61 51
62 2
62 13
62 23
237 48 36
62 ^"
180 55 2
181 50 4
182 45 7
183 40 II
184 35 16
208 51 32
209 49 3
210 46 44
211 44 33
212 42 32
238 51 10
239 53 53
240 56 46
241 59 49
243 3 2
62
62
63
63
7t
43
53
3
13
22
30
48
56
4
12
19
26
33
30
185 30 22
186 25 31
187 20 42
188 15 55
189 II II
213 40 41
214 39 00
215 37 28
216 36 6
217 34 55
244 6 24
245 9 54
246 13 33
247 17 21
248 21 18
63
63
63
63
64
64
64
64
64
6a
190 631
19^ I 54
191 57 20
192 52 51
193 48 26
218 33 54
.219 33 3
220 32 23
221 31 54
222 31,35
249 25 22
250 29 34
251 33 53
252 38 19
253 42 52
194 44 5
195 39 50
196 35 4^
197 31 36
198 27 37
223 31 27
224 31 30
225 31 43
226 32 8
227 32 43
254 47 31
255 52 16
256 57 7
258 2 3
259 7 4
64 45
64 51
64 56
65 I
65 ?
199 23 44
200 19 58
201 16 19
202 12 46
203 9 20
228 33 30
229 34 28
230 35 36
231 36 55
232 38 26
260 12 9
261 17 18
262 22 30
263 27 46
264 33 4
65
65
65
65
65
9
12
16
18
20
22
24
25
25
204 6 2
205 2 52
2C5 59 5^
-06 56 55
■ c7 54 ^
233 40 7
234 41 58
235 44 0
236 46 13
237 48 3c
265 38 24
266 43 46
267 49 IC
268 54 35
270 0 c
65
65
65
65
1 ^ _ ^
til
Dlff
/
L
^'f
TABVLA JSC ENS 10 NV M R ECTA RV M
PVNCTORVM EC LI PT IC M.
Sig.
Gr.
Capr
g""-
270 00 00
271 5 25
272 10 50
273 15 14
274 21 36
275 26 55
276 32 14
277 37 30
278 42 42
27P 47 51
280 52 5(5
281 57 57
283 2 53
284 7 44
285 12 28
285 17 7
287 21 40
288 26 7
289 30 26
2pO 34 38
291 38 42
292 42 38
293 46 26
294 50 6
2^5 53 3<5
295 5<5 58
298 O II
299 3 14
300 6 7
301 8 50
302 IX 24
Dif
55 25
55 25
55 24
55 22
55 20
65 18
55 i5
65 12
65 9
65 5
65 1
54 56
64 51
54 45
64 39
54 33
64 27
64 19
54 12
64 4
^3 56
63 48
53 40
63 30
53 22
53 13
63 3
62 53
62 43
52 34
A^uarii.
g'--
302 II 24
303 13 47
304 15 55»
305 18 I
305 19 53
307 21 34
308 23 5
309 24 24
310 25 32
311 26 30
312 27 1(5
313 27 52
314 2.8 16
315 28 30
316 28 33
317 28 25
318 28 6
319 27 37
320 26 57
321 26 6
322 25 5
323 23 54
324 22 32
325. 21 o
325 19 19
527 17 27
328 15 26
329 13 16
330 10 56
331 8 28
332 5 51
Dif.
1 II
52
23
52
12
52
2
5i
52
5i
41
5l
31
5i
19
5i
8
5o
58
5o
45
60
3^
60
25
60
14
60
3
59
52
59
41
19
31
59
eo
59
9
5B
59
58
49
58
38 ^
58
28 .
58
19
58
8
57
59
57
49 .;
57 .4° 1
57
32
57
23
D'f .;
d
Pifck
g"'
332 5 51
333
3
5
334
0
10
334 57
8
335
53
57
336 50
39
337 47
14
338
43 41
339 40
2
340 3^
15
341
32
23
342
28
24
343
24
20
344
20
.9
345
15
54
346
11
34
347
7
9
348
2
40
348
58
6
349
53
29
350
48
49
351 44 5
352 39 18
353 34 29
354 29 37
35 5 24 44
355 19 49
357 H 53
358 9 56
359 4 58
350 o x>
Diff.
57
14
57
5
$6 58
56
49
5<^
42
5^ 35
56
2.7
56
21
56
1-3
$6
8
56
I
55
56
55
49
55
45r
55
4a
55
35
55
31
55
25
55
23
55
20
55
16
55
13
55
II-
55
8
55
5
55
5
55
4
55
3
55
z
55
2
Cp
*j
TABVLA 4 N GV LO RV M ECLIPTIC jE
CVM MERIDIAN 0.
Gn
Ar'mis.
Lilr£.
66 31 00
66 31 il
66 51 46
66 32 43
66 34 4
66 3 5 47
66 37 53
66 40 23
66 43 15
66 46 30
66 50 8
66 54 9
66 58 33
67 3 20
67 8 30
67 14 3
67 ip 58
67 26 17
67 32 58
67 40 2
67 47 30
67 55 iP
68 3 32
68 12 8
68 21 6
68 30 27
26 68 40 II
27 68 50 17
69 o 45
69 II 37
69 22 51
Virginis.
Pifcium.
m-
2 30
2 52
3 15
3 38
4 I
4 24
4 47
5 io
5 33
5 55
6 19
6 41
7 4
.7 28
7 49
8 13
8 36
8 58
9 21
9 44
10 6
10 28
10 52
11 14
0#
TauH.
ScorpH.
g^'
69 22 51
69 34 27
69 46 26
69 58 46
70 II 30
70 24 35
70 38 2.
70 51 51
71 6 2
71 20 35
71 35 2^
71 50 45.
72 6 22
72 22 21
72 38 40
72 55 20
73 12 21
73 29 43
73 47 24
74 5 26
74 23 48
74 42 29
75 I 29
75 20 49
75 40 28
76 o 25
76 20 40
76 41 14
77 2 5
77 23 13
77 44 38
Leonis.
Aquarii.
D^f
II 56
11 59
12 20
12 44
13 5
13 27
13 49
14 II
14 33
14 54
15 16
15 37
15 59
16 19
16 40
17 I
17 22
17 41
18 2
18 22
18 41
19 o
19 20
19 39
19 57
20 15
20 34
20 51
21 8
21 25
M-.
gr.
Geminorum
nttAYti,
11 44 38
78 6 20
78 28 18
78 50 31
79 13 o
79 35 45
79
58 43
^o 21 55
80 45 21
81 9 I
81 32 52
81 56 56
82 21 12
82 45 39
8j lO' 16
83 35 3
83 59 59
84 25 5
84 50 18
85 15 40
85 41
86 6 43
86 32 23
'86 58 9
87 23 59
87 49 53
b« 15 51
88 41 51
89 7 53
89 33 56
90 o o
Cancri.
Capri cor rji.
Diff.
/
)i
21
42
21
58
22
13
22
29
22
45
22
58
23
12
23
26
23
40
23
51
24
4
24
16
24
27
24 37
24 47
24
56
25
6
25
13
25
22
25
25
28
35
25
40
25 46|
25
50
25
54
25
58
26
0
26
2
26
3
26
4
D
I' ■
tabvljE al q^vat 10 n is temporis.
Subtrahe ab Appare^te,
Suhtrahe ab Appxrente,
Locus Solis Veruso
Anomalia Solis Media.
S^g.
Tft
«ni
n/
Srg.
0
I
2
3
4
5
Gr.
/ //
/ //
/ //
Gr.
/ //
. / /■/
/ //
; ;/
/ //
/ //
■ '
.^_ —
—m—
__
_— . —
o
0 0
8 23
8 45
30
0
0 0
3 48
6 39
7 45
647
3 57
30
■
__ —
■1 —
— — —
~— ~
— — —
1 —
—
— — —
.1 —
_^_ —
I
0 20
8 34
8 35
29
I
0 8
3 55
6 43
7 45
643
3 50
29
2
0 40
8 44
8 24
28
2
0 16
4 2
6 47
7 45
6 39
3 43
28
3
I 0
8 53
8 13
27
3
0 24
4 9
6 51
7 45
6 35
3 35
27
4
I IP
9 2
8 I
16
4
0 32
4 T<5
6 54
7 45
5 30
3 28
26
5
I 39
9 10
748
25
5
0 40
4 22
6 58
7 44
6 2d
3 20
25
6
I 58
9 17
7 34
24
^
0 48
4 29
7 I
7 44
6 21
3 13
24
7
2 18
9 24
7 20
23
7
0 56
4 35
7 5
7 43
6 16
3. 5
23
8
2 37
9 30
7 6
22
8
I 3
4 42
7 8
7 42
6 II
2 58
22
9
2 56
9 35
6 50
21
9
I II
448
7 II
7 41
5 6
2 50
21
lO
3 15
9 40
^ 35
20
10
I 19
4 54
7 14
7 40
6 I
2 42
20
II
3 34
9 44
6 18
19
II
I 27
5 0
7: 17
7 39
5 56
2 34
19
12
3 52
9 4«
6 2
18
12
I 35
5 7
7 19
7 37
5 51
2 27
18
13
4 II
9 50
5 44
17
13
I 12
5 12
7 22
7 36
5 45
2 19
17
H
4 29
9 52
5 27
16
14
r 50
5 18
7 25
7 34
5 40
2 II
\6
15
4 4^
9 54
5 8
15
15
1 58
5 24
7 27
7 32
5 34
2 3
15
i6
5 4
9 54
4 50
14
16
2 6
5 30
7 29
7 30
5 28
I 55
14
17
5 21
9 54
4 31
13
17
2 13
5 35
7 31
7 28
5 22
I 47
13
18
5 37
9 53
4 II
12
18
2 21
5 41
7 33
7 25
5 16
I 39
12
19
5 54
9 51
3 52
II
19
2 28
5 46
7 35
7 23
5 10
I 31
11
20
6 10
9 49
3 32
10
20
2 36
5 52
7 36
7 20
5 4
I 22
10
1
— -
■
■ —
___ —
21
6 25
9 4^
3 II
9
21
2 43
.5 57
7 38
7 18
4 58
I 14
9
22
6 40
9 42
2 51
8
22
2 51
6 2
7 39
7 15
4 51
I 6
8
23
6 55
9 38
2 30
7
23
2 58
6 7
7 41
7 12
4 45
0 58
7
24
7 9
9 33
2 9
6
24
3 6
6 12
■7 42
7 9
4 38
0. 50
6
25
7 23
9 26
I 48
5
25
3 13
6 17
7 43
7 .5
4 32
0 41
5
26
7 36
9 19
I 26
4
26
3 20
6 21
7 43
7 2
4 25
0 33
4
27
7 4^
9 12
I 5
3
27
3 27
6 26
7 44
6 59
4 18
0 25
3
28
8 I
9 4
0 43
2
28
3 34
6 30
7 44
6 55
4 II
0 17
2
29
8 12
8 55
0 22
I
29
3 41
6 35
7 45
6 51
4 4
0 8
I
30
8 23
8 45
0 0
0
30
3 48
5 39
7 45
6 47
3 57
0 0
0
— =-.
— —
__
/ //
Gr.
/ //
/ n
/ //
/ //
/ /'
Gr.
)in
wJ^bt
V?S
Sr^.
II
10
9
8
7
6
S^<r
Atide ad Apparens.
_
( Adde ad Apparens.
I -U-Jiy
TABVLJ MQVATIONJS TEMPOKIS COMPOSITE,
EXISTENTE APOGEO S 0 L I S m Vlll&^- CANQRI.
Add:
Gr.
I
2
3
4
6
7
8
9
lo
II
12
13
14
i6
^7
i8
19
20
21
22
.2 3
24
Ji
26
27
28
29
30
740
721
7 2
643
6 24
546
527
5 8
449
430
4 ^^
3 53
3 34
316
257
3^'
I 9
1 23
136
149
2 I
213
239
2 21
2 3
145
I 27
I 10
053
037
o 20
o 4
— II
o ^6
o 41
0 56
1 9
223
234
244
253
3 2
2r
1^.
356
310
3 17
3 25
3 32'
339
3T5
350
3 54
3 57
4 °
4 5
4 4
4 2
3 59
356
352
3 47
3 43
338
332
325
318
311
3 3
254
244
235
224
2 15
2 4
I 6
I 53
141
I 29
I 18
I 6
053
041
028
015
0 2
+n
025
039
053
1 6
1 19
133
147
2 o
253
226
2 38
2 51
3 4
327
338
350
4 I
411
421
430
439
448
457
a
549
5 51
5 52
553
5 53
5 52
5 51
549
5 47
544
540
5 35
530
524
5 17
5 10
III
158
141
1 24
I 7
o 50
5 .5
5 12
518
5 24
5 31
536
540
5 43
546
549
5 2
4 54
445
436
426
415
4 4
352
339
327
313
2 59
245
2 30
214
o 32
013
- 5
0 24
044
1 4
124
144
2 4
2 24
3 6
327
348
4 9
5a^
742
8 3
824
844
9 4
924
m
5a^.
15 32
1540
1547
1553
1558
16 2
943 1*5 5
10 3 16 8
10 22
1041
11 o
II 18
II 36
11 53
12 IG
12 27
1243
12 59
13 14
13 29
1343
430
451
5 12
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Motus Anomdi<& Media
Solis.
Ill nil
V
II III
III!
1 II
Ill
2 27
50
4 55
41
7 23
31
9 51
22
12 19
12
14 47
2
17 14
53
19 42
43
22 10
34
24 38
24
27 6 14
29 34 5
32 I 55
34 29 4^
36 57 36
39 25 27
41 53 17
44 21 7
46 48 58
49 16 48
51 44 39
54 12 29
55 40 19
59
5 1
8 10
36
H 3 51
66 31 41
68 59 31
71 27 22
73 55 12
I \6 23
I 18 51
I 21 19
I 23 47
I 2d 14
I 28 42
I 31 10
I 33 38
I 36 6
I 38 34
I 41 I
I 43 29
^ 45 57
I' 48 25
I 50 53
I 53 21
I 55 48
I 58 \6
2 0 44
2 312
2 5 40
288
2 10 36
2 13 3.
2 15 31
2 17 59
2 20 27-
2 22 55..
2 25 23
2 27 50
TABVLA ^QJOJTIONVM S 0 L I S.
Anomdia. media, Solis.
Sig. 0.
Sig. I.
Sig. II.
Sig. III.
Sig. IV.
Sig. V.
Subtr.
Sukr.
Suhr.
Subtr.
Subtr.
Subtr.
Gr.
0. 1 II
0. / //
0. 1 II
I 39 41
0. 1 II
I 56 19
0. 1 II
I 41 48
I 40 48
0. / //
30
29
o
000
0 57 7
0 59 15
I
0 I 59
0 58 51
I 40 42
I 56 20
0 57 26
2
0 3 59
I 0 33
I 41 41
I 5<5 19
I 39 46
0 55 37
28
3
0 5 58
I 215
I 42 39
I 5<? 16
I 38 41
0 53 48
27
4
0 7 57
I 3 55
I 43 35
I 56 12
I 37 35
0 51 57
26
5
0 9 56
I 5 35
I 44 29
I 55 5
I 36 27
0 50 5
0 48 13
25
24
0 11 55
I 7 14
I 45 21
I 55 56
I 35 17
7
0 13 53
I 8 51
I 40 II
I 55 45
I 34 5
0 46 19
- 23 ,
8
0 15 51
I 10 27
I 47 0
I 55 31
I 32 5:2
0 44 25
22
9
0 17 49
I 12 I
I 47 46
I 55 15
I 31 37
0 42 30
■ 21
\ if^
0 19 47
I 13 35
I 48 31
I 54 58
I 30 20
0 40 34
20 .
II
0 21 45
I 15 7
I 49 13
I 54 38
I 29 I
0 38 37
19
12
0 23 42
I 16 38
I 49 53
I 54 16
I 27 41
0 35 40
18
13
0 25 38
I 18 7
I 50 32
I 53 52
I 26 19
0 34 41
17"
H
0 27 35
I 19 36
I 51 9
I ,53 16
I 24 5:5
0 32 42
x6
15
0 29 30
I 21 3
I 51 44
I 52 58
I 23 30
0 30 43
0 28 43
15
14
l6
0 31 25
I 22 28
I 52 17
I 52 27
I 22 3
17
0 33 20
I 23 51
I 52 48
I 51 55
I 20 35
0 26 42
13-
: 18
0 35 14
I 25 14
I 53 16
I 51 20
I 19 5
0 24 41
12
IP
0 37 8
I 26 35
I 53 43
I 50 44
I 17 33
0 22- 39
II
20
0 59 I
I 27 55
I 54 7
I 50 5
I 1(5 0
0 20 37
10
> 9
21
0 40 53
I 29 13
I 54 30
I 49 24
I 14 26
0 18 34
22
0 42 44
I 30 29
I 54 50
I 48 42
I 12 50
0 16 31
; 8
-3
0 44 55
I 31 43
I 55 9
I 47 57
I II 13
0 14. 28
■ 7
24
0 46 .25
I 32 56
I 55 25
I 47 II
I 9 34
0 12 24
-, 6
25
0 48 14
I 34 8
I 55 39
I 46 22
r 7 54.
0 10 21
' 5
26
0 50 2
I 35 18
I 55 51
I 45 31
I 6 13
0 8 17
: 4
27
0 51 50
I 36 26
I 56 I
I 44 38
I 4 31
0 (5 13
3
28
0 53 3,6
I 37 33
I 56 9
I 43 43
I 2 47
049
2
2P
0 55 22
I 38 38
I 56 15
: I- 42 47
I I ■ 2
024
r
30
0 57 7
I 39 41
Sig. X.
I 55 19
Sig. IX.
I 41 48
0 59 15
000
.0
Sig. XL
Sig. VIII.
Sig. VII.
Sig. VI.
Gr
AMe.
^^^V.
AMe. •
Jdde.
Adde.
Adde.
LOGAKITHMI D ISTJ NT lA RVM SOLIS J TERRA
Anomalia media So/f»'.
Sig. 0.
Sig. I.
Sig. II.
Sig. III.
Sig. IV.
Sig. V.
Logar.
4 993620
30
29
28
27
26
25
24
23
22
21
20
Gr.
Lfw^r.
Logar.
Logar.
Logar.
Logar.
o
) 007286
5 006347
5 003749
> 000124
4 996405
4 996292
4 996180
4 996069
4 995959
4 995850
I
2
5
^ 4
5
5' 007285
5 007282
-> 0,07277
5 007269
5 007260
5 006284
5 00.6220
5 006154
5 006087
5 006018
5 003640
5 003531
5 003420
5 003307
5 003194
4 999995
4 999867
4 999739
4 99961 I
4 999483
4 993555
4 993491
4 993429
4 993369
4 993311
4 993255
4 993201
4 993150
4 993^02
4 993055
6
; 7
. 8
; 9
i lo
5 007249
5 007235
5 0,07218
1 007200
5 007180
5 ao594^
5 005872
5 005797
5 005720
5 005642
5 003080
5 002965
5 002849
5 002732
5 002614
4 999354
4 999227
4 999099
4 998971
4 998844
4 995742
4 995636
4 995531
4 99-5427
4 995325
. 12
. 13
14
15
5 00715.8
5 007134
5 007107
5 007079
5 007048
5 005562
5 005480
5 005397
5 005312
5 005225
5 002495
5 002375
5 002254
5 002134
5 002012
4 998717
4 998590
4 998463
4 998336
4 998210
4 995224
4 995126
4 995028
4 994932
4 994836
4 993009
4 992966
4 992926,
4 9^2888
4 992852
19
18
17
16
15
i6
. 17
. i8
19
20
5 007015
5 006980
5 006943
5 006905.
5 006864
5 005136
5 005047
5 004956
5 004863
5 004768
5 G01890
5 001767
5 001643
5 001518
5 001393
4 998084
4 997960
4 997837
4 997714
4 997591
4 994743
4 994^52
4 994562
4 994474
4 994387
4 992818
4 992786
4 992757
4 992731
4 992706
14
13
12
11
10
21
22
, 23
24
25
5 006821
5 006776
5 006730
) 006681
5 006630
5 004672
5 004575
5 004477
5 004377
5 004275
5 00x268
5 001142
5 001016
5 000889
5 000762
4 997468
4 997347
4 997226
4 997106
4 996987
4 994302
4 994219
4 994138
4 994058
4 993980
4 993904
4 993831
4 993759
4 993688
4 993620
4 992683
4 992^63
4 992646
4 992^31
4 992618
9
8
7
6
5
26
. 27
, 28
29
50
5 006577
5 006522
-5 006466
.5 006408
5 006347
5 004173
5 004069
) C03963
5 003857
5 003749
5 000635
5 000508
5 P00380
5 000252
5 000124
4 996868
4 996750
4 996634
4 996519
4 996405
4 992607
4 992599
4 992593
4 992590
4 992589
4
3
2
I
0
Sig. XL
Sig. X.
1
Sig. IX. Sig. VIII
Sig. VII.
Sig. VI.
Gr.
EPOCHM
MEDIARUM
CONyUNCriONUM LUNM
Ct/M
SOLE.
Annis
>//
mis ineuntibus.
Annu
Julia^
Temp primteConj.
K^^,
Ammali^ Media
So/,
. ab Apog. L
una
5o
is a Nodo Luna
«yww
rjan
Soils.
Dijlantia.
Dijiantia
bus.
l66l
D.
H.
M.
s.
s
°
'
"
s
°
1
"
S
° .
/ //
19
20
52
12
7
3
I
2>7
5
7
8
5
3
19
59 42
62
9
5
40
49
b
22
17
29
3
lb
56
10
3
28
2 29
6,?
28
3
13
28
7
10
39
41
2
22
33
lb
5
6
45 30
64
17
12
2
5
b
29
55
33
I
2
21
21
5
14
48 18
65
7666
5
20
50
41
b
19
1 1
26
II
12
9
26
5
22
51 5
24
18
23
21
7
7
33
37
10
17
46
32
7
I
34 6
67
14
3
II
5«
b
2b
49
30
8
27
34
37
7
9
36 53
68
3
12
0
34
b
lb
5
22
7
7
22
42
7
17
39 40
69
21
9
ii
14
7
4
27
33
b
12
59
48
8
2b
22 42
70
1 67 1
10
18
21
51
6
23
43
2b
4
22
47
53
9
4
25 28
0
3
10
27
6
12
59
18
3
2
35
59
9
12
28 15
72
19
0
43
7
7
I
21
30
2
8
13
4
10
21
II 17
7.^
7
9
31
43
b
20
37
22
0
18
I
9
10
29
14 5
74
26
7
4
23
7
8
59
34
II
23
3^
15
0
7
57 5
75
1676
15
15
53
0
b
28
15
2b
10
3
2b
20
0
15
59 53
5
0
41
36
6
17
31
19
8
13
14
25
0
24
2 39
77
22
22
14
16
7
5
53
30
7
18
51
3'
2
2
45 41
7«
12
7
2
53
b
25
9
22
5
28
39
3^
2
10
48 28
79
I
15
51
29
b
14
25
15
4
8
27
42
2
18
51 15
80
1681
20
13
24
9
7
2
47
2b
3
14
4
47
3
27
34 17
8
22
12
45
6
22
3
19
I
23
52
52
4
5
37 4
82
27
19
45
25
7
10
25
30
0
29
29
5«
5
14
20 5
«,?
17
4
34
2
b
29
41
23
II
9
18
3
5
22
22 52
84
6
13
22
3«
6
18
57
15
9
19
6
8
b
0
25 39
«5
1686
24
10
SS
17
7
7
19
27
8
24
43
14
7
9
8 41
13
19
43
55
6
26
35
18
7
4
31
19
7
17
II 27
«7
3
4
32
3'
b
15
51
I I
5
14
19
25
7
25
14 14
88
22
2
5
II
7
4
13
22
4
19
5^
30
9
3
57 16
89
10
10
53
47
^
23
29
14
2
29
44
35
9
12
0 4
90
1 69 1
29
18
8
17
2b
15
27
4
7
II
51
2b
2
0
5
15
21
9
41
46
10
10
20
28
43 4
45 5'
7
I
7
19
92
8
2
3
40
b
20
23
11
10
24
57
5'
1 1
6
4S 38
93
25
23
Z^
19
7
8
45
24
10
0
34
57
0
15
31 40
94
15
y
24
57
b
28
I
14
8
10
23
2
0
23
34 27
1695
*
-<7
'3
33
b
17
17
b
b
20
II
8
I
I
37 H
Ee
EPOCHM
MEDIA RUM
r.TT M
CONJUNCTIONUM LUNM
Annh
fulianis ineuntibus.
Amis
Julia-
Temp, prima Coy.
Med.
^;>
omalia Mea
/a
Jo/w a3 ^of . iz;»^
Sol
s a Nodo Lma
eutiti-
bus.
in Men/. J a,
Solis.
Diflantia.
Difta
nua.
D.
H.
M.
S.
s
°
1
//
S
°
1
//
S
°
1 n
i6g6
23
H
46
^3
7
5
39
iS
5
25
48
13
2
10
20 16
97
II
23
34
49
6
24
55
10
4
•5
3b
18
2
18
23 3
9«
I
8
23
26
6
14
II
2
2
15
24
24
2
2b
25 50
99
20
5
5(>
b
7
2
ii
14
1
21
I
29
4
5
8 51
1700
1701
9
14
44
42
6
21
49
7
0
0
49
34
4
»3
" 37
27
12
17
21
7
10
II
20
II
6
26
41
5
21
54 40!
2
16
21
5
5«
6
29
27
12
9
lb
H
4b
5
29
57 27,
3
6
5
54
34
6
18
43
4
7
2b
2
51
b
8
0 14
4
25
3
27
14
7
7
5
16
7
I
39
57
7
lb
43 15
5
1706
'3
T
12
21
15
4
51
27
b
2b
21
8
5
II
28
2
7
24
46 2
6
^5
37
0
3
21
16
7
8
2
48 49
7
21
18
37
7
7
3
59
12
2
2b
53
13
9
II
31 50
8
II
3
25
44
b
23
15
4
I
6
41
18
9
19
34 37
9
29
0
5^
23
7
II
i7
lb
0
12
18
24
10
28
17 39
10
1711
18
9
47
0
7
0
53,
8
10
22
6
29
"
b
20 26
7
18
35
36
6
20
9
I
9
I
54
34
II
14
23 14
12
26
16
8
16
7
8
31
12
8
7
31
40
0
23
6 15
13
15
0
5&
53
6
27
47
5
b
17
19
45
1
I
9 I
14
4
9
45
29
b
17
2
5*3
4
27
7
50
I
9
11 49
15
1716
23
12
7
16
18
6
9
46
7
5
25
9
4
2
44
5t>
2
17
54 49
6
24
41
0
2
12
33
,
2
25
57 37
17
I
0
55
22
6
13
5«^
54
0
22
21
6
3
4
0 25
18
19
22
2«
2
7
2
19
b
II
27
58
12
4
12
43 25
19
9
7
16
3^
b
21
34
5^
10
7
4b
17
4
20
40 13
20
1721
28
4
49
18
7
9
57
10
9
13
23
23
5
29
29 14
16
13
37
54
6
29
13
2
7
23
1 1
20
6
7
32 2
22
5
22
2 6
31
b
18
28
54
6
2
59
33
b
15
34 48
23
24
19
59
1 I
7
b
51
6
5
8
3b
39
7
24
17 49
24
14
4
47
48
b
26
b
58
3
18
24
44
8
2
20 ^6
25
1726
2
'3
3^
24
6
7
15
3
22
45
50
28
12
49
8
10
23 25
21
1 1
9
4
I
3
49
55
9
19
6 25
10
19
57
40
D
23
0
55
11
13
3«
0
9
27
9 12
28
0
4
46
17
6
12
16
47
9
23
2b
b
10
5
I' 59
29
18
2
18
57
7
0
3«
59
8
29
3
1 1
II
13
55 I
1730
7
"
7
33
b
19
54
50
7
8
51
lb
1 1
21
57 47
EPOCHM MEDIARUM
CONJUNCriONUM LVNM
Ct/M
SOLE.
Annis
JuUanis ineuntibm.
Annis
Julia
Temp, prima Conj. Med.
^
«o!!«a/<^ M«<3';a
Sclis ah Afog. tiunee
«■o/» ^ Nodo Luncs 1
nis in-
t
« iw.»/ 7««.
So/;;.
iJi/^
%nua.
Dijiantia. |
bu!.
D.
H.
1 II
s
°
1
II
S
°
1
//
S
°
/ //
1731
26
8
40 13
7
8
17
3
6
14
28
22
I
0
40 49
32
i^
17
28 50
b
27
32
54
4
24
lb
27
I
8
43 36
33
4
2
17 26
6
lb
48
47
3
4
4
32
I
lb
46 24
34
22
23
50 6
7
5
10
59
2.
9
41
38
2
25
29 25
35
12
8
38 43
6
24
26
51
0
19
29
43
3
3
32 12
1736
I
17
27 19
6
13
42
43
10
29
17
48
3
II
34 59
37
19
14
59 58
7
2
4
55
10
4
54
54
4
20
18 I
38
8
23
48 35
6
21
20
47
8
14
42
59
4
28
20 48
39
27
21
21 15
7
9
42
59
7
20
20
5
b
7
3 49
40
1741
17
6
9 52
6
28
58
51
6
0
8
10
b
15
6 36
5
H
58 28
6
18
14
44
4
9
56
16
6
23
9 24
42
24
12
31 8
7
6
3t>
5^)
3
15
33
21
8
I
52 25
43
'3
21
19 45
b
25
52
48
I
25
21
2b
8
9
55 12
44
3
6
8 22
6
15
8
40
0
5
9
31
8
»7
58 0
45
21
3
41 00
7
3
30
52
1 1
10
4b
37
9
2b
41 I
1746
10
12
29 37
6
22
46
44
9
20
34
42
10
4
43 48
47
29
10
2 17
7
II
8
5b
8
2b
II
48
II
13
26 49
48
18
18
50 54
7
0
24
48
7
5
59
53
II
21
29 36
49
7
3
39 30
b
19
40
40
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■15928
1287
287
b
I
34
9
0
27
It)
■■2
29
47
40
0
0
19 14
22325
1804
359
10
34
42
II
7
33
17
II
29
47
b
■'
29
44 56:
E P 0 C HJL MED 10 RV M MO TVV M LV N M
Et Apogei ejm, Exifiente Terra in Aphelio.
Annii
L«»^ 4^ Mqui-
Apog. Luniz ab
^KKW
!.«/;<< ah JEqui-
^/'''^. L«»<c al>
Cbri-
Jlicw-
rent.
noSiio.
Mqai»o£}io.
flicur-
re7tt.
no^io.
^quinoBio.
l66i
s.
0. 1 n
S. 0. / /1
1696
S. 0. / //
S. 0. / //
3
24 52 14
5 19 29 0
2 22 56 56
5 3 44 7
62
8
7 40 22
7 0 10 34
91
7 5 45 4
6 14 25 42
63
0
20 28 30
8 10 5:2 9
98
II 18 33 12
7 25 7 i5
64
5
3 15 38
9 21 33 43
99
4 I 21 20
9 5 48 51
1665
1666
9
16 4 46
II 2 15 18
1700
1701
8 14 9 28
10 16 30 25
I
28 52 54
0 12 5(5 52
0 26 57 36
ri 27 12 0
67
6
II 41 2
I 23 38 27
2
5 9 45 44
I 7 53 34
68
10
24 29 10
3 4 20 I
3
9 22 33 52
2 18 35 9
69
3
7 17 18
4 15 I 36
4
2 5 22 0
3 29 i5 43
1670
1671
7
20 5 26
5 25 43 10
1705
1706
6 18 10 8
5 9 58 18
0
2 53 34
7 6 24 45
II 0 58 16
5 20 39 52
72
4
15 41 43
8 17 6 19
7
3 13 4«^ 24
8 I 21 27
73
8
28 29 51
9 27 47 54
8
7 26 34 32
9123 I
74
I
II 17 59
II 8 29 28
9
0 9 22 40
10 22 44 35
1675
1676
5
24 6 7
0 19 II 3
1710
1 711
4 22 10 48
0 3 26 10
10
6 54 15
I 29 52 37
9 4 58 56
I 14 7 45
77
2
19 42 23
3 10 34 12
12
I 17 47 5
2 24 49 19
i 7«
7
2 30 31
4 21 15 46
13
6 0 35 13
4 5 30 54
1 79
II
15 18 39
5 I 57 21
14
10 13 23 21
5 16 12 28
idSo
3
28 6 47
7 12 38 55
1715
1716
2 26 II 29
6 25 54 3
8
10 H 55
8 23 20 30
7 8 59 37
8 7 35 37
82
0
23 43 3
10 4 2 4
17
II 21 47 45
9 18 17 12
i^3
5
6 31 II
II 14 43 39
18
4 4 35 53
10 28 58 46
84
S^
19 19 19
0 25 25 13
19
8 17 24 I
0 9 40 21
1685
1686
2
2 7 27
2 6 6 48
1720
1721
I 0 12 9
I 20 21 J5
6
14 55 35
3 16 48 22
5 13 0 17
3 I 3 30
«7
10
27 43 43
4 27 29 57
22
9 25 48 25
4 II 45 4
88
3
10 31 51
6 8 II 31
23
2 8 35 33
5 22 26 39
«9
7
23 19 59
7 18 53 6
24
6 21 24 41
7 3 8 13
1690
1 69 1
0
687
8 29 34 40
1725
1726
II 4 12 49
8 13 49 48
4
18 56 15
10 10 16 15
3 17 0 57
9 24 31 22
92
9
I 44 24
II 20 57 49
27
7 29 49 5
II J 12 57
93
I
14 32 32
I I 39 24.
28
0 12 37 13
0 15 54 31
9^
5
27 20 40
2 12 20 5:8
29
4 25 25 2J
I 25 36 5
1695 J 10
10 8 48
3 23 2 33
1730 9 8 13 29
3 7 17 4°J
F f
E P OC H AL MEDIO RV M MOTVVM LV ^ M
Et Afogei ejus, Exiftente Terra in Apbelio,
Annis
Chvi-
fticur-
revt.
1731
32
33
34
1735
1736
37
38
3P
1740
1741
42
43
44
1745
1746
47
48
4P
1750
1751
52
53
54
1755
1756
57
58
5P
1760
1761
62
63
64
1765
LuMA ah jEqui-
no5iio.
1 21 I 37
6 3 49 4^
10 l5 37 54
2 29 2d 2
7 12 14 10
II 25 2 18
4 7 50 26
8 20 38 34
I 3 25 42
5 16 14 50
9 29 2 58
2 II 51 <5
6 24 39 14
II 7 27 22
3 20 15 30
3 3
15 51
2« 39 54
11 28 2
24 id 10
6 7 4 18
10 19 52 27
3 2 40 35
7 15 28 43
11 28 16 51
4 II 4 59
8. 23 53 7
I d 41 15
5 19 29 23
10 2 17 31
4pog. Lutite ah
ALq^itmoBio.
4 17 59 15
5 28 40 49
7 9 22 24
8 20 3 58
10 o 45: 33
II II 27 7
o 22 8 42
2 2 50 Id
3 13 31 51
4 24 13 25
d 4 55 o
7 15 3^ 34
8 2d 18 9
10 6 59 43
11 17 41 18
o 28 22 52
2 9 4 27
3 IP 4d I
5 o 27 3d
d II 9 10
7 21 50 45
9 2 32 19
10 13 13 54
11 23 55 28
I 4 37 3
2 15 18 37
3 2d o 12
5 d 41 4d
d 17 23 21
7 28 4 55
z
15
5
39
6
27
53
47
I
10
41
55
3
23
30
3
8
d
18
II
9 8 4d 30
10 19 28 4
0 o 9 39
1 10 51 13
2 21 32 48
Annis
CM.
fti cur-
rent.
1766
67
58
69
1770
1771
72
73
74
1775
1775
77
78
79
1780
1781
82
83
84
1785
1785
87
88
89
1790
1 79 1
92
93
94
1795
1796
97
98
99
1800
Lfwa ab jEqui-
noifio.
0 19 6 19
5 I 54 27
9 14 42 35
1 27 30 43
d 10 18 51
10 23 d S9
3 5 55 8
7 18 43 16
o • I 31 24
4 14 19 32
8 27 7 40
1 9 55 48
5 22 43 56
10 5 32 4
2 18 20 12
I 8 20
13 5d 28
2d 44 3d
9 32 44
22 20 52
5590
9 17 57 8
2 o 45 Id
5 13 33 24
10 25 21 32
3 9 9 40
7 21 57 49
o 4 45 57
4 17 34 5
9 o 22 13
1 13 10 21
5 25 58 29
10 8 45 37
2 21 34 45
7 4 22 53
■^pog. Luntt ah
■^qumoSiio.
4 2 14 22
5 12 55 57
d 23 37 31
8 4 19 d
9 15 o 40
10 25 42 15
0 d 23 49
1 17 5 24
2 27 4d 58
4 8 28 33
5 19 10 7
d 29 51 42
8 10 33 Id
9 21 14 51
II I 5d 25
0 12 38
1 23 i^ 34
3419
4 14 42 43
5 25 24 18
7 6 552
8 id 47. 27
9 27 29 I
II 8 10 3d
o 18 52 10
I 29 33 45
3 10 15 19
4 20 5d 54
5 I 38 2[
7 12 20 3
«23 I 37
10 3 43 12
11 14 24 4d
6 25 5 21
2 5 47 5.5.
epocHjE motvs nodi jscendentis lvnjl
Exifiente terra in Aphelio,
Ann'u
Nodm^ Afcenl
Annh
Noim'^Afceni.
Annls
Nodus ^Jfcenl
.4WKW
Noius^Jfcend.
Cbri-
ab Mqu'inoB.
Chri.
fticitr-
rent.
ab jEqubtoB.
Chri-
Jli cur-
rent.
ab JEqiiinoB.
ji'i cm-
rent.
ab JEquhvjS.
/}icur
rent.
S. 0. / //
S. 0. / //
S. 0. i ,,
s. 0. 1 11
i66i
5 12 (5 50
1696
7 25 7 52
1731
9 8 855
\q66
10 21 9 57
61
5 22 45 17
91
7 5 47 20
32
8 18 48 22
57
10 I 49 25
6^
5 32545
98
6 16 2 (5 47
33
7 29 27,50
58
9. 12 28 52
64
4 14 5 12
99
527 615
34
7 10 7 17
69
8 23 8 20 ,
1565
3 24 44 40
1700
5 7 45 42
1735
6 20 46 45
1770
8 3 47 47
1666
3 5 24 7
1701
4 18 25 10
1736
6 I 26 12
1771
7 14 27 15
67
2 i5 3 35
2
3 29 4 37
37
5 12 5 40
72
525 542
68
I 26 43 2
3
3 944 5
3«
422 45. 7
73
6 5 45 10
69
I 7 22 30
4
2 20 23 32
39
4 3 2435
74
5 15 2 5 37
1670
0 18 I 57
1705
2130
1740
3 14 4 2
1775
427 5 5
1671
II 28 41 25
1706
I II 42 27
1741
2 2443 30
1775
4 7 44 32
72
II 9 20 52
7
0 22 2155
42
.2 5 22 57
77
3 ,18 24 0
73
10 20 0 20
8
0 3 I 22
43
I 16 2 25
7«
2 29 3 57
74
I'o 0 39 47
9
II 13 40 50
44
0 25 41 52
19
2 ■ 9 42 55
1675
9 II 19 15
1710
10 24 20 17
1745
0 7 21 20
1780
I 20 22 22
1676
8 21 58 42
1711
10 4 59 45
1746
1 1 1 8 0 47
17 8 1
I I I 50
77
8 2 38 10
12
9 15 39 12
47
10 28 40 15
82
0 II 41 17
7b
7 13 17 37
■ 13
8 26 18 40
48
10 9 19 42
«3
ri 22 20 45;
19
62357 5
-.14
8 658. 7
49
9 19 5P 10
84
II 3 0 12-
1680
6 435.32
1715
7 17 37 35
1750
9 0 38 37
1785
10 13 39 40
1681
5 15 16 0
1716
6 28 17, 2
1751
8 II 18 5
1786
9 24 19 7
82
.425 55 27
.17
6 8 56 30
52
7 21 57 32
^7
9 4 58 35
i^3
4. 6 34 55
18
5 19 35 57
53
7 2 37 0
88
81538 2
84
3 17 1422
19
5 0 15 25
54
6 13 \6 27
89
7 25 17 3Q
1685
i68d
2 27 53 50
1720
4 1° 54 52
1755
5 23 55 55
1790
7 6 56 57
2 8 33 17
1721
3 21 34 20
1756
5 4 35 22
1791
5 17 35 25
«7
I 19 12 45
22
3 2 13 47
57
4 15 14 50
92
5 28 15 5»
88
0 29 52 12
23
2 12 53 15
5^
3 25 5417
93
5 8 55 20
89
0 I.Q 31 40
24
I 23 32 42
59
3 6 33 45
P4
4 IP 34 47
1690
11 2,1 II 7
1725
1 4 12 10
1760
2 17 13 12
1795
4 0 14 15
169J
II I 50 35
1726
0 14 51 37
1761
I 27 52 40
1796
3 10 53 42
92
10 12 30 2
27
II 25 31 5
62
I ^32 7
5-7
2 21 33 10
93
, 9 23 9 30
28
II 6 10 32
63
0 19 II 35
98.
2 2 12 37
P4
P 3 48 57
29
10 16 50 0
64
II 29,- 51 2
99-
I 12 52 5
1695
8 14 28 25
I1730
9 27 29 27
1765
II 10 30 3c
1800
023 31 32
MEDll MOTVS LVNjEy JPOGEI ET NODO RVM
AD GRADVS ANOMALIJE MEDIM SOLIS.
Anomalia Media Solh.
Sig. o.
Sig. I.
Gr.
o
Lun&.
Mot.Ayog.
Lima.
Retrog.
Motm Mediia
Lms.
Mot.Apog.
Lm&.
Mot. Nod.
Retrog.
S. 0, / //
0. f II
0. 1 II
0 3 4
068
0 9 11
0 12 15
0 15 19
S. 0. / //
0. / //
0. / //
I
2
3
4
5
6
7
8
9
lO
0 13 22 20
0 26 44 40
1 10 7 0
1 23 29 20
2 6 51 40
0 6 27
0 12 53
0 19 20
0 25 46
0 32 12
1 24 32 7
2 7 54 26
2 21 16 44
3 4 39 2
3 18 I 20
3 20 8
3 26 38
3 33 7
3 39 37
3 4^ ^
I 35 8
I 38 13
I 41 18
I 44 23
I 47 29
I 50 34
I 53 40
I 5d 45
1 59 50
2 2 56
2 20 14 0
3 3 36 20
3 l5 58 40
4021 0
4 13 43 19
0 38 38
0 45 5
0 51 32
0 57 58
1 4 25
0 18 22
0 21 26
0 24 29
0 27 33
0 30 37
4 1 23 3^
4 14 45 56
4 28 8 14
5 II 30 32
5 24 52 49
3 52 S6
3 59 7
4 5 37
4 12 8
4 18 38
II
12
13
15
4 27 5 39
5 10 27 59
5 23 50 19
6 7 12 38
6 20 34 58
I 10 52
I 17 IP
I 23 46
I 30 13
I 35 40
0 33 41
0 35 45
0 39 49
0 42 53
0 45 57
5 8 15 6
6 21 37 23
7 4 59 40
7 18 21 57
8 I 44 14
4 25 9
4 31 41
4 38 12
4 44 44
4 51 16
262
299
2 12 15
2 15 21
2 18 27
i6
17
18
19
20
7 3 57 18
7 17 19 38
8 0 41 58
8 14 4 18
8 27 26 37
I 43 7
1 4P 34
1 56 2
2 2 29
2 8 56
0 49 I
0 52 5
0 55 9
0 58 13
1 I 17
8 15 6 31
8 28 28 48
9 II 51 4
9 25 13 20
10 8 35 36
4 57 49
5 4 21
5 10 53
5 17 2d
5 24 0
2 21 33
2 24 40
2 27 47
2 30 54
2 34 0
21
22
23
24
25
9 10 48 57
9 24 II i6
10 7 33 35
10 20 55 54
11 4 18 13
2 15 23
2 21 51
2 28 19
2 54 47
2 41 15
I 4 22
I 7 26
I 10 31
I 13 35
I i5 39
10 21 57 52
11 5 20 8
II 18 42 24
0 2 4 40
0 15 26 55
5 30 33
5 37 7
5 43 41
5 50 16
5 5^ 50
2 37 7
2 40 15
2 43 22
2 4d 30
2 49 37
26
27
28
29
3c
II 17 40 32
0 I 2 52
0 14 25 II
0 27 47 30
III 9 48
2 47 44
2 54 13
3 0 41
3 .7 10
3 13 39
I 19 44
I 22 48
I 25 53
I 28 58
I 32 3
0 28 49 10
1 12 II 24
1 25 33 39
2 8 55 54
2 22 18 8
6 3 25
J 10 0
6 16 3d
5 23 12
6 29 48
2 52 45
2 55 53
2 59 0
3 2 8
3 5 16
MEDII MOTVS LVNM, JPOGEI ET NODORVM
AD GRADVS ANOMALIM MEDIM SOLIS.
Anomalia Mecfia Solis.
Sig. II.
Sig. III.
Gr.
o
I
ilfotw Medina
Afof. 4?o^.
Mot. Nod.
Motus Medius
Mot. Apog.
Mot. Nod.
Lun&.
LnvA.
Retrog.
Lima.
Luna.
Retrog.
S. 0. 1 ,1
0. 1 /1
0. J II
S. 0. / //
0. / //
<=>• 1 II
3 5 40 23
6 36 24
3 8 25
4 i^ 45 59
9 57 10
4 43 51
2
3 19 2 37
6 43 0
3 II 33
5087
10 3 57
4 47 5
3
4 2 24 51
6 49 37
3 14 42
5 13 30 14
10 10 45
4 50 18
4
4 15 47 4
6 56 15
3 17 51
5 2(5 52 22
10 17 33
4 53 32
5
6
4 29 9 16
7 2 52
3 21 0
6 10 14 29
10 24 21
4 56 46
5 12 31 31
7 9 30
3 24 10
6 23 36 37
10 31 9
500
7
5 25 53 44
7 16 8
3 27 19
7 ^ 58 43
10 37 58
5 3 15
«
6 9 r5 ')!
7 22 47
3 30 29
7 20 20 50
10 44 48
5 ^ 29
9
6 22 38 9
7 29 26
3 33 38
8 3 42 5^
10 51 37
5 9 44
lO
7 6 0 22
7 3^ 6
3 36 48
8 17 5 3
10 58 27
5 12 'i9
II
7 19 22 34
7 42 46
3 39 58
9 0 27 9
n 5 18
5 16 14
12
8 3 44 46
7 49 26
3 43 8
9 13 49 14
II 12 9
5 19 29
13
8 16 6 59
7 56 6
3 46 18
9 27 II 20
II 19 0
5 22 44
14
8 29 29 12
8 2 47
3 49 28
10 10 33 25
II 25 51
5 26 0
15
9 12 51 24
8 9 28
3 52 39
10 23 55 31
II 32 42
5 29 15
i6
9 25 13 35
8 16 9
3 55 50
II 7 17 35
II 39 34
5 32 31
17
10 9 35 46
8 22 50
3 59 I
II 20 39 40
II 45 27
5 35 47
18
10 22 57 56
8 29 32
4 2 12
0 4 , I 45
II 53 20
5 39 4
19
II 5 20 6
8 36 14
4 5 23
0 17 23 49
12 0 13
5 42 20
20
II 19 42 17
8 42 57
4 8 35
I 0 45 53
12 7 7
5 45 37
21
0 3 4 28
8 49 40
4 II 47
I 14 7 56
12 14 I
5 48 54
22
0 16 26 38
8 55 24
4 14 59
I 27 30 0
12 20 55
5 52 II
: 23.
0 29 48 48
9 3 7
4 18 10
2 10 52 4
12 27 50
5 55 28
24
I 13 10 57
9 9 51
4 21 22
2 24 14 7
12 34 45
5 58 45
25
I 26 33 7
9 16 36
4 24 35
3 7 35 10
12 41 40
6 2 3
26
2 9 55 16
9 23 21
4 27 47
3 20 58 14
12 48 36
6 5 20
27
2 23 17 24
9 30 6
4 31 0
4 4 20 17
12 55 32
5 8 38
28
.3 6 39 33
9 3^ 52
4 34 12
4 17 42 19
-13 2 28
6 IT 56
2P
3 20 I 42
9 43 38
4 37 25
5 I 4 21
13 9 24
5 15 14
30
4 3 23 51
9 50 24
4 40 38
5 14 26 24I13 1(5 2il(5 18 32 1
G S
1 ■
-f
MEDII MOWS LVNjE, AFOGEl ET N0D0RVM\
AD
GRADVS AN0M4L1AL MEDIAE SO LIS.
Anomalia Media Solis.
Slg. IV.
Sig. V.
Gr.
i1^of?« iWej?iJw
iWot. 4»o^.
^6t. iV^^i.
iMotzAs Medlus
Mot. Apog:
Mt>t. Noi.
Lurta,.
£?<»<«.
Retrog.
Luns..
Lvns.
Retrog. -
o
s.
0. ■ / //
0. / V/
0. 1 /1
S. 0. / //
°- 1 II
°- . / //
I
5
27 48 26
13 23 18
6 21 50
7 8 48 0
Id 54 14
8 2 d
2
6
II 10 27
13 30 16
d 25 9
7 22 9 57
17 I 20
8 5 28
3
^
24 32 28
13 37 14
6 28 27
8 5 31 54
17 8 25
8 8 51
4
7
7 54 29
13 44 13
6 31 46
8 18 53 51
17 15 31
8 12 13
5
7
21 16 30
13 51 12
6 35 5
9 2 15 48
17 22 37
8 15 35
6
8
4 38 31
13 58 10
5 38 24
9 15 37 45
17 29 44
8 18 58
7
8
18 0 32
14 5 9
6 41 43
9 28 59 41
17 3d 50
8 22 20
8
9
I 22 33
14 12 8
.5 45 3
10 12 21 37
17 43 57
8 25 43
9
9
14 44 34
14 19 9
d 48 23
10 25 43 33
17 51 4
8 29 5
lo
9
28 6 34
14 26 s
6 51 42
II 9 5 29
II 22 27 25
17 58 II
8 32 28
1 1
10
II 28 33
14 33 10
6 55 2
18 5 17
8 35 52
12
10
24 50 33
14 40 II
6 58 23
0 5 49 21
18 12 24
8 39 15
^3
II
8 12 33
14 47 II
7 I 42
0 19 II 17
18 19 31
8 42 38
14
II
21 34 32
14 54 12
7 5 3
I 2 33 14
18 2d 38
8 4d I
1 '>
0
4 56 31
15 I 14
7 8 23
I 15 55 10
18 33 4d
8 49 25
16
0
18 18 31
15 8 16
7 II 43
I 29 17 6
18 40 54
8 52 48
17
1
I 40 30
15 15 18
7 15 4
2 12 39 2
18 48 2
8 jd 12
18
I
15 2 29
15 22 21
7 18 25
2 26 0 58
18 55 10
8 59 35.
19
I
28 2-4 27
15 29 23
7 21 46
3 9 22 54
19 2 17
9 2 58.
20
2
II 46 26
15 36 26
7 25 7
3 22 44 50
19 9 25
9 d 22
21
2
25 8 25
15 43 29
7 28 29
4 6 6 46
19 Id 33
9 9 45.
22
3
8 30 23
15 50 33
7 31 50
4 19 2.8 41
19 23 41
9 13 9
23
3
21 52 21
15 57 36
7 35 1°
5 2 50 36
19 30 49
9 Id 32.
24
4
5 14 i^
16 4 40
7 38 32
5 Id 12 31
19 37 57
9 19 56
25
4
18 36 Id
16 II 44
7 41 53
5 29 34 2d
19 45 6
9 23 19
26
5
I 58 14
16 18 49
7 45 15
6 12 5d 21
19 52 14
9 2d 42
27
5
T5 20 12
16 25 55
7 48 37
d 2d 18 17
19 59 22
9 lo 6
28
5
28 42 5
16 32 58
7 51 59
7 9 40 13
20 6 30
9 33 29
29
d
12 4 d
1 5 40 3
7 55 21
7 23 2 8
20 13 38
9 3^ 53
30
6
25 26 3
16 47 8
7 58 43
8 d 24 4
20 20 47|9 40 Id j
MED II MOTVS LVNM, JPOGEI ET NODORVM
AD
G/l^Di;5 ANOMALIA M E D IJE: S 0 L I S.
Anomalia Media Solis.
Sig. VI.
Sig. Vll.
Gr.
Motus Meihis
Mot. Apog.
Mot. Nod.
Motm Medius
Mot. Jpng.
Mot. Nodi
Lwis.
LtHlA.
Retrog.
LvnA.
Linix.
Retrog.
o
s.
0. 1 II
0. / //
0. / //
s.
0. / //
0. / ;/
0. / //
I
8
19 46 0
20 27 55
94340
10
0 44 2
24 I 31
II 25 12.
2
9
3 7 n
20 35 4
947 3
10
14 5 59
24 8 36
ri 28 34,
3
9
16 29 51
20 42 12
9 50 26
10
27 27 56
24 15 41
II 31 55.
4
9
29 51 47
20 49 20
9 53 50
II
10 49 54
24 22 46
II 35 i^'
5
10
13 13 42
20 55 28
9 57 13
II
24 II 52
24 29 51
II 3839
6
10
2d 35 37
21 3 37
10 0 37
0
7 33 5c
24 36 55
ri 42 0
7
II
9 57 32
21 10 46
10 4 0
. 0
20 5-5 47
24 43 58
II 45 22.
8
II
23 19 28
21 17 54
JO 7 24
I
4 17 45
24 5 1' I
1 1 48 42 ■
9
0
6 41 24
21 25 I
10 10 47
I
17 3^ 43
24 58 5
II 52 4'
lO
0
20 3 19
21 32 9
10 14 10
2
I I 42
25 5 8
11 ^s 25
II
I
3 25 14
21 39 17
10 17 34
2
14 23 41
25 12 II
II 58 46
12
I
i5 47 10
21 46 24
,10 20 57
2
27 45 4,0
25 19 13
12 2 7
13
2
096
21 53 32
10 24 21
3
II 7 39
25 26 16
12 5 28
H
2
13 31 2
22 0 40
10 27 44
3
24 29 38
25 33 18
12 8 49
15
2
26 52 57
22 7 48
1031 7
4
7 51 37
25 40 20
12 12 9
i6
3
10 14 53
22 14 56
10 34 31
4
21 13 36
25 47 22
12 15 30
17
3
23 36 49
22 22 3
10 37 54
5
4 35 3 5
25 54 23
■12 185 0.
: lb
4
6 58 45
22 29 10
10 41 17
5
17 57 35
26 I 24
,12 22 9
19
.4
20 20 42
22 56 17
1 0 44 40
6
I 19 35
26 8 25
12 25 30,-
20
5
3 42 38
22 43 24
10 48 4
6
14 41 34
26 15 26
12 28 50
21
5
17 4 34
22 50 31
10 51 27
6
28 3 34
26 22 26
12 32 10
22
6
0 26 30
22 57 38
10 5449
7
II 25 35
26 29 25
12 35 2^
23
(5
13 48 26
23 4 44
10 58 12
7
24 47 36
2(5 36 25
12 38 49>
24
6
27 10 23
23 II 50
II I 34
8
8 9 37
26 43 24
,12 42 9
25
7
10 32 19
23 18 57
II 457
8
21 31 38
26 50 24
12 45 28
26
7
23 H 16
23 26 3
II 8 19
9
4 53 39
26 57 21
12 48 45
27
8
7 i^ 13
^3 33 9
11 II 41
9
1-8 15 40
27 4 20
12 53 5
2J^
8
20 38 10
23 40 15
II 15 4
10
I 57 41
27 II 18
12 55,14
29
9
408
23 47 20
II 18 26
10
14 59 42
27 18 16
12 58 42':
■ 30
9
17 22 5
23 54 26
II 21 49II10
28 21 44
27 25 13
13 2 G-
MEDll MOTVS LVNjEy JP06EI ET NODORVM
AD GRADVS ANOMJLIuE MEDIM SOLIS.
Anomalia Media Solis.
Sig. VIII.
Sig. IX.
Gr.
Afot!« Medius
Lwtd.
iJfot. Jpog.
Mot. Nod.
Retrog.
Motiii Medius
Mot, ^pog.
Liin&.
Mot. Nod.
Retrog.
o
S, 0. / //
S. 0. , 1,
0. / II
S. 0. / //
s.
°- / //
°- / //
1
2
3
4
5
II 1 1 43 47
II 25 5 49
0 8 27 51
0 21 49 54
1 5 II 57
0 27 32 10
0 27 S9 7
0 27 46 3
0 27 52 ^9
0 27 59 54
15 5 18
13 8 36
13 II 54
13 ij 12
13 18 30
0 22 46 26
1 6 834
1 19 30 43
2 2 52 52
2 16 15 I
0 57 57
1 443
I II 28
I 18 13
I 24 58
1443 7
14 46 20
1449 33
14 52 45
1455 57
6
7
8
9
1 18 34 0
2 156.3
2 15 18 7
2 28 40 II
3 12 2 15
028 d 49
0 28 13 44
0 28 20 ^p
0 28 27 33
0 28*34 27
13 21 47
13 25 4
13 28 21
13 31 38
13 34 55
2 29 37 II
3 12 59 20
3 2(5 21 30
4 9 43 40
423 551
I 31 43
I 3827
I 45 10
I 51 54
I 58 37
14 59 10
15 2 22
15 5 34
15 8 46
15 11 58
II
12
13
14
15
3 25 24 19
4 8 45 23
422 828
5 5 3033
5 18 52 38
0 28 41 21
0 28 48 14
0 28 55 7
0 29 2 0
0 29 8. 52
13 38 12
13 41 29
13 4445
13 48 I
13 51 17
56281
5 iP 50 II
6 3 12 22
5 16 3433
6 29 5644
2 5 20
2 12 2
2 18 44
2 25 26
2 32 7
15 15 9
15 18 20
15 21 31
1 5 24 42
15 27 53
\6
I?
i8
'\9
20
6 2 1443
6 1$ ^6 /^i
6 28 58 54
7 12 20 59
7 25 43 5
0 29 15 44
0 29 22 35
0 29 29 26
0 29 36 16
0 29 43 7
13 54 3^
13 57 48
14 I 3
14 419
14 7 34
7 13 iS 56
7 26 41 8
8 10 3 21
8 23 25 33
9 64745
2 3848
2 45 28
2 52 8
•2 5848
3 5 28
15 31 4
15 34 14
15 37 24
15 4° 34
15 43 44
21
22
23
24
25
8 9 512
8 22 27 18
9 5 49 25
9 19 II 31
10 2 33 38
0 29 49 57
0 29 56 46
1 0 3 36
I 0 10 25
I 0 17 13
14 10 49
14 14 3
14 17 17
14 20 32
14 23 46
920 9 58
10 3 32 IC
10 16 54 2-,
11 0 16 3t
II 13 384c
3 12 8
3 1847
3 25 26
3 32 4
3 3842
15 46 54
15 50 4
15 53 13.
15 56.22
15 59 32
26
-27
28
29
30
10 15 55 45
10 29 17 53
11 12 40 I
II 2(5 2 9
0 9 24 17
I 0 24 I
I 0 30 40
I 0 37 37
I 0 44 24
I 0 51 II
14 27 0
14 30 14
14 33 27
14 35 41
14 39 54
II 27 I 3
0 10 23 It
02345 5c
1 7 743
I' 20 30 c
3 45 19
3 51 57
3 5834
4 5 II
411 47
16 2 41
16 5 50
16 8 59
16 12 8
16 15 16
MEDll MOTVS LVNMy JP06EI ET NODORVM
AD GRADVS ANOMALIM MEDIM SOLIS.
Anomalia Media Soils.
Sig. X.
Sig. XI.
Gr.
Motus Medius
Lints.
Mot. Jpog.
Lima.
Mot. Nod.
Retrog.
Motia Medim
Lwi<s.
Mot. Jpog.
Luna.
Mot. Nod.
Retvog.
o
S. 0. / //
?' 0. / //
0. 1 II
S. 0. / //
^. 0. / //
°- 1 II
I
2
3
4
5
2 3 52 14
2 17 14 29
3 0 36 44
3 13 58 58
3 27 21 15
I 4 18 23
I 42458
I 4 31 34
I 438 5>
I 4 44 44
x6 18 24
\6 21 32
16 24 39
\6 27 47
\6 30 55
3 15 0 38
3 28 22 57
4 XI 45 16
425 7 35
5 8 29 54
I 73425
I 7 40 53
I 7 47 21
I 7 53 50
I' 8 0 19
17 51 34
17 54 39
17 57 44
18 048
18 3 53
6
7
8
9
lo
4 10 43 28
424 544
5 728 0
5 20 50 16
6 4 12 32
I 451 18
I 4 57 53
I 5 427
I 5 II 2
I 5 17 35
1634 3
\6 37 10
I <5 40 17
1643 25
16 46 32
5 21 52 13
6 5 14 32
6 18 36 51
7 I 59 10
7 15 21 30
I 8 647
I 8 13 15
I 8 19 43
I 8 26 II
I 8 32 39
18 6 57
18 10 2
i8 13 6
18 16 10
18 19 15
II
12
13
14
. 15
6 17 34 48
7 0 J7 4
7 14 ip 20
7 27 41 37
8 II 3 54
I 5 24 8
I 5 30 41
I 5 37 H
I 5 43 46
I 5 50 19
16 49 39
16 52 45
16 55 51
16 58 59
17 2 5
7 28 43 45
81269
8 25 28 30
9 8 50 50
9 22 13 10
I 8 39 6
I 8 45 33
I 8 52 I
I 85828
I 9 4 54
18 22 19
18 25 24
18 28 28
18 31 32
18 34 35
16
17
18
19
20
8 24 26 II
9 7 48 28
921 10 45
lo 433 2
10 17 55 19
I 5 56 51
I 6 3 22
I 6 9 53
I 6 16 25
I 6 22 56
17 5 12
17 8 17
17 II 23
17 14 30
17 17 35
10 5 35 30
10 18 5749
11 2 20 9
ri 15 42 29
1 1 29 4 49
I 9 II 21
I 9 17 48
I 9241J
I 9 30 42
I 9 37 9
18 37 39
18 40 43
184347
1846 51
18 49' 5 5
21
! 22
! 23
24
; ^5
II I 17 36
II 14 39 54
II 28 2 12
0 II 24 30
0 24 46 48
I d 29 26
I 6 35 57
I 6 42 27
I 6 48 58
I 6 55 28
17 20 42
17 23 47
17 26 53
17 29 58
17 33 4
0 12 27 S
0 25 49 28
1 9 II 48
1 22 34 8
2 5 56 28
I 9 43 36
I 9 50 2
I 9 56 29
I 10 2 56
I 10 9 22
18 52 59
1856 3
18 59 6
19 ^10
19 5 13
; 26
' 27
- 28
29
; 30
189-6
1 21 31 24
2 4 53 42
2 18 16 I
3 I 38 20
I 7 I 58
I 7 8 28
I 7 1457
I 7 21 27
I 7 27 56
17 36 9
17 39 14
17 42 20
17 45 25
17 48 50
2 19 18 48
3 2 41 S
3 16 3 28
3 29 25 48
4 12 48 8
I 10 15 49
I 10 22 15
I 10 28 42
I 10 35 8
I 10 41 34
19 8 18
19 ir 21
T9 14 25
19 17 ?9
19 20 32
H h
MEDJI MOTVS LVNM, JPOGEI ET NODORVM
AD MINVTA ANOMALIM MEDIM SOLIS.
jjfot. iW^i.
Jpogei
illottM
Amm.
Mot. Mel Apogei '
iMotaa
IbT.
Ltin^.
Lims,.
Noi. ).
Solk.
Ten.
Sec.
Luna.
Um&.
iV^o<f. ».
11 /n nil
II III nil
// /// ////
II III nil
II ni nil
// /// ////
Sec.
1 II III
1 II III
/ // ///
1 II III
1 u in
/ // ///
Mm.
o
0. 1 II
0. / //
0. A //
Mtn.
30
31
0. / //
0. 1 II
o- / /^
000
00 0
000
tf 41 4
0 3 23
0 I 37
0 13 22
007
003
6 54 26
0 3 30
0 I 40
2
0 26 44
0 0 14
006
32
7 7 4^8
0 3 37
0 I 43
^
0 40 6
0 0 20
0 0 10
33
7 21 10
0 3 44
6 I 46
4
0 53 29
0 0 27
0 0 13
34
7 34 33
0 3 51
0 I 50
5
I 6 51
0 0 34
0 0 16
35
36
7 47 55
0 3 57
0 I 53
I 20 13
0 0 41
0 0 19
8 I 17
044
0 I 56
7
I 33 35
0 0 47
0 0 23
37
8 14 3P
0 4 11
0 I 59
8
I 46 57
0 0 54
0 0 26
3«
8 28 I
0 4 r8
02.2
9
2 0 19
0 I I
0 0 29
39
8 41 23
0 4 24
02 6
lo
2 13 41
0 I 8
0 0 32
40
8 54 45
0 4 31
029
II
2 27 3
0 I 15
0 0 35
41
9 8 7
0 4 38
0 2 12
12
2 40 26
0 I 21
0 0 39
42
9 21 30
0 4 45
0 2 15
13
2 53 48
0 I 28
0 0 42
43
- 9 34 52
0 4 52
021^
14
3 7 10
0 I 3J
a 0 45
. 44
9 48 14
0 4 58
0 2 22
15
3 20 32
0 I 4.2
0 0 48
45
10 I 36
0 5 5
0 2 25
i6
3 33 54
0 I 49
0 0 52
46
10 14 58
0 5 12
0 2 28
I?
3 47 16
0 I 55
0 0 55
47
10 28 20
0 5 19
0 2 32
i8
4 0. 38
022
0 0 58
48
10 41 42
0 5 ^6
0 2 35
iP
4 14 1
029
01 I
49
10 55 5
0 5 32
0 2 38
20
21
4 27 23
0 2 16
0 I 4
0 I 8
50
51
II 8 27
0 5 39
0 2 41
4 40 45
0 2 22
II 21 49
0 5 46
0 2 44
2 2
4 54 7
0 2 29
0 I II
52
II 35 II
0 5 53
0 2 48
21?
5 7 29
0 2 36
a I 14
53
11 48 33
0 5 5^
0 2 51
24
5 2a 51
0 2 43
0 I 17
54
12 1 55
Q 6 &
0 2 54
25
5 34 15
0 2 50
0 I 21
55
12 15 17
0 <5 13
0 2 57
26
5 47 3 5
0 2 56
0 I 24
56
,12 28 39
0 6 20
031
27
6 0 58
0 3 3
0 I 27
57
12 42 2
0 6 27
0 3 4
28
6 14 20
0 3 10
0 I 30
5«
12 55 24
0 6 33
0 3 7
2P
6 27 42
0 3 17
0: I 33
59
13 8 46
0 d 40
0 3 10
30
6 41 4
0 3 23
0 I 37
60
,13 22 8
0 6 47
0 3 13
TABVLA MEDII MOTVS hV N M, A FOG EI ET
NODORVM AB jEQVINOCTIO, AC LVNAL A SOLE.
IN CENTVRIIS ANNORVM ANO MALIST ICO RV M.
Annh
Motm Meiuis
Motus Apogei
IMus Lim& a
Ano-
mali-
fikh.
Lwta.
Luna.
Luna Retrog.
Sole.
S. 0. / //
S. 0. 1 II
S. 0. / ji
S. 0. 1 It
loo
10 20 13 25
3 19 17 30
4 14 14 10
10 18 32 18
200
9 10 ^6 50
7 8 35 0
, 8 28 28 20
9 7 4 37
300
8 0 40 15
10 27 52 30
I 12 42 30
7 25 3^ 5 5
400
6 20 53 40
a- 17 10 0
i' 26 55 40
6 14 p ij
500
J II 7 5
6 6 27 30
10 II 10 Jo
5 2 41 32
600
4 I 20 30
P 25 45 0
2 25 25 0
3 21 13 50
700
2 21 33 55
I 15 2 30
7 9 3P 10
2 p 46 8
800
I w /if] 7.0
5 4 20 0
II 23 53 20
0 28 18 27
poo
0. 2 0 45
8 23 37 30
4 8 7 30
1 1. 16 50 45<
1000
10 22 14 10
0 12 55 0
8 22 21 40
10 5 23 3
1 100
9 12 27 35
4 2 12 30
I 6 35 50
8 23 55 22
1200
8 2 41 c
7 21 30 0
: 5 20 50 0
7 12 27 40 :
1300
6 22 54 25
II 10 47 30
10 5 4 10
5 0 5P 5-8
1400
5: 13 7 50
3050
2 ip 18 20
4 19 32 17
15:00
4 3 21 15
6 ip 22 30
7 3 32 30
3 8 4 35:
i5oo
2 23 34 40
10 8 40 0
II 17 46 40
I 25 36 53
1700
I 13 48 5
I 27 57 30
4 2 0 50
0 ij p 13
1800
0 4 I 30
5 17 I) 0
8 i<5 15 0
II 3 41 3-0 :
ipoo
10 24 14 55
p 6 32 30
I 0 2p 10
P 22 13 48
2000
P 14 28 20
0 25 50 0
• 5 14 43 20
8 10 46 7
2100
8 4 41 45
4 15 7 30
9 28 57 30
6 2p 18 25
2200
6 24 55 10
8 4 25 0
2 13 II 40
5 17 50 43.
2300
5 15 8 35
II 23 42 30
6 27 25 50
4 6 23 3
2400
4 5 22 0
3 13 0 0
II II 40 0
2 24 55 20
2500
2 25 35 25
7 2 17 30
3 25 54 10
I 13 27 38 ■
2600
I 15 48 50
10 21 35 0
8 10 8 20
0 I 59 57
2700
0 6 2 15
' 2 10 52 30
0 24 22 30
10 20 32 15
2800
10 26 15 40
6 0 10 0
5 8 35 40
9 9 4 33.
25100
p 16 2p 5
9 19 27 30
p 22 50 50
7 27 35 52 ■
3000
8 6 42 30
I 8 45 0
2750
6 16 p IQ
3100
6 26 55 55
4 28 2 30
6 21 ip 10
5 4 41 '-'§•
,3200 5 17 9 20I
8 17 20 0
II 5 33 20I 1
3 23 13 47':
EPOC HJL MEDIO RV M MOTVV M L V N JE
Et Apogei ejus. Amis JuUanu ineuntibm.
Anttis
JulJ-
atiis
Lum ab jE^ui-
/^^(7^. Luff^ ab
Amis
JuU-
anis
Lum ab Mc[ui.
^/'og'. LtifJig ab
fioSiio.
jEquinoSiio.
noci'to.
JE.(j^uino£tio.
tibiis.
S. 0. / //
S. 0. 1 //
tibus.
1696
S. 0. 1 il
S. 0. , //
I 18 II 50
5 0 39 30
023 32
4 14 47 ^6
6z
5 27 34 53
d II 19 21
91
4 M 37 II
5 25 33 57
6^
10 6 57 57
^ 21 59 II
98
9.4 014
7 <5 13 48
64
2 16 21 0
9 2 39 2
99
I 13 23 18
8 16 53 38
1665
1666
7 8 54 39
10 13 25 33
1700
1701
5 22 46 21
9 27 33 29
II 18 17 42
II 24 5 24
10 15 20 0
II 8 20 0
67
3 27 40 46
I 4 45 14
2
2 24 43 3
0 18 59 51
68
8 7 3 49
0 29 37 28
2 I s; 2 ^ 5
2
7457
II 13 29 10
I 29 39 41
3 10 19 32
69
3 25 II 36
4
1670
1671
5 9 0 31
5 6 51 27
1705
1706
4 6 2'/\.9
4 21 6 3
9 18 23 35
6 17 31 17
8 15 25 52
6 I 45 54
72
I 27 46 38
7 28 II 8
7
0 24 48 56
7 12 25 44
73
6 20 20 17
9 8 57 39
8
5 4 II 59
8 23 5 35
74
10 29 43 .20
10 19 37 30
. 9
9 26 45 38
10 3 52 ^
1675
1676
3 9 6 24
0 0 17 20
1710
1711
2 6 8 41
II 14 31 57
7 18 29 27
I 10 57 II
6 15 31 45
0 25 II 47
77
0 II 3 6
2 21 43 42
12
10 24 54 4b
2 5 51 58
78
4 20 25 9
4 2 23 33
13
3 17 28 27
31^ 38 9
19
8 29 49 13
5 13 3 23
14
7 26 51 30
4 27 18 0
1680
• 1681
I 9 12 16
6 23 43 14
1715
1716
0 5 14 34
6 7 57 50
6 I 45 55
8 4 29 45
4 15 37 37
7 18 37 41
82
10 II 8 58
9 15 9 36
17
9 8 II 16
8 29 24 12
8^
2 20 32 2
10 25 49 26
18
1 17 34 19
10 10 4 3
84
6 29 55 5
0 6 29 17
19
5 26 57 23
II 20 43 53
1685
1686
II 22 28 44
I 17 15 48
1720
1721
10 6 20 26
I I 23 44
4 I 51 47
2 27 55 39
2 28 54 5
2 12 10 15
87
8 II 14 51
4 8 35 29
22
7 8 17 8
3 22 50 6
88
0 20 37 54
5 19 15 20
23
II 17 40 12
5 3 29 55
89
5 13 II 33
7 0 I 51
24
3 27 3 15
6 14 9 47
; 1690
9 22 34 36
8 10 41 42
1725
8 19 36 54
7 24 56 18
■ 1691
2 I 57 40
9 21 21 32
1726
0 28 59 57
9 5 3^ 9
, 92
6 II 20 43
II 2 I 23
27
5 8 23 I
10 i5 15 59
93
II 3 54 "
0 12 47 54
28
9 17 45 4
II 25 55 50
9^
1695
\ 3 13 17 25
I 23 27 45
29
2 10 19 43
I 7 42 21
7 22 40 29
3 4 7 35
1730
6 19 42 46
2 18 22 12
EPOCHAL MEDIORVM MOTVVM LVNM
Et Apogei ejus. Annis Jtilianu inemfdm.
Annis
yuiz-
unis
ifteun..
tibus.
1731
32
33
34
1735
1736
37
38
39
1740
1 741
42
43
44
1745
1746
47
48
49
1750
1751
52
53
54
1755
1756
57
58
59
1760
1761
62
63
64
1765
Lum ah Mqui-
noUio.
A^og. Lun£ ah
JEq^uinoSiio.
Amis
Juli-
anis
iiieun-
tibus.
1766
67
68
69
1770
1771
72
73
74
1775
1776
77
78
79
1780
1781
82
83
1785
1786
87
88
89
1790
1791
92
93
94
1795
1796
97
98
99
1800
Luna ah Mq^ui-
noStio.'
A^og. 'Lun£ ah
JEqaino^io.
S. 0. / //
S. 0. 1 II
•5'. 0. / //
9 26 8 7
2 5 31 II
6 14 54 14
II 7 27 53
3 16 50 56
S. 0. 1 II
10 29 5 50
3 8 28 53
8 I 2 32
0 10 25 35
4 19 48 39
3 29 2 2
5 9 41 53
6 20 28 24
8 I 8 15
9 II 48 5
3 13 i<^ 39
4 23 56 29
6 4 36 20
7 15 22 51
8 26 2 42
8 29 II 42
1 21 45 21
6 I 8 24
10 10 31 28
2 19 54 31
10 22 27 56
0 3 14 27
1 13 54 18
2 24 34 8
4 5 13 59
7 26 14 0
0 5 37 3
4 28 10 42
9 7 33 45
1 16 56 49
10 6 42 32
11 17 22 23
0 28 8 54
2 8 48 45
3 19 28 35
7 12 28 10
II 21 51 13
4 I 14 17
8 10 37 20
I 3 10 59
5 16 0 30
6 26 40 21
8 7 20 II
9 18 0 2
10 28 46 33
5 26 19 52
10 18 53 31
2 28 16 34
7 7 39 38
11 17 2 41
5 0 8 26
6 10 54 57
7 21 34 48
9 2 14 38
10 12 54 29
5 12 34 2
9 21 57 6
2 I 20 9
6 23 53 48
II 3 16 51
0 9 26 24
1 20 6 14
3 0 46 5
4 II 32 36
5 22 12 27
4 9 36 20
8 18 59 23
0 28 22 27
5 7 45 30
10 0 19 9
II 23 41 0
I 4 20 51
215 0 41
3 25 40 32
5 6 27 3
3 12 39 55
7 22 2 58
0 14 36 37
4 23 59 40
9 3 22 44
7 2 52 17
8 13 32 8
9 24 18 39
II 4 58 30
0 15 38 20
2 9 42 12
6 19 5 16
10 28 28 19
3 21 I 58
8 0 25 I
6 17 6 54
7 27 46 44
9 8 26 35
10 19 13 <5
11 29 52 57
1 10 32 47
2 21 12 38-
4 I 59 9
5 12 39 0
6 23 18 50
1 12 45 47
6 5 19 26
10 14 42 29
2 24 5 33
7 3 28 36
I 26 18 II
3 7 4 42
4 17 44 33
5 28 24 23
7 9 4 14
0 9 48 5
4 19 II 8
9 II 44 47
1 21 7 50
6 0 30 54
II 26 2 15
4 5 25 18
8 14 48 22
0 24 II 25
5 16 45 4
8 19 50 45
10 0 30 36
11 II 10 26
0 21 50 17
2 2 36 48
10 9 53 57
3 2 27 36
7 II 50 39
11 21 13 43
4 0 36 46
8 3 58 41
9 14 45 12
10 25 25 3
0 6 4 53
1 i^ 44 44
I i
EPOCHAL MOTVS NODI JSCENDENTIS LV N M
Amu Julianis inemtihii&.
A71VIS
Jrdi.
anis
\rodusJJfcend.
ab JEquinoQ,
J^^^ ab^quinoB.
i'lf Nodus-yAfcend.
2" ab^quinoa.
t'lbus.
s. 0. 1 It
tibus.
S. 0. / //
tibiis.
S. 0. 1 It
tibus.
S. 0. t //
1661
6 21 3 50
1696
B 4 817
1731
9 ^1 9 33
1766
II 0 1 0 49
6z
6 I 44 7
97
7 1445 23
32
8 27 49 50
67
10 10 51 6
6%
5 12 2424
98
625 25 40
33
8 8 26 56
68
9 21, 31 23
64
423 441
99
6 6 5 57
34
7 19 7 13
69
9 2 8 29
1665
4 3 41 47
1700
5 16 46 14
1735
6 29 47 30
1770
8 12 48 46
1666
3 1422 4
1701
42723 20
1736
6 10 27 47
1771
7 23 29 3
67
225 221
2
4 8 3 37
37
5 21 4 53
72
7 4 9 20
68
2 5 4^ 38
• 3
3 1843 54
38
5 I 45 10
73
6 14 46 26
69
I 16 19 44
4
2 29 24 II
39
4 12 25 27
74
5 25 2643
1670
0 27 0 I
1705
2 10 I 17
1740
323 5 44
1775
5670
1671
0 7 40 1 8
1706
I 2041 34
1741
3 3 42 50
1776
41647 17
72
II 18 20 35
7
I X 21 51
42
2 1423 7
77
3 27 24 23
7?
10 28 57 41
8
0 12 2 8
43
I 25 3 24
' 78
3 8 4 40
74
10 9 37 58
9
II 22 39 14
44
I 5 43 41
79
2 18 44 57
i<575
9 20 18 15
1710
II 3 19 31
1745
0 16 20 47
1780
I 29 25 14
1676
9 0 58 32
1711
10 13 59 48
1746
II 27 I .4
1781
I 10 2 20
77
8 II 35 38
12
9 24 40 5
47
H 741 21
82
0 20 42 37
78
7 22 15 55
13
9 5 17 II
48
ro 18 21 38
83
0 I 22 54
19
7 2 56 12
14
8 15 57 28
49
9 28 58 44
84
II 12 3 II
1680
6 13 36 29
1715
7 26 3745
1750
9 9 39 I
1785
10 22 40 17
1681
5 24 13 35
1716
7 718 2
1751
8 20 19 18
1786
10 3 20 34
82
5 4 53 52
: 17
6 17 55 8
52
8 0 59 35
87
9 14 051
S^i
4 15 34 9
18
5 28 35 25
53
7 II 3641
88
8 24 41 8
84
3 26 14 26
19
5 915 42
54
6 22 16 58
89
8 5 18 14
1685
3 6 51 32
1720
4 19 55 59
1755
6 2 57 15
1790
7 15 58 31
1686
2 17 31 49
I72I
4 ° 33 5
1756
5 13 37 3?-
1791
6 26 38 48
87
I 28 12 6
22
3 II 13 22
57
4 24 14 38
92
6 7 19 5
88
1 8 52 23
. 23
2 21 53 39
58
4 4 54 55
93
5 17 56 II
89
0 19 29 29
24
2 2 33 56
59
3 15 35 12
94
428 36 28
169c
0 0 9 46
1725
I 13 II 2
1760
2 26 15 29
1795
4 9 1645
1 65? I
II 10 50 3
1726
0 25 51 19
1761
2 6 52 35
1796
3 19 57 2
92
10 21 30 20
27
0 431 36
62
I 17 32 52
97
3 034 8
P3
10 2 7 26
. 2^
II 15 II 53
63
0 28 13 9
98
2 II 14 25
9A
9 12 47 43
29
10 25 48 59
64
0 8 5.3 26
99
I 21 5442
116951 8 23 28 0
1730I10 6 29 16
I765JII 19 30 32
.1800
I 2 34 59
MEDII MOTVS LTiNM, JPOGEI ET NODORVm\
EJVS AD DIES MENSIVM.
Die
Men-
J A N U A R I I.
FEBRUARII.
Motus Melius
Motus
iJfot. iV^otZ.
Motus Medius
Motus
Afot. Nod.
Lm&.
Jpogez.
Retrog.
Luna.'
^pogei.
Retrog.
fs.
S. 0. i II
0. , //
0. 1 II
S. 0. / //
°- 1 II
°- 1 II
I
0 13 10 35
0 6 41
0 3 II
2 I 38 41
3 33 54
I 41 41
2
0 2d 21 10
0 13 22
0 6 21
2 14 49 16
3 4° 35
I 44 52
3
1 9 31 45
0 20 3
0 9 32
2 27 59 51
3 47 16
I 48 2
4
1 22 42 20
0 26 44
0 12 43
3 II 10 26
3 53 57
I 51 13
5
6
2 5 52 55
0 33 25
0 I J 53
3 24 21 I
4 0 37
I 54 24
2 19 3 30
0 40 6
0 19 4
4 7 31 36
4 7 18
I 57 34
7
3 2 14 5
0 46 47
0 22 14
4 20 42 II
4 14 0
2 0 45
8
3 15 24 40
0 53 29
0 25 25
5 3 52 46
4 20 41
2 3 55
9
3 28 35 15
1 0 10
0 28 36
5 17 3 21
4 27 22
2 7 d
lo
II
4 II 45 50
I 6 51
0 31 46
6 0 13 56
4 34 3
2 10 17
4 24 56 25
I 13 32
0 34 57
6 13 24 31
4 40 44
2 13 27
12
5870
I 20 13
0 38 8
6 26 35 6
4 47 25
2 16 38
13
5 21 17 35
I 25 54
0 41 18
7 9 45 41
4 54 ^
2 19 49
14
6 4 28 10
I 33 35
0 44 29
7 22 56 16
5 Q 47
2 22 59
15
6 17 38 45
I 40 16
0 47 40
8 d 6 51
5 7 28
2 2(5 10
16
7 0 49 20
I 4^ 57
0 50 50
8 19 17 26
5 14 9
2 29 21
17
7 13 59 55
I 53 38
0 54 I
9 2 28 I
5 20 50
2 32 31
IH
7 27 10 30
2 0 19
0 57 12
9 15 38 36
5 27 31
2 3 5 42
19
8 10 21 5
2 7 0
I 0 22
9 28 49 II
5 34 12
2 38 53
20
21
8 23 31 40
2 13 41
I 3 33
10 II 59 46
5 4° 54
2 42 3
9 6 42 15
2 2Q 22
I 6 43
10 25 10 21
5 47 3 5
2 45 14
22
9 19 52 50
2 27 3
I 9 54
II 8 20 5<5
5 54 16
2 48 24
23
10 3 3 25
2 33 45
I 13 5
II 21 jr 31
5 0 57
2 51' 35
24
10 16 14 0
2 40 26
I 16 15
0 4 42 6
6 7 38
2 54 45
25
26
10 29 24 36
2 47 7
I 19 26
0 17 52 41
1 I 3 16
5 14 19
2 57 56
II 12 35 II
2 53 48
I 22 37
6 21 0
3 I 7
27
II 25 45 46
3 0 2p
I 25 47
I 14 13 51
6 27 41 3 4 18
28
29
0 8 56 21
0 22 6 56
3 7 i'^
3 13 51
I 28 58
I 32 9
I 27 24 26
6 34 22 3 7 28
30
I 5 17 31
3 20 32
I 35 19
In Anm BiiF^xtili pfl Februarium
adde-umw diei molHw.
31
I 18 28 6
3 27 13
I 38 30
MEDII MOTVS LVNM, JPOGEI ET NODORVM]
£3ri;5 ^D D/£5 ME NS IV M.
Die
Mav-
M A R T I I.
A P R I L I S.
iMbf?« iJfeizKf
Motus
Mot. Nod.
Motus Medius
Motus
Mot. Nod.
£»H«.
Ayogei.
Retrog.
Zz/«(8.
Apogei.
Retrog.
Js.
S. 0. / //
0. /' //
0- / //
s.
o- y //
0. / ;/
°- J II
I
2 10 35 I
641' 4
3 10 39
3
29 3 7
10 8 17
^ 49 9
2
2 23 45 36
^47 45
3 13 49
4
12 13 42
10 14 58
4 52 19
3
3 (5 56 II
6 5426
3 17 0
4
25 24 17
10 21 39
4 ^1 30
4
3 20 6 46
7 I 7
3 20 II
5
8 34 52
10 28 20
4 58 41
5
4 3 17 21
7 748
3 23 21
5
21 45 27
10 35 1
5 I 51
6
4 16 27 57
7 1429
3 2d 32
d
4 5d 2
10 41 42
5 52
7>
4 25> 38 32
7 21 10
3 29 43
6
18 d 37
10 48 24
5 8 12
8
J 12 49 7
7 27 51
3 32 53
7
I 17 12
10 55 5
5 II 23
^
5 25 5^ 42
7 34 32
3 3^ 4
7
14 27 47
II I 4d
5 14 34
10
6 9 10 17
741 13
3 39 14
7
27 38 22
II 8 27
5 17 44
II
6 22 2D 52
7 47 54
3 42 25
8
10 48 57
II 15 8
5 20 55
12,
7 5 31 27
7 54 35
3 45 36
8
23 59 32
II 21 49
5 24 6
13
7 18 42 2
8 I 17
3 48 46
9
7 10 7
II 28 30
5 27 Id
14
8 I 52 37
8 758
3 51 57
9
20 20 42
II 35 II
5 30 27
15
8 15 3 12
8 1439
3 55 8
10
3 31 17
II 41 52
5 33 38
16
8 28 13 47
8 21 20
3 58 18
10
Id 41 52
II 48 33
5 36 48
17
9 II 24 22
8 28 I
4 I 29
10
29 52 27
II 55 14
5 39 59
18
9 24 -34 57
8,3442
4 4 40
II
13 3 2
12 I 55
5 43 9
19
10 7 45 32
841 23
4 7 50
II
2d 13 37
12 8 3d
5 4d 20
20
10 20 56 7
848 4
4 II 1
0
9 24 12
12 15 17
5 49 31
21
II 4 6 42
8 54 45
4 14 12
0
22 34 47
12 21 59
5 52 41
22
II 17 17 17
9 I 26
4 17 22
.1
5 45 22
12 28 40
5 55 52
23
0 0 27 52
9 8 7
4 20 53
I
18 55 57
T2 35 21
5 S9 3
24
0 13 38 27
9 1448
4 23 43
2
2 d 32
12 42 2
6 213
25
0 26 49 2
9 21 29
4 26 54
2
15 17 7
12 48 43
6 5 24
26
I 9 59 37
9 28 10
4 30 5
2
28 27 42
12 55 24
6 8 35
27
I 23 10 12
9 34 51
4 33 15
3
II 38 17
13 2 5
6 II 45
; 28
2 d 20 47
941 33
4 3<5 26
3
24 48 52
13 846
6 14 56
29
2 19 31 22
9 48 14
4 39 37
4
7 59 27
13 15 27
d 18 d
30
3 2 41 57
9 54 55
4 42 47
4
21 10 2
13 22 8
d 21 17
: 31
3 15 52 32
10 I 3d
4 45 58
MEDII MOTVS LVNM, JPOGEI ET NODORVM
EJVS AD DIES MENSIVM.
MAIL
J U N I I.
Die
Men-
Its.
/fote Mvdius
mtus
Mot. Nod.
iyo*«« iffeifra
Motm
Mot. N0.I
Ltiiis.
Jpogei.
Retrog.
0- 1 II
6 24 28
Lm&.
^pogei.
Retrog.
S. 0. , II
C. 1 II
S. 0. / //
0. / //
0. / /y
I
5 4 20 37
13 28 49
6 22 48 43
16 56 2
8 2 58
2
5 17 31 12
13 35 30
6 27 38
7 5 59 18
17 243
8-6 8
3
6 0 41 48
13 42 II
6 30 49
7 iP 9 53
17 9 24
8 9 19
4
6 13 52 23
13 48 52
6 34 0
8 2 20 28
17 16 5
8 12 30
5
6 27 2 58
13 55 33
6 37 10
(5 40 21
8 15 31 3
17 22 46
8 15 40
6
7 10 13 33
14 2 14
8 28 41 38
17 29 27
8 18 51
7
7 23 24 8
14 8 56
^ 43 31
9 II 52 13
17 3^ 9
8 22 I
8
8 6 34 43
14 15 37
5 46 42
9 25 2 49
1742 50
8 25 12
9
8 19 45 18
14 22 18
^ 49 53
10 8 13 24
1749 31
8 28 23
lO
II
9 2 55 53
14 28 59
6 53 3
5 56 14
10 21 23 59
17 56 12
8 31 33
9 16 6 28
14 35 40
II 4 34 34
18 2 53
8 34 44
12
9 29 17 3
H42 21
6 59 25
II 17 45 9
18 9 34
8 37 55
13
10 12 2.7 38
1449 2
7 2 35
0 0 55: 44
18 16 15
8 41 5
: H
10 25: 38 13
14 5 5 43
7 5 46
0 14 6 19
18 22 56
8 44 16
15
11 8 48 48
15 2 24
7 8 57
0 27 \6 54
18 29 37
8 47 27
x6
II 21 59 53
15 9 5
7 12 7
I. 10 27 29
18 36 18
8 50 37
' 17
0595^
15 15 46
7 15 18
I 23 38 4
1842 59
8 53 48
i8
0 18 20 33
15 22 27
7 18 28
2 6 48 39
18 49 40
8 56 58
19
I I 51 8
15 29 8
7 21 39
2 19 59 14
18 56 21
909
20
I 14 41 43
15 35 49
7 24 50
7 28 0
- 3 3 9 49
19 3 2
9 3 20
21
I 27 52 18
15 42 31
3 16 20 24
19 944
9 6 3Q
22
2 II 2 53
15 49 12
7 31 II
3 29 30 59
19 16 25
9 9 41
23
2 24 13 28
15 55 53
7 34 22
4 12 41 34
19 23 6
9 12 51
24
3 7 24 3
16 2 34
7 37 32
4 25 52 9
19 29 47
9 i<5 2
25
3 20 34 38
16 9 15
7 40 43
5 9 2 44
193^28
9 19 13
26
4 3 45 13
16 15 56
7 43 54
5 22 13 19
1943 9
9 22 23
27
4 i^ 55 48
1622 37
7 47 4
6 5 23 54
19 49 50
9 25 34^
28
5 0 d 23
\6 29 18
7 50 15
6 18 34 29
19 56 31
9 28 45
29
5 13 16 58
16 35 59
7 53 25
7 I 45 4
20 3 12
9 31 55
,30
5 26 27 33
16 42 40
7 55 3<^
7 ^9 47
1 7 14 55 39
20 9 53
9 35 ^
31
6 9 38 8
16 49 21
X k
MEDII MOTVS LVN^, JPOGEI ET NODORVM
EJVS AD DIES ME NS IV M.
Die
Men-
J U L I I.
A U G U S T I.
^ofjM Mediui
i)4otKJ
Mot. Nod.
Motus Medim
Motus
Mot. Nod,
LintA.
^pogei.
Retrog.
Liin&.
Apogei.
Retrog.
fa.
S. 0. / //
0. / //
0. / //
S. 0. I /1
°- 1 II
0. / //
I
7 28 6 14
20 16 34
9 38 17
9 16 34 20
n 43 47
II 1647
2
3 II 1 5 49
20 23 1 3
9 41 27
9 29 44 55
23 5028
II 19 57
3
8 24 27 24
20 29 56
94438
10 12 55 30
23 57 9
11 23 8
4
9 7 37 59
20 35 37
9 47 49
10 26 6 5
24 3 50
II 25 18
5
9 20 48 34
20 43 18
P 50 59
II 9 16 40
24 10 31
II 29 29
6
10 s 59 9
20 49 59
9 54 10
II 22 27 15
24 17 12
II 32 40
: 7
10 17 9 44
20 5(5.41
9 57 20
0 5 37 50
2423 53
II 35 50
b
II 0 20 ip
21 3 22
10 0 31
0 18 48 25
2430 35
II 39 I
9
II 13 30 54
21 10 3
10 3 42
,1 I ?9 0
24 37- 16
II 42 12
lo
II 26 41 30
21 16 44
10 6 52
I 15 9 35
2443 57
II 45 22
II
0 9 5,2 5
21 23 25
10 10 3
I 28 20 10
24 50 38
II 48 33
12
0 23 2 40
21 30 6
10 13 14
2 II 30 45
24 57 19
II 5144
I^
I 6 13 15
21 3647
10 16 24,
2 24 41 20
25 4 0
II 54 54
14
I 19 23 50
21 43 28
10 19 35
3 7 51 55
25 10 41
II 58 5
. 15
2 2 34 25
21 50 9
10 22 46
3 21 2 30
25 1722
12 I Id
\6
2 15 45- 0
21 56 50
10 25 56
4 4 13 5
25 24 3
12 4 26
17
2 28 55 35
.22 3 31
10 29 7
4 17 23 40
25 30 44
^2 7 37
18
3 12 6 10
22 10 12
10 32 17
5 0 34 15
25 37 25
12 1 0 47
T-9
3 25 16 45
22 16 53
10 35 28
5 13 44 50
25 44 6
12 13 58
20
21
4 8 27 20
22 23 34
10 38 39
5 26 55 25
25 50 47
12 17 9
4 21 37 55
22 30 16
1 0 41 49
6 10 6 0
25 57 29
12 20 19
22
5 4 48 30
22 3657
10 45 0
6 23 16 35
26 4 10
12 23 30
; 23
5 17 5^- 5
22 43 38
10 48 II
7 d 27 10
26 10 51
12 26 40
24
5 1 9-4°
2 2 50 19
10 51 21
7 19 37 45
26 1732
12 29 51
. 25
6 14 20 15
22 57 0
105432
8 2 48 20
26 24 13
12 33 2
" 26
6 27 30 50
23 341
10 57 43
8 15 58 55
26 30 54
12 3613,
27
7 ^0 4^ 25
23 10 22
II 0 53
8 29 9 30
2^37 35
12 3923,
■ 2^
7 23 52 0
23 17 3
II 4 4
9 12 20 5
26 44 16
12 42 34^
. 25
8 7 2 35
23 23 44
II 7 14
9 25 30 40
26 50 57
12 45 44
. 3c
8 20 13 10
23 3025
II 10 25
10 8 41 15
2657 38
12 48 55
1'^^
9 3 23 45
23 37 6ln 13 36
10 21 51 50
27 4.,i9|n 52 6\
MEDII MOTVS LVN^, JPOGEI ET NODORVM
^
EJVS JD DIES MENSIVM.
' —
SE P T E M B R IS.
0 C T 0 B R I S.
Mom MeJius
Mom
Mot. mi
Motxts Meiim
Motss
Mot. Nod.
Dte
Men-
fis.
Lung.
Jpogei.
Retrog.
Lim&.
jpogei.
Retrog.
S. 0. 1 II
S. 0. , ,
0. 1 II
S. 0. / //
«. 0. / //
0. 1 II
;
I
II 5 2 26
0 27 II e
12 55 17
0 10 19 56
I 0 31 32
14 30 36
2
II 18 13 I
0 27 17 41
12 58 27
023 3031
I 0 38 13
H33 46
3
0 I 23 36
0 27 24 22
13 I 38
I 6 41 6
I 04454
143657
4
0 14 34 II
02731 3
13 449
I 19 51 41
I 051 35
14 40- 8
5
0 27 44 46
0 27 37 44
13 7 59
2 3 2 16
I 0 58 16
1443 18
6
I 10 55 21
0 27 44 25
13 II 10
2 \6 12 5:1
I I 4 57
14 46 29
' 7
I 24 5 56
0 27 51 6
13 14 20
2 29 23 26
I I 11 39
14 49 39-
:.
8
2 7 1531
0 27 57 48
13 17 31
3 12 34 I.
I I I&-20
14 5^ 50
9
2 20 27 6
0 28 4 29
13 2042
3 25 44 36
I I 25 r
14 56 I
lo
3 3 3741
0 28 II 10
13 23 52
4 8 55 II
I I 31 42
14 59 II
II
3 16 48 \6
0 28 17 51
1327 3
422 546
I I 38 23
15 2 22
12
3 29 58 51
0 28 24 32
-13 30 14
5 5 16 21
I I 45. 4
n 5 33
13
413 ^26
0 28 31 13
13 33 24
5 18 26 56
I I 5145
15- 843
14
4 25 20 I
0 28 37 54
13 3635
5 I 37. 3r
I 15827
15 II 54
15
5 9 30 36
0 28 44 35
13 3946
6 14 48 6
1258
15 15 5
16
5 22 41 II
0 28 51 16
13.. 42 56
6 27 58 41
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MEDII MOTVS LVNM, JPOGEI ET NODORVM
EJVS AD DIES MENSIVM.
NOVEMBRIS.
D E C E M B R I S.
Die
Men
Mollis Medius
iMoti«
Mot. Nod,
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2 II 58 36
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3 8 19 47
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5
3 21 30 22
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16 24 59
5 9 58 27
I 7 52 43
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417 51 32
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I 10 19 47
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29
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30
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I , 7 12 37
17 41 14
3 2d 12 28
I 10 33 9
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31
4 9 23 3
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MEDII MOTVS LVNjE, JPOGEIET NODORVM
AD MORAS ET MINVTA HO R ARIA.
yJfot. -Wei.
A
poeei
Mot. Nvd.
Mot. Med.
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L 1
TJBVLA MEDII MOTVS LV N ^, JPOGEI ET
NODORVM AB- JEQVIN&CTIO, AC LVNJL A SOLE.
IN CE NTV RIIS ANNO RV M JVLIANO RV M.
Jnnis
Juli-
anis.
Motics Medius
ilfoftw y/pC)gei
Motui Nodorum
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Lun&.
Za««.
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Sole. \
•i
1 loo
S. 0. / II
^. 0. / //
S. 0., / //
^. 0. / // :
10 7 50 25.
3 19 II 15
4 14 II 15
^o 7 4 5.3 ;
200
8 15 40 50
7 8 22 30
8 28' 22 50
8 14 9 45 ;
:5oo
6 23 31 15
10 27 33 45
, I 12 33 45
d 21 14 3^ ;
400
5 I 21 40
2 16 45 0
5 26 45 0
4 28 19 32 i
500
\ 600
3 P 12 5
^5 5^ 15
10 10 55 15
3 5 24 25 :
I 17 2 30
9 25 7 30
2 25 7 30
I 12 29 18
700
II 24 52 55
I 14 18 45
7 9 18 45
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800
10 2 43 20
5 3 30 0
II 23 30 0
9 26 39 4
; 900
8 10 33 45
8 22 41 15
4 7 41 15
8 3 43 57
iooo
;iioo
6 18 24 10
0 II 52 30
8 21 52 30
6 ID 48 Jo :
4 2^ 14 35
4 I 3 45
I 6 3 45
4 17 53 43
1200
3450
7 20 15 0
5 20 15; 0
2 24 58 36
1300
I II 5:5 25
II 9 25 15
10 4 2(5 I 5
I 2 3 29
1400
II 19 4? 50
2 28 37 30
2 18 37 30
II 9 8 22 =
1500
1600
9 27 3^ 15
6 17 48 45
7 2 ^.8 45
9 i<5 13 15
8 5 26 40
10 7 0 0
II 17 0 0
7 23 18 8 :
1700
6 13 17 5
I 2(5 II 15
4 I II 15
6 0 23 I ,
1800
421 730
5 15 22 30
. 8 15 22 30
4 7 27 54 ;
1900
2 28 57 55
9 4 33 45
0 29 33 45
2 14 32 47
2000
2100
I 6 48 20
0 23 45 0
5 13 45 0
0 21 37 40 ,
II 14 38 45
4 12 56 15
9 27 56 15
10 28 42 33
2200
9 22 29 10
8 2 7 30
2 12 7 30
9 5 47 25 .
2300
8 0 19 35
II 21 18 45
6 26 jS 45
7. 12 52 19
2400
6 8 10 0
3" 10 30 0
II 10 30 0
5 19 57 12
2500
2(5oo
4 16 0 25
6 29 41 15
3 24 41 ijr
3 27 25
2 23 50 50
10 18 52 30
8 8 52 30
2 4 <5 58
2700
I I 41 15
2 8 3 45
6 23 3 45
0 II II 51
2800
II 9 31 40
5 27 15 0
5715 0
10 18 i5 44 :
2900
9 17 22 5
9 16 26 15
9 21 26 15
8 25 21 37
3000
3100
7 25 12 30
I 5 37 30
2 5 37 30
7 2 25 30 .
5 $> 31 23 ■
3 16 35 i5 ,
6 3 2 55
4 24 48 45
6 19 48 45
3200
4 10 53 20
8 14 0 0
j 1 1 4 0 0
^
TABVLA jEQVATIOiyVM ANNVARVM LV N JL,
~
A HOG EI ET NODORVM.
Ammalia Media Solis.
Am-
mal.
med.
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Sig. 1.
Sig. 11.
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50
29
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1 5 58
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4 48
10 7
17 8
' 0 12
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10 14
17 19
2
0 24
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0 19
i 0 9
10 24
4 57
10 20
17 29
8 19
28
3
0 36
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0 2p
6 19
10 42
5 5
10 26
17 39
8 24
27
4
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8 28
26
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15
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9 7
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2 43
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6 50
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9 12
13
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2 53
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14 39
6 57
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19 33
9 17
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21
3 57
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3 20
8 55
15 7
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19 37
9 19
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10
9
4 9
7 2
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19 41
32
4 20
7 21
3 29
9 II
15 33
7 23
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19 44
9 22
8
23
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7 40
3 3^
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7 29
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19 48
9 24
7
24
4 42
7 59
3 47
9 27
ij 58
7 35
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19 51
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6
25
26
4 53
8 18
3 56
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9 34
16 II
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7 46
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19 53
9 26
9 27
5
4
5 4
8 36
9 41
16 23
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19 55
27
5 15
8 54
4 14
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16 35
7 52
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19 57
Q 28
3
2
2b
5 26
9 13
4 23
9 54
16 46
7 5^
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19 58
9 29
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9 31
4 31
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19 59
9 29
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TJBVLA jEQJVJTIONVM JNNVJRV M LV N M,\
J P 06 EI ET NODORVM.
1
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Ano-
mal.
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19 '8
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MCIVATIO NES LVNM M I N 0 R E S.
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0 32-
22
8
0 20
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2 14
22
9
I 9-
3 40
2 30
21
9
0 14-
0 46
0 31-
21
9
0 22-
I 31
2 15
21
lo
11
I 17
3 42
2 24
20
19
10
II
0 16
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0 30
20
19
10
II
0 25
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2 I5
20
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3 44
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18
21
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0 27-
18
12
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13
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17
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146
345
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025
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13
17
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13
17
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13
lb
2 12
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12
18
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0 19
12
18
0 44
148
2 21
12
-19
2 18
3 43
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II
19
0 29
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0 17-
II
19
0 46-
149-
2 22
li
20
2 24
342
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10
9
20
21
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9
20
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9
21
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2 23
22
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8
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8
22
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I 54
2 23
8
23
2 41-
3 36
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7
23
0 34
045
0 II-
7
23
0 56-
t 55-
2 24
7
24
2 47
3 34
047
t.
24
0 35
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0 10
6
24
0 59
I 57
2 24
6
25
26
3 52
3 31
0 39
5
4
25
26
0 36
044
0 8
5
4
25
26
I I
I 58
2 24
5
4
2 57
328-
0 31
0 37
0 43-
0 6-
I 3
2 0
2 24
27
3 2
3 25
0 23-
3
27
0 38
043
0 5
3
■27
I 5-
2 I-
2 25
28
3 ^-
3 22-
0 16
^
2^
0 39
042
0 3
2
28
I 8
2 3
2 25
29
3 II
3 19-
3 15
0 8
0 0
1
0
Gr.
3c
0 40
041-
0 I-
0 0
I
0
?
29
30
I 10-
I 12-
2 4
2 5
2 25
2 25
I
SCI3 15
:>4i
0 41
0
Sig.j. n.
, MJe.
\. 10.
Mde.
3-9-
Adde.
Sig. 5. II
Adde.
4. 10. :;. 9.
AAde. Adde.
s^s-{l;S
4 Add
10 6-«^
3 Add.
5 5-K*.
Gr.
M m
TABVLA jEQJJJTIO/VVM JFOGEI ET
ECCENTRICITATV M ORBIS LV N JL.
Sisr O VI.
^rgu
^g'a. Apog.
Luna Aiie.
Eccentric.
Logarithmi
Logarithmi
ment.
i^?#.
OrbiiLv-
hanm
pro Mqua-
Gr.
n& ad Ra
Hum I.
Eccentrict-
latum.
tione centri
Luna.
"
Biff.
Dii?;
o
0 00
,066777
8 824629
9 941912
30
I
0 21 4
21 4
,066771
5
8 824590
9 941917
5
15
26
36
46
56
67
76
87
96
107
29
2
0 42 8
21 4
,066754
ly
8 824475
9 941932
28
3
1 3 10
21 2
,066724
3^
8 824284
9 941958
27
4
I 24 9
20 59
,066683
4^
8 824016
9 9^^ 99^
26
5
I 4J 5
20 55
,066630
5J
64
11
8 823671
9 942040
25
6
2 5 57
^oee-see
8 823252
9 942096
24
7
2 2^ 44
20 47
,066489
8 822753
9942163
23
8
2 47 25
20 41
,066402
8 822179
9 9^22^9
22
9
lO
3 8 0
3 28 27
20 35
20 27
,066302
,066192
no
8 821529
8 820803
9 942326
9 942422
21
20
II
3 48 46
,066070
8 820001
9 942529
19
12
4 8 55
20 9
,065936
133
8 819124
9 942645
126
135
146
155
164
173
183
191
18
I^
4 28 54
19 59
19 48
,065792
144
156
167
8 818170
9 942771
17
14
4 48 42
,065636
8 817142
9 942907
16
15
5 8 19
19 37
,065469
8 816038
9943053
15
16
5 27 43
19 24
,065292
177
188
8 814858
9 943208
14
17
5 4^ 53
18 55
18 39
18 23
18 6
17 48
17 28
17 8
,065103
198
8 813604
9 943372
13
t8
d 5 48
,064905
8 812275
9 943545
12
19
6 24 27
,064695
8 810873
9 943728
II
20
6 42 50
,064476
230
239
8 809397
9 943919
10
21
7 0 56
,064246
8 807847
9 944120
9
2_
7 18 44
,064006
8 806223
9 944329
8
2S
7 3^ 12
,063757
249
259
8 804528
9 944546
2iy
226
7
24
7 53 20
,063498
8 802760
9 944772
6
1 '5
8 10 6
16 ^6
,063230
277
8 800920
9 945006
234
5
26
8 26 29
,062952
287
295
8 799009
9 945248
4
V.
8 42 29
16 0
,062665
8 797028
9 945498
250
3
8 58 5
15 36
,062570
8 794978
9 945755
265
2
29
9 13 15
15 10
,062066
303
8 792857
9 946020
I
30
9 27 57
14 42
,061754
312
8 790668
9 946292
0
Gr.
~ 1 Siibtrahe.
M-
sig.v. xr.
TABVLA MQJVATIONVM JPOGEI ET
ECCENTRICITJTVM ORBIS LV N M.
Sig. I. VII.
^rgu-
JEqu. Apog.
Dif
Eccentric.
Logarhhmi
Lr.garhhmi
Lm& Adie.
Orbis Lu
harum
pro Mqiia-
tiojie cemri
LwiA.
Gr.
diwn I.
tatim.
Drjf.
320
327
335
342
34P
355
362
368
W-
o
9 27 57
,061754
8 790668
9 946292
30
I
P 42 12
14 15
13 46
13 16
12 44
,061434
8 788412
9946571
279
286
29
2
9 55 58
,061107
8 786089
9 946857
28
3
4
10 9 14
10 21 58
,060772
^060429
8 783701
8 781248
9 947149
9 947448
292
298
27
26
5
lo 34 P
II 38
,060080
8 778732
9 947752
ju4
25
6
10 45 47
,059725
8776153
9 948062
3^^
24
7
8
10 56 49
11 7 15
10 26
,059363
,058995
8 773513
8 770814
9 948377
9 948698
320
23
22
9
II 17 4
9 49
,058621
3y3
378
383
388
392
396
399
401
404
406
407
409
40P
410
408
408
407
404
402
199
395
391
8 768057
9 949023
325
21
lO
II 26 14
8 29
748
7 5
6 21
5 36
4 4P
4 I
3 12
,058243
8 765243
9 949353
330
20
II
II 34 43
,057860
8 762375
9 949687
334
338
19
12
II 42 31
,057472
8 75P454
9 950025
18
13
n 49 36
,057080
8 756482
9 950367
34^
17
15
11 55 57
12 I 33
,056684
,056285
8 7534'5i
8 750395
9 950712
9 951059
345
347
16
15
Id
I?
12 6 22
12 10 23
,055884
»o5547P
8747284
8 7441 3 1
9 951409
9951761
350
352
354
14
13
i8
12 13 35
,055073
8 740P41
9 9521.15
12
IP
12 15 56
I 28
,054666
8737714
9 952470
355
356
356
356
356
355
354
352
350
347
344
340
11
20
12 17 24
0 3^
,054257
8 734455
9952827
10
21
22
12 17 59
12 17 40
0 19
1 15
212
,053848
,053438
8731167
8727853
9953183
9 953540
9
8
23
12 16 25
,053030
8724518
9953896
7
24
25
12 14 13
12 11 2
3 II
4 10
5 10
,052622
,052215
8 721164
8 717796
9954251
9 954605
6
5
26
12 6 52
,051811
8 71441P
9 954957
4
27
28
29
12 I 42
II 55 31
II 48 17
6 II
7 14
8 17
,051409
,051010
,050615
8 711037
8 707654
8 704277
9955307
9 955655
9 95 5999
3
2
I
30
II 40 0
,050224
8 700910
9 956339
0
Siibtrahe.
m-
Blf.
Dif.
Or.
Sig. IV. X.
TJBVLJ jEQVJT 10 NV M JPOGEJ
ET
ECCENTRICITJTVM ORBIS LVN^. \
Sig. II. VIII.
Argu-
uEqu. Jpog.:
Luna Aide.
Eccentric.
Logarithm
Logarithm!
Dlff.
Oybis Lu-
harum
pro Equa-
Gr
na ad Ra-
dium 1.
Eccentrici-
tatum.
tions centri
Lunnt.
386
381
l>ijf.
336
331
326
o
II 40 . 0
,050224
8 700910
9956339
30
I
II 30 39
9 21
,049838
8 697559
9956675
29
2
II 20 14
,049457
8 694229
9957007
28
3
II 8 44
1 1 30
,049082
3/4
368
8 690927
9 957333
27
4
10 56 8
12 36
,048714
8 687658
9957653
320
26
, 5
10 42 26
13 42
14 48
,048354
353
8 684430
9 957968
314
25
6
10 27 38
,048001
8 681247
9 958275
307
24
7
10 II 45
15 53
16 58
18 3
,047656
345
8 678118
9 958575
23
8
9 54 47.
,047321
335
325
316
305
8 675050
9958867
284
22
9
9 3^ 44
,046995
S 672049
9959151
21
lo
9 17 37
19 7
,046679
8 6691 2 1
9 959426
274
265
20
II
8 57 25
»046374
8 666277
9 959691
19
12
8 36 II
21 14
,046081
293
281
269
256
242
227
213
198
iS",
8 663520
9 959946
255
18
13
8 13 56
22 ij
,045800
8 660861
9 960191
24^
17
■ 14
7 50 42
23 14
»045531
8 658305
9 960425
234
16
■ 15
7 26 29
24 13
25 8
26 2
25 53
,045275
8 655859
9 960648
15
i 16
J I 21
,045033
8 653532
9960858
198
186
14
: ;i
6 35 19
6 8 26
,044805
,044592
8651331
8 649261
9 961056
9 961242
13
12
19
5 40 45
27 41
28 27
29 8
,044394
8 647329
9 961414
172
II
; 20
5 12 18
,044212
8 645542
9 961573
159
10
144
J 21
4 43 10
,044046
8 643906
9 961717
131
115
9
! 22
4 13 23
29 47
,043896
150
133
T t6
8 642426
9 961848
8
23
3 43 I
,o437<53
8 641 108
9 961963
7
? 24
3 12 ^
30 52
,043647
98
81
8 639954
9 962064
86
6
25
2 40 4P
^i 20
043548
8 638973
9 962150
71
5
26
297
31 42
,043467
63
8 638164
9 962221
4
1 27
I 57 6
32 I
,043404
8 637532
9 962276
55
3
28
I 4 52
32 14
,043359
45
8 637079
9962315
59
2
29
0 32 28
32 24
32 28
,043332
27
8 636806
9 962339
Z4
8
Djf.
I
, 30
000
,043323
9
DJff.
8 636715
9 962347
0
^ubtrahe.
W-
Sig. III. IX.
TABVLJ PRO EXPED lEN DO CJLCVLO
MQJVATIONIS CENTRI LV N JL.
Medii Lma loci ah Apogeo aquato diflantia.
Sig. o. Adde.
Sig. I. Adde.
Log.
9942
9 947
9952
9 957
/ //
9 962
9 942
9947
/ //
9 952
9 957
/ //
9 962
/ //
0 43-
Gr.
/ //
/ //
/ //
/ //
0 0
I 42
I 9-
I II
o
I
0 0
0 0
0 0
0 0
I 25
0 55-
0 4
0 3-
0 3
0 2
0 2
I 44
I 27
0 57
0 44
2
0 8
0 7
0 5-
0 4
0 3-
I 45
I 28-
I 12-
0 58
0 45
3
0 12
0 10
0 8-
0 6-
0 5
I 48
I 30
I 14
0 59
0 45
4
0 16
0 13
0 II
0 9
0 7
I 49-
I 31-
I 15
I 0
0 46-
5
6
0 20
0 16-
0 13-
0 II
0 13
0 8-
I 51
I 33
I 16
I I
I I-
0 47-
0 48
0 24
0 20
0 16
0 10
I 53
I 34
I 17
7
0 28
0 23
0 19
0 15
0 12
I 54-
I 35-
I 18
I 2-
0 48-
8
0 31-
0 26
0 21-
0 17
0 13-
I 56
I 3^-
I 19
I 3
0 49
9
0 35
0 25)-
0 24
0 19-
0 15-
I 57
I 37-
I 20
I 4
0 49-
lo
II
0 39
0 43
0 33
0 27
0 21-
0 17
I 5«
I 3«-
I 39-
I 20-
I 21-
I 4-
I 5
0 5:0
0 50-
0 ^6
0 29-
023-
0 18-
I 59
12
0 4<5-
0 S9
0 32
0 25-
0 20
2 0
I 40
I 22
I 5
0 51
13
0 50
0 42
0 34-
0 28
0 21-
2 0-
I 40-
I 22
I 5-
0 51
14
0 54
0 45
0 37
0 30
0 23
2 I
I 41
I 22-
I 6
0 51
15
16
0 57-
0 48
0 39-
0 42
0 32
0 24-
2 I
I 41
I 41-
I 23
I 23
I 6
I 6
0 51
0 51-
I I
0 51
0 33-
0 26
2 2
I?
I 4-
0 54
0 44-
0 35-
0 27-
2 2-
I 41-
I 23
I 6
0 51-
1^
I 8
0 57
0 46-
0 37
0 29
2 2
I 42
I 23
I 6
0 51
19-
I II
0 59-
0 48-
0 39
0 30-
2 2
I 41-
I 23
I 6
0 51
2 0-
21
I 14-
I 18
I 2
0 51
0 41
0 32
0 33-
2 2
I 41-
I 23
I 22-
I 6
I 5-
0 51
I 4-
0 53
0 42-
2 I-
I 41
0 50-
22
I 21
I 7
0 55
0 44
0 34-
2 1
I 40-
I 22
I 5
0 50-
23.
I 24
I 9-
0 57
0 46
0 36
2 0-
I 40
I 21-
I 4-
0 50
24
I 2.6-
I 12
0 59
0 47-
0 37
I 59-
I 39-
r 21
I 4
0 50
^5.
I 29-
r 14-
I I
0 49
0 38
0 39
I 5B
I 38-
I 37-
I 20-
I ip-
I 3-
I 3
0 49-
0 49
26.
I 32
I 17
I 3
0 50-
^ 57-
27
1 34-
I 19
I 4-
0 52
0 40-
I 50-
I ^6
I 19
I 2-
0.48-
2«
I 37
I 21
I 6
0 53
0 41-
I 55
I ^5
I 18
I I-
0 48-
2P
I 39-
I 23
I 7-:
0 54-
0 42-
I 54
I 34
I 17
I I
0 47-
30]
I 42
I 25
I 9-
0 55-
0 43-
I 52-
I 33 I 15-
I 0
0 4<5-
N n
' TABVLA PRO EXP EDIE NDO CALCVLO >
jEQVATIO N IS CENTRI LVNM.
Medii Lms_ loci ah Apogao aqmto dijiantta.
Sig. II. Adde.
Sig. III. Adde,
Log
Qr.
o
I
9942
I 52-
I 51
9^^1]9 95^
9 957
/ //
I 0
9 962
9 94'-
9 947
9 952
9 957 -
? 962.
1 II
I 33
I 31-
/ //
0 46-
-/ //
/ //
/ //
/ , //
V • // ■ '
I 15-
0 20
0 15-
0 II-
0, 8
06'
I 14-
0 59
0 46
0 1(5
0 12
0 9
0 6
0 4- ^
2
1 49
^ 30
I 13
0 58
0 45
0 12
0 9
0 6
0 4
0 2-
3
4
5
6
I 47
I 45
1 43
1 40-
I 28-
I 26-
I 25
I II-
I 10
I 8-
I 7
0 57
0 56
0 54-
0 53
0 44,
0 43
0 42
0 8
0 4
0 5-
0 2
Sub. I
0 3
0 0-
Q 2
0 I
Sub. I
0 3
Sub.o-
0 2-
Subtr.
AnZ». 2-
I 23
0 41
0 4
0 4-
0 5
0 5
0 4-
7
I 3«-
I 21
I 5-
0 52
0 40
0 8
0 8
0 7-
0 7
0 6
8
I ^6
I 19
I 4
0 50-
0 39
0 12
on
0 10
0 9
0 «
9
I 33-
I 17
I 2
0 49
0 38
0 16
0 14-
0 13
on
0 10
lO
II
I 30-
I 28
I 14-
I 12
I 0
0 58
0 47-
0 36-
0 35-
0 20
0 18
0 16
0 13-
0 II-
0 46
0 24
0 21-
0 18-
0 16
0 13-
i 12
I 25
I 9-
0 56
0 44
0 34
0 27-
0 2/1-
0 21
0 18
0 14-
I^
I 22
I 7
0 54
0 42-
Q 32-
0 31-
0 27-
0 24
0 20,
0 id
\ 14
I 19
I 4-
0 52
0 41
<? 31
0 35
0 31
0 26-
0 22
0 18
1 ■'
I 16
I 12-
I 2
0 59
0 50
0 47-
0 39
0 37
0 30
0 39
0 34
0 29
0 24
0 19-
16
0 28-
0 43
0 37
0 31-
0 26
0 21
17
I 9
0 56
0 45
0 35
0 27
0 46-
0 40
0 34.
0 28
0 22-
18
\ 5-
0 53-
0 43
0 33-
0 25-
0 50
0 43
0 36
0 30
0 24
19
j 2
0 50-
0 40-
0 31-
0 24
0 53-
0 46
0 38-
0 32
0 25-
20
21"
0 58-
0 47-
0 44-
0 3B
0 35-
0 ^9-
0 27-
0 22
0 57
0 48-
0 41
0 33-
0 27
0 55
0 20-
I 0-
0 51
0 43
0 35-
0 28-
22
0 51
0 41-
0 33
0 25-
Q 19
I 3-
0 54
0 45-
0 37
0 29-
2i
0 47-
0 38-
0 30-
0 23
0 17-
0 6-
056-
0 47-
0 39
0 31-
24
0 44
0 35
0 28
0 21
0 16
I 9-
0 5P
0 49-
0 40-
0 32
25
0 40
0 36
0 32
0 28-
0 25
0 22-
0 19
0 14
i 12-
I I-
0 51-
0 42
0 33
j 26
0 17
0 12-
I 15-
t 4
0 53-
0 43-
0 34-
27
0, 32
0 25
0 20
0 15
0 II
I 18-
I 6-
0 55
0 45
0 36
28
0 28
,0 22
a 17
0 12-
0 9
I 21
I 9
0 57
0 46-
0 37
i 29
0 24
0 19
0 14
0 10
0 7-
I 23-
I II
0 59
0 48
0 38
1 -.30
0 20
lo 15-
0 ii-lo 8
0 . 6
I 25 'i 13
I 0-
0 49 '0 S9 j
TABVLA PRO EXPEDIEN DO CJLCVLO
MCIVATIO NIS CENTRI LV N M.
Medii Luna loci al Apogao aquato diflantia.
Sig. IV. Subtrahe,
Sig. V. Suhrahe.
Log.
9P4^
9 947
9952
9 957
9 962
9 942
9 947
9 952
9 957
9 962 \
Gr.
o
/ //
I 26
I IS
/ //
I 0-
1 11
/ //
7^6-
/ //
I 21
I 6-
053
1 /1
0 42
0 49
0 39
I
I 29
I 15
I 2
0 50
0 40
I 35
I 19-
I 5-
0 52-
0 41
2
I 30-
I 16-
I 3-
0 51
0 41
I 33
I 18
I 4-
0 51-
0 40
3
I 32-
I 18-
I 5
0 52
0 42
I 31
I 16
I 2-
0 50-
0 39
4
I 34-
I 20
I 6
0 53-
0 42-
I 28-
I 14
I I
0 49
0 38
5
I 36-
I 21-
I 23
I 7
I 8-
0 54-
0 43-
I 26-
I 24
112
I 10
0 59-
0 57-
0 47-
0 46
0 37
0 36
6
I 38
0 55-
0 44
7
I 39-
I 24-
1 9-
0 5<5
0 44-
I 21-
I 8
0 56
0 44-
0 35
«
I 41
I 25-
I 10-
0 57
0 45
I 18-
I 6
0 54
0 43
0 34
9
I 42-
I 26-
I II-
0 57-
0 45-
I Id
I 3-
0 52
0 41-
0 33
10
I 44
I 27-
I 28-
I 12
I 13
0 58
0 46
I 13
r 10
I I
0 50
0 48
0 40
0 38-
0 31-
0 30-
1 1
I 45
0 58-
0 46
12
I 45-
I 29
I 13-
0 59
0 46-
I 7
0 56
0 46
0 37
0 29
13
I 46
I 29-
I 13-
0 59-
0 46-
I 3-
0 53-
0 43-
0 35
0 27-
14
I 47
I 30
I 14
I 0
0 47
I 0
0 50-
0 41-
0 33
0 26
15
I 47
I 30
I 14-
I 0
0 47-
0 57
0 48
0 39-
0 31-
0 24-
i6
I 47-
I 30-
I 14-
I 0
0 47-
0 53-
0 45
0 37
0 29-
0 23
17
I 48
I 30-
I 15
I 0
0 47-
0 50
0 42
0 34-
0 27-
3 2 1-
1«
I 48
I 30-
I 15
I 0
0 47-
0 46-
0 39
0 32
0 25-
0 20
I?
I 48
I 30-
I I)
I 0
0 47
0 43
0 36
0 29-
0 23-
0 18-
20
21
I 47-
I 30
I 14-
I 14
I 0
0 47
0 39
0 35-
0 33
0 29-
0 27
0 24
0 21-
0 19-
0 17
0 15-
I 47
I 30
0 59-
0 47
22
I 45-
r 29-
I 13-
0 59
0 46-
0 31-
0 2(5-
0 21-
0 17
0 13-
23
I 45-
I 29
I 13
0 58-
0 46
0 28
0 23
0 19
0 15
0 12
24
I 44-
I 28
I 12-
0 58
0 45-
0 24
0 20
0 16
0 13
0 10
25
26
I 43-
I 27
I 12
I II
0 57-
0 57
0 45
0 44-
0 20
0 16
0 16-
0 13
0 13-
0 1 1
0 II
0 9
0 8-
0 7
I 42-
I 26
27
I 41
I 25
I 10
0 56-
0 44
0 12
010
0 8-
0 7
0 5- .
28
I 40
I 24
I 9
0 55-
0 43-
0 8
0 7
o- 5-
0 4-
0 3-
29
I 38- I 22
I 8
0 54-
0 43
0 4
0 3-
0 3
0 2
0 2
30
I 3<5- I 21
I 6-
0 53-
0 42
0 0
0 0
0 0
0 0
0 0 ,
TABULA rARIATJONIS
fve REFLECTIONIS.
Luna squats a Sole difiantia.
0. VT .
I. VIL
ir. VIII.
big.
Adde.
Adde.
^iJe.
Gr.
/ II
II
/ //
o
0 0
30 27
30 27
I
I 14
31 3
29 49
2*
2 27
31 35-
29 9-
3"
3 40-
32 7-
28 27 .
4
4 54
32 3^
27 43
5.
6 d-
33 3
33 27
2 5 55-
6
7 19
25 8
7
8 30-
33 48
25 18
8
9 41-
34 7-
24 25
9
10 52
34 24
23 32
ID
12 2
34 38
22 35
II
13 10-
34 50
2 1 39
12
14 18
34 59
20 40
13
15 25
35 5-
19 4c
H
16 30-
35 9
18 38
15
17 35
35 10
17 35
i6
18 38
35 9
16 30-
17
19 40
35 5-
15 25
18
20 40
34 59
14 18
19
21 39
34 50
13 10-
20
22 36
34 38
12 2
21
23 32
34 24
10 52
22
24 26
34 7-
9 41-
23
25 18
33 48
8 30-
24
25 8
33 27
7 19
25
25 55-
33 3
5 5-
26
27 43
32 36
4. 54
27
28 27
32 7-
3 40-
28
29 9-
31 3^-
2 27
2-9
29 49
31 3
I 14
30
30 27
30 27
0 0
Sig.
V. XL
IV. X.
ill. IX.
Svhtr.
Subtr.
Subtr.
30
7
5
5
4
3
2
1
o
LOGARJTHMl PRO CORRECTIONE
VARIATIONIS.
Anomalia Media Solis.
Gr.
Sig. 0.
Sig. I.
Sig. 11.
Logar.
Logar.
Logar.
0 0125
0 0242
0 0211
0 0242
0 0242
0 0241
0 0240
0 0239
0 0207
0 0203
0 0198-
0 0193-
0 0188
0 0118-
0 01 10-
0 Oi02-
0 0095 '
0 0087
0 0237-
0 0235-
0 0233-
0 0231
0 0229
0 0182-
0 0177
0 0171
0 0155
0 0159
0 0079
0 0071
0 0053
0 005 J
0 0045
0 0225
0 0223
0 0219
0 0215
0 02 1 1
0 0153
0 0145
0 0139
0 0132
0 0125
0 0038
0 OC29-
0 0021
0 0012-
0 0004
Sig. XI.
Sig.X.
Sig. IX.
Gr.
Sig. III.
Sig.IV.
9 9880
Sig.V.
0 0004
9 9787-
9 9783 .
9 9779
9 9775
9 9772
9 97^9
9 9995-
9 9987
9 9978-
9 9969
9 9961
9 9952-
9 9944
9 993^
9 9928
9 9920
9 9872
9 9855
9 9858
9 9851
9 9844
9 9837
9 9830
9 9824
9 9818
9 9812
9 9807
9 9802
9 9797
9 0792
9 9787-
Sig. VII.
9 976<5
9 97^3
9 97^0-
9 9758-
9 9757
9 9912
9 9904
9 9896
9 9888
9 9880
Sig. VIII.
9 9755-
9 9754
9 9753
9 9753
9 9753
Sig. VI.
TABULA PRO COMPVTO LAmUD...
-
Soils a Nodo fnedio diftuniia.
Sig. O. VI. 1
! Sig. 1. VII..
Sig
. 11 VIM.
Nodi Mde.
Indinat.
Sinus Lo-
Redua.
Maxi.
^quat.
Nodi Adde
Indinat
Sinus Lo
garith-
tnicus.
Redua-
■ Vlaxi.
1 II
^quat .
Nodi Addt.
0 1 Jl
1 18 44
I 17 13
I 15 29
I 13 43
I II 53
I 9 55
Indinat
Sinus Lo-
garith
micus.
Redua
Maxi.
1 II
30
29
28
27
26
25
Gr.
a 1 II
1 II
0 1 II
O
I
2
3
4
5
000
8 96462
7 20
I 16 42
8 95853
7 8
8 94605
8 94567
8 9453'
8 94495
8 94459
8 94425
6 44
643
6 42
64,
0 3 3
066
099
0 12 10
0 15 12
8 96461
8 96459
8 96456
8 96451
8 96444
I 18 16
I 19 44
I 21 6
I 22 23
I 23 34
8 95816
8 9S777
8 95737
8 95698
8 95658
7 7
7 6
7 5
7 4
6
I
,1
0 18 12
0 21 10
0 24 8
0 27 4
0 29 S7
8 96436
8 96426
8 96415
8 96403
8 96390
7 19
I 24 39
I 25 38
I 26 31
[ 27 ly
I 27 58
8 95617
I 95576
I 95534
8 95492
8 95450
7 3
7 2
7 ^
7 c)
I 7 52
I 5 44
I 3 32
I I 14
0 58 5'
8 9439'
8 94359
8 94328
8 94298
8 94269
6 40
^ 39
6 38
24
23
22
21
20
1 1
12
H
'5
0 32 49
° 35 39
0 38 26
04111
0 43 53
8 c)b^j^
8 96358
8 95340
8 96321
8 96300
7 ^8
7 '7
I 28 32
1 28 59
I 29 21
I 29 35
' 29 43
8 95407
I 95363
8 95320
8 95277
8 95234
6 59
6 58
6 57
6 56
0 56 24
0 53 53
P 51 17
b 48 38
0 45 54
0 43 7
0 40 17
0 37 24
0 34 27
0 31 28
8 94,241
8 94214
8 94188
8 94164
8 94141
6 37
6 36
6 35
19
18
17
16
15
16
17
18
'9
20
0 46 3 1
0 49 7
0 51 39
0 54 8
0 56 33
8 96278
8 96255
8 96231
8 96205
8 96178
7 16
7 ^5
^ 29 45
I 29 40
I 29 28
I 29 10
I 28 46
I 28 14
I 27 37
I 26 52
I 26 1
I 25 4
8 95190
8 95H7
8 95104
8 95060
8 95017
8 94974
8 94931
8 94889
8 94847
8 94806
6 55
6 52
8 94119
8 94099
8 94080
8 94062
8 94046
6 34
'4
13
12
1 1
10
21
22
23
24
25
0 58 54
1 III
I 3 24
' 5 32
I 7 36
8 96150
8 96121
8 96091
8 96060
8 96028
7 H
7 ^3
7 12
6 51
6 50
6 49
648
0 28 26
0 25 22
0 22 16
0 19 9
0160
8 94032
8 94019
8 94008
8 91>997
8 93988
6 33
9
8
7
6
5
26
27
28
29
30
I 9 35
I 1 1 30
I 13 19
I 15 03
I 16 42
8 95995
8 95960
8 95925
8 95889
8 95853
7 "
7 10
7 9
7 «
I 24 1
I 22 51
I 21 35
1 20 12
I 18 44
8 94764
8 94724
8 94684
8 94645
8 94605
6 47
6 46
6 45
6 44
0 12 49
0 9 38
0 6 26
0 3 13
000
8 9398J
8 93976
8 93972
632
4
3
2
I
0
8 93970
8 93970
^z/^rr^/jt-.
Stibtrahe
Subtrahe.
Sig. V. XI.
Sig IV. X.
Sig. 111. IX.
O o
r ABU LA PARALLAXIUM LUNM
Logarithmi
pro Parallaxi
extra Syzygias.
HORIZONTALIUM IN STZTGIIS.
Jnom.
Eccentricitas Lmtie.
Amm.
Lun^
Eccentricitas Ltm^.
LulteS
a Sale
■velOp-
pofito
diftan.
5 0
0 0
0 3
rithmt
Logift.
adden-
di.
'vera.
S o
O O
0 3
,065 1 ,055 1 ,045
vera.
S 0
3 0
3 3
,065 1 ,055 1 ,045
Parallaxis Lun^Horiz.
Parallaxi sLun<£Horiz .
log.
0 0
0, 2
1 II
/ //
/ //
/ //
1 1,
/ n
53 34
?4 4
54 35
54 35
57 16
5728
57 12
57 9
57 17
53 34
54 4
57 22
o 6
53 35
H 5
54 35
3
b
57 40
57 32
57 25
0 6
°^ 7
o 9
^^ 36
54 6
54 3^
3
9
57 51
57 42
57 33
0 9
I. 5
O 12
53 38
54 «
54 3«
3
12
5« 3
57 52
57 41
0 12
2> 7
o 15
0 18
53 41
54 1°
54 40
3
3
15
18
5^ H
5^ I
57 49
0 15
0 18
4, 2
6, 0
53 44
54 13
54 42
5825
58 II
57^ 57
0 21
53 4«
54 16
54 45
3
21
5 36
58 20
58 4
0 21
8, I
0 24
53 52
H 20
54 4«
3
24
5^ 47
58' 29
58 12
0 24
10, 4
0 27
53 57
54 24
54 51
3
27
58 58
5« 3«
58 :9
0 27
13, 0
I 0
I 3
54 3
54 29
54 55
54 59
4
4
0
3
59 8
5^ 47
58 26
I 0
I 3
i5> 7
18, 6
54 9
54 34
59 18
58 55
58 33
1 6
54 16
54 40
55 4
4
6
59 28
59 3
58 40
I 6
21, 7
I 9
54 23
54 46
55 9
4
9
59 37
59 i^
55 4b
I 9
24, 7
I 12
54 3°
54 52
55 H
4
12
59 46
59 19
58 52
I 12
28, I
I 15
I 18
54 3«
54 59
55 20
4
4
15
18
59 54
59 2b
58 5^
I ^5
I 18
31. 4
34, 6
54 47
55 6
55 26
60 2
59 33
59 3
I 21
54 56
55 13
55 32
4
21
60 10
59 39
59 9
I 21
37. 8
■i 24
55 5
55 21
55 3«
4
24
60 17
59 45
59 H
I 24
41, 0
I 27
55 15
55 3°
55 45
4
27
60 24
59 51
59 i^
I 27
44, I
2 0
2 3
55 25
55 35
55 3«
55 47
55 52
55 59
5
5
0
3
60 30
59 5<^
59 23
2 0
2 3
47, 0
49, 7
60 35
60 I
59 26
2 6
55 46
5 5 56
56 6
5
6
60 40
60 5'59 30
2 6
52, 2
2 9
■55 56
56 5
56 14
5
9
60 45
60 959 33
2 9
54, 5
2 12
56 7
56 H
56 21
5
12
60 49
60 1259 36
2 12
56. 6
2 15
56 19
56 23
56 29
5
15
60 52
60 15^59 38
2 15
58, 3
2 18
56 3°
56 33
56 37
5
18
60 55
60 17J59 40
2 18
59> 8
2 21
56 41
56 43
56 45
5
21
60 S7
60 19^59 41 i
2 21
61, 0
2 24
56 53
5^ 53
56 53
5
24
60 59
60 2059 42
2 24
61, 8
2 27
57 5
57 3
57 1
5
27
61 0
60 2159 43
2 27
62, 3
3 0
57 1-6
57 12
57 9
6
0
6r 0
60 2i|59 43
3 0
62, 5.
TABULA MOrUUM HORARIORUM, DIAMETRORUM
ET PARALAXIUM SO LIS ET LUNM, IN ECLIPSIBUS.
Jnom.
med.
QMot.
Diam.
jjnom.
Ar!,um
B ;ife.
B Diam
B Paralhrg"'»
Z>/;/?. G ?a- Aug. Dia'»
So/is.
H. 'ver.
Soli!.
So lis.
Ann.
Hor. -ver
Horiz.
Horia.
yhti.
•vert. 0 ^'Ifog. Peng.
s o
1 II
1 II
0 1
i 0
1 1
1 II
1
II ' '
_£r- II JL. JL.
O o
2 23
31 3B
13138
oXII
25
0. C
5
29 33
29 34
29 25
52 2^
^oXIll 0 o|29 36
5
2 23
29 25
53 29I25
3 128 36
6 1 28 36
lO
2 23
31 3«
20
10
29 3ft
29 26
53 3
ao
15
2 23
31 39
15
15
29 39
29 28
53 35h5
9 2 28 36
20
2 23
Isi 40
10
20
29 45
29 30
53 4
10
12 327 35
25
2 23
'31 41
5
25
29 53
29 34
53 4^
^ 5
15 3 27 35
1. 0
5
2 24
2 24
I31 42
0X1
1. 0
30 I
29 40
53 5/
• 0X1
1« 4 27|34
31 43
25
5
30 n
29 46
54 7
25
21 4 26 '34
10
2 24
'31 45
20
10
30 22
29 51
54 ife
20
24 526 33
27 625 32
15
2 24
31 47
15
^5
30 36
29 5«
54 32
^5
20
2 25
31 49
10
20
30 50
3° 5
54 45
10
30 624 31
2^
2 25
31 SI
5^
..^^
31 6
30 14
55 0
5
33 7^^ 30
11. fe
2 25
3x53
oX.
11. 0
31 23
30 23
55 16
oX.
36 1 723 29
5
2 26
31 56
25
5
31 42
3° 32
55 33
2?
39 8 22 28
10
2 26
31 59
20
10
32 I
30 42
55 5'
20
42 821 27
^5
2 26
32 I
15
'5
32 23
30 52
56 10
'5
45 920 25
20
2 27
32 4
10
20
32 45
31 3
56 30
10
48 9 19 24
25
2 27
32 7
5
25
33 «
31 H
56 49
^
51 9 'I 23
m.o
2 28
32 10
olX
lil.o
33 32
31 25
57 9
oIX
54 10 16 21
5
2 28
32 13
25
5
33 56
31 36
57 29
2>
56 10 16 20
10
2 28
32 15
20
10
34 21
31 47
57 49 20
58 10 15' 19
15
2 29
32 18
^5
15
34 45
31 5«
58 9
^5
60 10 /4 18
20
2 29
32 21
10
20
Z5 «
32 9
58 28
10
62 11 13 17
2?
2 30
32 23
•''..,
. ^■'f
35 31
32 20
5« 47
f
64 1 1 12 16
IV. 0
2 30
32 26
oVIII
IV. 0
35 54
32 3°
32 39
59 5
3V111
66 II II I J
5
2 31
32 29
25
5
36 14
59 23 i
^f
68 11 10 13
10
2 31
52 31
20
10
36 34
32 4«
59 40
iO
70 II 10 12
ij
2 31
32 33
15
15
3f> 53
32 S7
59 55
•?
72 II 9 "
20
2 32
32 35
10
20
37 ^0
33 5
60 10
10
74 12 8 10
2T
2 32
32 37
5
25
37 24
33 ^2
60 23
5
76 12 7 9
V. 0
2 32
32 39
oVll
V. 0
37 39
33 18
60 34c
)VII
78 12 6 7
5
2 32
32 40
^5
5
37 50
33 24
60 44:
-^
80 12 5 6
10
2 33
32 41
20
10
38 0
33 28
60 52:
0
82 12 4 5
M
2 33
32 42
^5
15
38 6
33 3'
60 58
5
84 12 3 4
20
2 33
32 43
10
20
3« H
33 34
61 3
0 ■
86 12 2 2
25
2 33
32 43
5
25
3« 17
33 36
61 6
^
88 !2 I 1
VI.0 2 33 1
32 43
oVJ
Vj.o
38 18
33 36
61 7
dVI,
90 12 0 0
/k Oppofttionibus ndda7i:ur
\
1 Signa
Argumm
!? /f«;7ai;
i: ABU LA REF RA C TI 0 NU M
SECUNDUM D ISTANTIAS
a FERTICE.
Dijl.
App.a
tio.
Difi.
tio.
Diji.
Jpp. a
Refrac-
tio.
Verthe
Fertice
Gr.
1 11
Gr.
A //
Gr. m.
1 II
— -^—
O
0 0
35
0 38
70 0
2 26
I
0 I
36
0 39
71 0
2 34
2
0 2
37
0 40
72 0
2 43
2
0 3
38
0 42
73 0
2 52
4
0 4
39
0 44
74 0
3 4
5
0 5
40
0 45
75 0
3 17
6
0 6
41
0 47
'j6 0
3 31
7
0 7
42
0 48
77 0
3 47
8
0 8
43
0 50
78 0
4 5
9
0 9
44
0 52
79 0
4 27
— — —
lO
0 10
45
0 54
8o_ 0
4 52
II
0 II
46
0 ^6
80 30
5 6
12
0 12
47
0 58
81 0
5 22
13
0 13
48
I 0
81 30
5 40
H
0 14
49
I 2
82 0
6 0
15
0 15
50
I 4
82 30
6 22
16
0 16
51
I 6
83 0
6 47
17
0 17
52
I 8
83 30
7 14
18
0 18
53
I 11
84 0
7 45
19
0 19
54
I 13
84 30
8 21
, — ,
20
0 20
55
I 16
85 0
9 2
21
0 21
56
I 19
85 30
9 50
22
0 22
57
I 22
86 0
10 48
23
0 23
58
I 25
86 30
II 57
24
0 24
59
I 28
^7 0
13 20
25
0 25
60
T 32
87 30
15 2
26
0 26
61
I 36
88 0
17 8
27
0 27
62
I. 40
88 15
18 22
28
0 28
^3
I 44
88 30
19 46
29
30
0 30
0 31
64
65
I 49
88 45
89 0
21 20
23 7
I 54
31
0 32
66
I 59
89 15
25 II
32
0 34
67
2 5
89 30
27 35
33
0 35
68
2 11
89 45
30 24
34
0 36
69
2 18
90 0
33 45
TABULA M^UATIONUM LUNM IN STZTGIIS.
Argumentum A?ininim.
Solab
Sig. 0.
Sig. I.
Sig. II.
Sig. III.
Sig. IV.
Sig. V.
Ajog.
Luna
Subfr.
Subtr.
Siibtr.
Subtr.
,Sa^/r.
Subtr.
-gT.
0 / n
0 / /;
^ 1 II
0 1 II
0 / //
0 1 It
o
000
2 38 53
4 27 45
4 57 46
4 8 20
2 19 27
30
I
"^ 5 Z^
2 43 33
4 30 6
4 57 20
4531
2 15 7
29
2
0 II 12
2 48 9
4 32 21
4 56 49
4 2 38
2 10 45
28
3
0 16 47
2 52 42
4 34 31
4 56 12
3 59 41
2 6 22
27
4
0 22 23
2 57 11
4 36 35
4 55 29
3 56 39
2 I 57
26
5
0 27 58
3 J 37
4 38 34
4 54 42
3 53 35
^ 57 31
25
6
0 33 33
3 5 59
4 40 27
4 53 50
3 50 28
I 53 2
24
7
0 39 6
3 10 16
4 42 15
4 52 52
3 47 16
I 48 31
23
8
0 44 38
3 H 30
4 43 58
4 51 48
3 44 I
I 43 59
22
9
0 50 9
3 18 40
4 45 35
4 50 40
3 40 42
I 39 26
21
lO
0 5.? 40
3 22 45
4 47 5
4 49 26
3 37 18
I 34 52
20
II
I I 9
3 26 45
4 48 30
448 7
3 33 52
I 30 16
19
12
I 6 37
3 30 41
4 49 50
4 46 44
3 30 22
I 25 38
18
13
I 12 4
3 34 33
4 51 5
4 45 16
3 26 49
I 20 58
17
M
I 17 30
3 38 20
4 52 13
4 43 42
3 23 14
1 16 j8
16
16
I 22 53
I 28 13
3 42 2
4 53 15
4 42 4
3 19 36
3 15 54
I 31 37
^5
14
3 45 40
4 54 13
4 40 21
^ 6 55
17
J 33 31
3 49 H
4 55 5
4 38 33
3 12 lo
I 2 13
13
18
I 38 48
^ ^l ^?
4 55 51
4 36 41
3 8 22
0 57 30
12
19
J 44 3
3 56 6
4 56 32
4 34 44
3431
0 52 45
II
20
I 49 16
3 59 24
4 57 7
4 32 42
3 0 38
0 48 0
10
21
I 54 27
4 2 37
4 57 36
4 30 35
2 56 42
0 43 14
~
22
1 59 36
4 5 46
4 57 59
4 28 24
2 52 44
0 38 28
8
23
2 4 41
4 8 49
4 58 16
4 26 9
2 48 43
0 33 41
7
24
2 9 43
4 II 47
4 58 29
4 23 50
2 44 39
0 28 52
6
25
2 14 43
4 H 40
4 58 35
4 21 25
2 40 32
0 24 4
5
26
2 19 41
4 17 27
4 58 36
4 18 56
2 36 24
0 19 16
4
27
2 24 35
4 20 8
4 58 31
4 16 23
2 32 14 0 J4 27I
3
28
2 29 24
4 22 46
4 58 22
4 13 46
2 28 I
0 9 38
2
29
2 34 10
4 25 19
4 58 7
4 II 5
2 23 45
0 4 49
I
30
2 38 SI
4 27 45
4 57 46
4 8 20
2 19 27
000
0
—
—
.
Sig. XL
Sig. X.
Sig. IX.
Sig.VIII.
Sig. VII.
Sig. VI.
Gr.
Adde.
Adde.
Adde.
Adde.
Adde.
Adde.
TABULA LAr ITU D I NARIA LUNM
IN STZTGIIS.
Soils a Nodo medio difiantia.
Argu-
5ig. 0. Bor.
5»*?^.
Inclinatio
Sig. I. Bor.
Subtr.
Sig. 2. 5ffr.
Sa*/r.
Lati-
3ig. 6. ^«/.
Subir.
via Luna
ad Eclip-
ticam.
Sig.y. Aufi.
Subtr.
Sig 8. AuJ}.
^«^-- =^
»/..
Latitudo.
Redua.
Latitudo.
Redica.
Latitudo.
iJ^^;;^.
Gr.
o
0 1 /1
000
1 II
0 1 II
0 1 //
2 30 12
1 II
6 I
6 8
0 / //
4 19 39
/ //
5 59
5 51
30
29
0 0
0 14
5 17 20
0 5 15
5 17 J7
2 34 42
4 22 13
2
0 lo 30
0 29
5 17 8
2 39 9
6 14
4 24 42
5 43
28
^
0 15 44
0 43
5 16 54
2 43 34
6 2G
4 27 6
5 35
27
4
0 20 59
0 58
5 »6 33
2 47 56
6 26
4 29 25
5 26
26
5
0 26 13
I 12
5 16 6
2 52 15
b 31
4 31 40
5 17
25
6
0 31 26
I 26
5 15 33
2 56 30
6 36
6 40
6 43
4 33 49
^ ?
24
7
0 36 39
I 41
5 H 55
3 0 42
4 35 53
458
23
8
0 41 51
I 55
5 H 11
3 ^ 51
4 37 52
4 48
22
9
0 47 2
2 9
5 ^3 22
3 8 56
6 46
4 39 47
4 37
21
lo
11
0 52 13
2 22
2 36
5 12 27
3 12 58
3 i6 56
6 49
6 52
6 54
4 41 37
4 26
20
'9
0 57 23
5 II 26
4 43 21
4 15
12
I 2 31
2 49
5 10 19
3 20 51
4 45 0
4 3
18
I,^
I 7 3-8
3 3
596
3 24 42
!; ^.^
4 46 34
3 51
17
H
I 12 44
3 15
5 7 47
3 28 29
6 56
448 3
3 39
16
15
16
I 17 49
I 22 52
3 29
3 41
5 6 22
3 32 12
6 56
6 54
4 49 26
3 27
3 14
»5
14
5 4 52
3 35 5^
4 50 44
17
I 27 54
3 53
5 3 16
3 39 26
4 51 57
3 I
13
18
I 32 54
4 5
5 I 35
3 42 57
t» 53
4 53 4
2 48
12
19
I 37 52
+ 'Z
4 59 49
3 46 24
4 54 6
2 35
11
20
21
I 42 49
I 47 44
4 28
4 39
4 57 56
3 49 4^
6 49
6 46
4 55 3
2 21
2 8
10
9
4 55 58
3 53 7
4 55 55
22
I 52 37
4 50
4 53 55
3 56 22
^5 43
6 39
4 56 42
I 54
8
23
I 57 27
5 0
4 51 47
3 59 33
4 57 23
I 40
7
24
2 2 15
5 10
4 49 33
4 2 39
035
6 30
625
4 57 58
1 26
6
25
26
2 7 00
5 20
5 29
4 47 H
4 44 50
4 5 40
4 58 27
I 12
5
4
2 II 43
4 8 36
4 58 51
058
27
2 ]6 24
5 3«
4 42 20
4 11 28
6 19
6 13
6 6
4 59 10
043
3
28 2 21 2
5 4t>
4 39 45
4 14 16
4 59 24
0 29
2
29 2 25 38
5 54
4 37 5
4 17 0
4 59 32
0 14
I
30
2 30 12
t) I
Adde.
4 34 19
4 19 39
Sig. 10. Aufi.
5 59
Adde.
4 59 35
0 0
0
Gr
Sig.ii,^»/.
Sig 9. Auji
Adde.
ISig. 5. Bor.
Adde.
Sig. 4. 5.r.
Adde.
Sig. 3- ^^»--
Adde
■
—
TABVLA MOTVVM HORARIORV M, DIAMETRORVM
ET PARALLAXIVM SOLIS ET LV N^, IN ECLIPSIBVS
Atmn.
mcd.
Soils.
S 0
Hor. 0
i5/^w.
Amm.
Argum.
) Mot.
5 nlsim.
'^ParaU.
^r-«r^,
Alt.
Q&
>
0
'aral-
^«,. D/.. 1
T;«r.
SoUs.
Soils.
0 i
Anil.
S 0
0. 0
Hor. Vcr.
Bwiz.
Horix..
Ann.
0 5
0X11.
25
Apog
Perig.
II
/ //
2 23
1 II
1 It
1 ii
1 II
O. o
31 38
oXlI.
29 33
29 25
53 28
.0
12
0
0
5
2 23
31 3S
25
5
29 34
29 25
53 29
2
12
I
I
ro
3. 23
31 3«
20
10
29 36
29 26
53 31
20
4
12
2
2
15
2 23
31 39
15
15
29 39
29 28
53 35
15
6
12
3
4
20
2 23
31 40
10
20
29 45
29 30
53 41
10
8
12
4
5
25
2 23
31 41
5 ,
25
29 53
29 34
53 4«
5
10
12
5
6
1. 0
2 24
31 42
oXi.
1. 0
5
30 I
29 40
53 57
0X1
12
12
6
7
5
2 24
31 43
25
30 II
29 46
54 7
25
H
1 2
7
9
10
2 24
31 45
20
10
30 22
29 51
54 1«
20
16
12
8
10
I)
2 24
31 47
15
15
30 36
29 58
54 32
15
18
12
9
II
20
2 25
31 49
10
20
30 50
30 5
54 45
10
20
12
10
12
25
2 25
31 51
.5
25
31 6
30 14
55 0
5
22
12
10
T3
11. 0
2 25
31 53
.oX.
11. 0
31 23
30 23
55 16
oX.
24
l6~
1 1
II
II
12
15
1.5
5
2 26
31 56
25
5
31 42
30 32
55 33
25
.10
2 26
31 59
■ao
10
32 I
30 42
55 51
20
28
II
13
17
15
2 26
32 I
15
15
32 23
30 52
5<5 10
15
30
1 1
14
18
20
2 27
32 4
10
■ 20
32 45
31 3
56 30
10
32
ro
15
19
25
2 27
32 7
5
25
33 «
31 14
56 49
5
34
10
16
20
111.0
2 28
32 10
olX
lll.o
33 32
31 25
57 9
olX.
36
10
16
21
5
2 28
32 13
25
5
33 5^
31 36
57 29
25
39
10
18
23
10
2 28
32 15
20
10
34 21
31 47
57 49
20
42
9
19
24
15
2 29
32 18
15
15
34 45
31 5^
58 9
15
45
9
20
25
20
2 2p
32 21
10
20
35 «
32 9
58 28
10
48
8
21
27
25
2 30
32 23
5
25
35 31
32 20
58 47
5
51
8
22
28
IV. 0
2 30
32 26
oVlll
IV. 0
35 54
32 30
59 5
oVIIl
25
54
57 ^
7
23
23
29
30
5
2 31
32 29
25
5
36 14
32 39
59 23
10
2 31
32 31
20
10
36 34
32 48
59 40
20
60
6
24
31
I)
2 31
32 33
15
15
36 53
32 57
59 55
15
63
6
25
32
20
2 32
32 35
10
20
37 10
33 5
60 10
10
66
5
26
Id
25
2 32
32 37
5
25
37 24
33 12
60 2^
5
69
4
26
34
V. 0
2 32
32 19
oVll.
V. 0
37 39
33 i^
<5o 34
oVlI,
25
72
75
4
3
27
27
!1
35 -
5
2 32
32 40
1
25 1
5
37 50
33 24
c5o 4.1
10
2 33
32 41
20
10
38 0
33 20
60 52
20
7B
3
27
35
15
2 33
32 42
15
15
38 6
33 3^
60 58
15
81
28
3<5
20
233
32 43
10
20
38 14
33 34
61 3
10
84
I
28
,6
25
2 33
32 -43
5
25
3i^ 17
3 3 36
61 6
5
87
1
28
i6
Vi.o
2 33
32 43
0 V i,
VI. 0
38 18
33 36'
61 7
oVI.
90
0
29
35
f p
ECLIPSIVM SOLARIVM PERIODVH PLINIJNA
CVRRENTIS SECVLI XIIXvi PRIMA
fi! ■jidl.
Med EcUpJis Solis^ _
Temp. jEqnat. Londini.
D. H. ,
"^m. 27 1 1 6
J id. 23 21 30
Anomalia media
Soils.
Argumentum
Annmim.
hat. Lu-
na a sale.
PlagaLurtje.
S 0.
S. 0.
II 7 27
4 10 37
9 16 47
2 20 47
7 26 20
I 0 44
5 9 30
6 6 3
' ."
. I70I
1702
1703
1704
1705
7 10 8
I 5 I
35 20
2d 22
3 35
■18 14
3 or. ajc.
Aufl. defi,
Aujt. ajc.
Bor. defc.
Aufl. afc.
Bor. defc.
Bor. afc.
Aufl. afc.
Jan. 16 13 42
Jul. 13 9 39
6 29 9
0 24 25
6 18 27
0 13 32
5 8 57
d 7 58
Ja, 5 23 27
JuL 2 14 364.
Nov. 27 3 44
Dec. 26 14 15
43 50
dl 0
79 13
84 20
Mail 22 I 7
Nov. 15 17 3-8
Mail II 7 55
Nov. 5 I 20
^^r. 30 21 34
Oaoh. 25 2 19
II 3 18
4 28 25
10 15 27
3 19 13
8 25 26
I 28 45
51 33
38 37
8 26
I 29
36 12
40 21
80 24
81 33
78 36
"33 21
39 43
7 2d
4 3°
Aufi. dejc.
Bor. afc.
Auji. dsjc.
Aufl. afc.
Bor. deJc.
Aa(t. afc.
10 22 28
4 17 38
1706
10 II 56
4 ^ 35
10 I 32
2 26 17
3 25 30-
7 5 37t
0 8 3
1707
1708
1709
1710
1711
Apr. 20 14 19
^f/'/^. 14 II 4^
Oi^c^. 14 2 i5
Mart. 10 18 53
Sept. 2 21 0
5 16 27
9 20 40
10 17 23
Bor. dejc.
Bor. afc.
Aufl. afc.
8 22 2
2 15 35
3 0 27
8 I 14
Aujt. defc.
Bar. afc.
/v^. 28 0 17
Aug. 23 12 35
8 II 10
2 5 8
1 10 2
6 II 23
II 19 24
4 21 37
9 28 45
2 d 42
7 II 45
0 1(5 36
5 21 31
10 26 24
4 I 14
9 d 23
2 10 4d
d 21 33
11 23 28
Bor. dejc.
Aufl. afc.
/v^. 17 0 14
Aug. 13 5 16
804-
I 24 43
7 19 I
0 15 7
6 9 114^
0 4 10
5 28 44
II 23 6
5 18 14
11 12 13
5 7 31
10 2 44
3 27 10
9 22 20
3 i^ 7
4d 31
49 15
Bor. dtfc.
Aufr. afc.
Bor. dejc.
Bor. afc.
Aufl. defc.
/"f^. 6 I 38
Julii 4 7 20
Dec. 27 22 I
jf««, 22 10 341-
Dec. \6 13 27
Jan. 11 II 18
'Dec. 642
/W4« 31 1 5 44
Nov. 2J 13 28
^/)r. 21 21 354-
Ociob. 15 20 55
84 45
dl 10
38 58
I7I2
I713
1715
18 43
2 35
23 40
43 49
66 25
83 8
43 25
42 37
Bor. ajc.
Bor. defc.
Aujt. afc.
Bor. defc.
Aujt. ajc.
Bor. defc.
Bor. ajc.
Aufl. defc.
1716
I7I7
17 TT
^/T. 10 14 27
OiS't?^. 3 22 6
5 I 4^
10 2 534,
I 19
3 2
45 5
38 30
74 30
85 7
81 t
Aujt. afc.
Aufl. defc.
A/4r^ 31 4 35
Sspt. 23 6 21
/^fi-. 18 19 30
Ma,rt. 20 12 5
Se^t. 12 20 38
9 II 49
3 5 21
3 II 51.1
8 12 37
0 25 31
1 21 39
6 22 38
Aufl. afc.
Bor. dtfc
8 1 45
9 1 14
2 24 50
Bor. ajc.
Aufl. afc
Bor. dtfc.
ECLIPS IVM LVNA
CVRRE NT IS
RIVM PERIODVS PLI
S ECV LI XllXvi PRIM
NIANA
A.
yinm Chri
I7OI
1702
1703
1704
1706
1707
I7IO
I7II
I7I2
I713
1714
I715
7717
T7'l8"
Med. Ediffis Luna
Temf. Mcfuat. Londii
D.
H. ,
Aug.
Dec.
II
_J7.
22
II 25»
I 32
18 59
Jufi.
Dec.
17
II
13 10
18 30
Jun.
Nov.
6
29
6 24
ip 10
Apr.
OBuh.
16
10
13 33^
6 56
Apr.
Sept.
5
29
13 38^
22 25
Man.
Sept.
24
18
17 38
8 59
Feb.
Jul
2
28
10 494-
22 0
?:t
23
18
0 324.
5 52
Jul.
12
6
7 47
20 i9i.
Mati
Nov.
Mm
Nov.
28
20
"17"
10
6 30
15 16
I 4
Mail
OBob.
7
30
0 31
16 0
Mart,
Sept.
15
15 15
5 $6
Mart.
Aug.
5 3 5»
29 7 52
/??;5?
Soli,.
S.
°- ,
7
1
24 56
18 59
6
4 28
II
28 41
23 21
II
5
18 17
12 17
9
3
27 49
21 59
9
3
16 43
II 32
9
3
5 47
0 52
7
I
15 43
9 38
7
0
5 II
28 52
6
0
24 23
18 214.
1 1
5
9 6
2 55^
10
4
28 31
22 14
10
4
17 384-
II 45
8
2
26 29
21 32
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2 10 ;i
Argumentum
Annmim.
s.
O- /
II
4
20 5I1
2 2 42
7
13 32
0
5
17 58
22 41
10
4
28 22
I 53
6
II
23 19
24 55
5
10
2 56
4 53
3
8
12 37
14 43
II
4
6 254.
8 314-
9
16 II
18 32
7
0
25 40
28 49
10
3
14 22
17 15
8
I
24 34
26 494.
7
0
4 29
6 38
2
8
28 18
0 23
I 8 12
6 10 I
Plaga Lunte.
Bor. dejc.
Au(i. a]}.
Aujt. dejc.
Bor. ajc.
Bor. defc.
Auji. afc.
Bor. defc.
Bor. ajc.
Aufi. dfc.
A.'tji. ajc.
Bor. defc.
Aujt. Ajc.
Bor. defc.
Bor. ale
Aufi. defc.
Aujt. afc.
Bor, dfc.
Auji.~'alc.'
Bor, defc.
Auji. def.
Bor. afc.
Au'it. dtjc.
Bor. afc.
Bor. d^Jc.
Aufl. afc.
Auji. defc.
Bor. afc.
Bor. dejc.
Aufi. afc.
In hac itaq; Eclipfnim Periodo habentur XKIX Eclipfes Lunares &
XLI Solares, aliafq; quinq; quas, ne inutiliter ultra termlnos Paginx noftrx
exciefceret earum Catalogus, confuko oinifimus. Quatuor autem obtin-
gunt in extremis tantum partibas TerriE, juxca Polum Auftrinum, ac ubi
maxiiHJE non nifi ad paucos Digitos aiTurgunr, atq; infupcr poit aliquot
Periodos, defcendente Luna in Auftrum, Penumbra ejus Terrse difcum
deferet. Fiunt vero in Noviluniis Murtti 1707, Januarii ijn., Octohis
1714, & Augujii 1718. Quinta Maii x^"" 1714» unius tantum erat Digiti
prope Polum Boreum, ita uc Novi'.uniurri Mm ij^z non erit Eclipticunfc
TJBVLJ yEOVJTIONIS INTERVALLI ECLIPSIVM\
POST PERIODVM P L I N I A N A M.
Anom.
Hinut .Te»jp .
D/f.
Amm.
771" d
M/MKf. r««j>.
D/f
^.5«-
Minut. Temp.
Argu-
Mhiut. Temp.
Soils.
Snkr.
Z.«J.
Sola.
Mde.
Lat.
Aim.
Sukr.
Ami.
Aide.
S o
1 II
/ ii
>■ c
1 II
1 II
S 0
1 II
S 0
1 II
O O
45 2
4 =7
VI. 0
46 54
0 23
0. 0
29 7
VJ.o
25 5
5
44 30
4 26
5
46 19
0 24
5
29 5
5
25 3
lO
43 44
4 24
10
45 22
0 26
10
28 44
10
24 50
15
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15
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0 29
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15
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20
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4 16
20
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0 34
20
27 18
20
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25
39 25
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25
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0 39
25
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25
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1. 0
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4 6
Vile
5
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0 46
1. 0
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Viio
22 41 1
5
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4 0
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0 53
5
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5
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10
32 30
3 5 3
10
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I 0
10
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10
20 38
15
29 41
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15
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X 8
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19 ^40
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20
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20
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25
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25
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25
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II. 0
19 55
3 19
VlUo
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[I. 0
5
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VIIIo
15 0
5
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5
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5
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10
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10
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15
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2 49
15
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2 7
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9 19
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15
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5
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5
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10
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10
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15
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0 52
15
35 21
4 0
15
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15
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20
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0 45
20
37 38
4 6
20
20 0
20
20 30
25
40 40
0 39
25
39 55
4 12
25
21 10
25
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V. 0
42 37
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5
41 17
4 17
V. 0
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5
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5
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25
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25
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VI..0
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4 27iVI.o
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EPOCHM MEDIORVM MOTVVM
MERCVRIL
Annis
1
4nnfs
full.
Mercurius ab
^pb.^ Nol^l
Juli. Mercurius ab
Aphel 5
NoJ.^
an'is
JEquinoS.
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anis
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5^12°
b 14'
tibus.
So,//
/ //
/ //
tibus.
S 0 , ,i
0 / //
0 / //
l66i
3 17 18 47
9 15
14 50
1696
1 10 9 17
39 54
44 0
6i
511 I 49
10 7
1540
91
9 7 57 51
4047
44 50
63
7 4 44 51
II 0
Id 30
98
II 14053
41 40
45 40
64
8 28 27 53
II 52
17 20
99
0 25 23 55
42 32
4d 30
166%
1^66
10 25 16 27
12 45
18 10
1700
1701
2 19 d57
43 2-5
47 20
48 10
0 IP J9 2P
13 37
19 0
4 Id 55 32
4418
67
2 1342 31
14 30
19 50
2
6 10 38 34
45 10
49 0
68
4 725 33
15 22
20 40
3
8 4 21 36
4d 3
49 50
69
6 5 14 8
Id 15
21 30
4
9 28 4 38
4^ 55
50 40
1670
7 28 57 10
17 8
22 20
1705
1706
II 25 53 12
4748
51 30
52 20
9 22 40 12
18 0
23 10
I 19 36 14
4840
72
II 16 23 14
1853
24 0
7
3 13 19 Id
49 33
53 10
73
I 14 II /i^
1946
24 50
8
5 7 2 18
50 25
54 0
74
3 7 54 51
20 38
25 40
9
7 450 53
51 18
54 50
1575
1675
5 1 37 53
21 31
2d 30
1710
17H
82833 55
52 II
55 40
6 2$ 20 55
22 23
27 20
10 22 id 57
53 3
56 30
77
8 23 9 29
23 16
28 10
12
0 15 59 59
53 56
57 20
78
10 16 52 31
24 8
29 0
13
2 13 48 33
5449
58 10
19
01035 33
25 I
29 50
14
4 731 35
55 41
59 0
1680
1681
2 4 18 35
25 53
3040
1715
lyid
d I 14 37
5634
5950
4279
26 46
31 30
7 24 57 40
57 2d
15 0 40
82
5 25 50 II
2738
32 20
17
9 22 4d 14
5819
I 30
«3
7 19 33 13
28 31
33 10
18
II Id 29 Id
59 11
2 20
84
9 13 16 15
29 23
34 0
19
I 10 12 18
13 0 4
3 10
1685
1686
II II 4 50
30 16
34 50
1720
1721
3 3 55 20
056
I 49
4 0
I 44752
31 9
35 40
5 I 43 55
4 50
«7
2 28 30 54
32 2
3d 30
22
d 25 2d 57
2 41
5 40
88
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32 54
37 20
23
8 19 9 59
3 34
d 30
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6 20 2 30
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24
10 12 53 I
4 2d
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1690
1691
8 1345 32
34 39
39 0
1725
1726
0 10 41 35
5 19
8 10
9 0
10 7 28 34
35 32
39 50
2 42437
d 12
92
0 I II 36
3624
4040
27
3 28 7 39
7 5
9 50
9S
I ?9 0 II
37 17
41 30
28
5 21 5041
7 57
10 40
94
3 a* 43 13
3« 9
42 20
29
7 19 39 15
8 50
. ii'3«>
\i695
5 16 26 15
39 2
43 10
1730
9 13 22 17
942
12 20
<iq
EPOCHS MEDIORVM MOTVVM MERCVRJL
Jntiis
full-
afiis
Mercurhs ab
4?k5
Nod.-^
Annis
Mercurius ab
Afhel >i Nod. ^
jEqinnoU.
/12"
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anis
MquinoS.
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« 15°
tibui.
1731
S 0 / /1
/ //
/ //
tibus.
lj66
So 1 11
0 / //
0 / n
II 7 5 19
10 35
13 10
3 4 I 22
41 15
42 20
32
I 0 48 2 1
II 27
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67
4 27 44 24
42 8
43 10
33
2 28 36 56
12 20
14 50
68
6 21 27 26
43 0
44 0
34
4 22 ip 58
13 12
15 40
69
8 19 i5 I
43 53
44 50
1735
(5 16 3 0
14 5
16 30
1770
1771
10 12 59 3
44 4^
45 38
4540
46 30
8 9 46 2
H 57
17 20
0 6 42 5
37
10 7 34 36
15 50
18 10
72
20257
46 30
47 20
38
0 I 17 38
1643
19 0
73
3 28 13 41
47 23
48 10
39
125 p 40
17 35
19 5^
74
5 21 5643
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49 0
1740
1 741
3 18 43 42
18 28
20 40
1775
177&
7 15 39 45
49 8
50 0
49 50
5040
5 16 32 17
19 21
21 30
9 9 22 47
42
7 10 15 19
20 13
22 20
77
II 7 II 21
51 53
51 30
43
9 3 58 21
21 6
23 10
7«
I 0 54 23
► 51 4f
52 20
44
10 27 41 23
21 58
24 0
79
2 24 37 25
52 38
53 10
1745
1746
0 25 29 5:7
22 51
24 50
1780
1781
4 18 20 27
53 31
54 0
2 19 12 59
23 43
25 4°
61692
5424
5450
47
4 12 5(5 I
2436
26 30
82
8 952 4
55 16
55 40
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6 639 3
25 28
27 20
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10 3 35 6
56 8
56 30
49
8 42738
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28 10
84
II 27 18 8
57 I
57 20
1750
1751
9 28 10 40
27 14
29 0
1785
1786
I 25 6 42
57 54
58 10
II 21 53 42
28 6
29 50
3 18 49 44
58 4.S
59 0
52
I 15 3644
28 59
3040
«7
5 12 32 46
59 39
59 50
53
3 13 25 18
29 52
31 30
88
7 6 15 48
14 0 31
16 0 40
54
5 7 8 20
JO 44
32 20
89
9 4 423
I 24
I 30
1755
7 0 51 22
31 37
33 10
1790
10 27 47 25
2 17
2 20
1756
8 24 34 24
32 29
34 0
1791
0 21 30 27
3 9
3 10
57
10 22 22 59
33 22
34 50
92
2 15 13 29
4 2
4 0
5«
0 16 6 J
3414
.35 40
93
413 2 3
4 55
450
59
2 949 3
35 7
3630
94
6 645 5
5 47
540
1760
1 761
4 3 32 5
35 59
37 20
1795
1796
8 0 28 7
6 40
6 30
6 I 20 39
3652
38 10
9 24 II 9
7 32
7 20
52
7 25 3 41
37 44
39 0
97
IX 21 5944
825
8 10
6s
9 18 4643
3« 37
39 50
98
I 15 42 46
9 17
9 0
64
11 12 29 45,
19 29
40.40.
99
3 9 25 48
lo 10
9 5^
1765
1 10 18 20
40 22
41 30
1800
5 3 850
I 112
10 40
ME D IV S MO TV S M E R C V R I I
AD DIES MENS IV M.
Die
Men.
A
I
2
3
4
5
7
8
9
lO
II
12
13
H
15
i5
17
18
19
20
21
22
23
24
25
2d
27
28
29
30
31
JANUARJl
FEBRUARII
MARTII
■■
APRILIS
Medirts Motm
Menurit.
A/ «i//Kr Motui
Mtrcurii.
Meditii Mottis
Mercurii,
Medius Motm
Mercurii.
Soil,
Soli,
So 1 „
Sol//
0 4 5 32
0 8 II 5
0 12 \6 37
0 16 22 10
0 20 27 43
4 10 57 21
4 15 2 54
4 19 8 26
4 23 13 59
4 27 19 31
8 5 32 33
S 9 38 6
8 13 43 38
8 17 49 II
8 21 54 44
0 12 24 22
0 16 29 55
0 20 35 27
0 24 41 0
0 28 45 32
0 24 33 15
0 28 38 48
1 2 44 20
I 6 49 53
I 10 55 25
5 I 25 4
5 5 30 37
5 9 36 9
~ 5^ 13 41 42
5 17 47 15
8 25 0 i5
9 0 5 49
9 4 II 21
9 8 i5 54
9 12 22 25
I 2 52 5
I 5 57 37
III 3 10
^ ri5 843
I 19^ 14 15
115 0 58
I 19 6 31
I 23 12 3
1 27 17 36
2 I 23 9
5 21 52 47
5 25 58 19
6 0 3 52
64 9 25
6 8 14 57
^ 9 i5 27 59
9 20 33 32
9 24 39 5
9 28 44 37
10 2 50 9
. I 23 19 48
1 27 25 20
2 I 30 53
2 5 3^ 25
2 9 41 58
2 5 28 41
2 9 34 13
2 13 39 46
2 17 45 19
2 21 50 51
6 12 20 30
6 Id 25 2
5 20 31 35
5 24 37 7
. 5 28 42 40
10 5 55 42
10 ir I 14
10 15 6 /^6
10 19 12 19
10 23 17 51
2 13 47 30
2 ,17 53 3
2 21 58 35
2 25 4 8
3 0 9 41
2 25 56 23
3 0 I 56
3 4 7 28
3 8 13 I
3 12 18 34
.7 2 48 12
7 6 53 45
'7 10 59 17
7 15 4 50
7 19 10 22
10 27 23 24
11 I 28 55
II 5 34 29
II 9 40 I
" 13 45 34
3 4 15 13
3 8 20 45
3 12 25 18
3 i^ 31 51
3 20 3723
3 16 24 6
3 20 29 39
3 24 35 11
3 28 40 44
4 2 46 17
7 23 15 55
7 27 21 28
8 I 27 I
/«^««oBiffex-
til'i pofl Februa-
fium a<?ifi z/k/kj
die'nnoUim. ^ , ^^
II 17 51 7
II 21 55 39
II 25 2 12
■ 0 0 7 45
0 4 13 18
3 24 42 56
3 28 48 28
4 2 54 I
4 ^ 59 34
411 5 7
4" ^ 51 49
0 8 18 50
0 13
/ //
Mot.Aph.'
& Nodi. ° ; 4
0 9
0 17
MEDJVS MOTVS M E R C !> R I 1
AD DIES MENS IV M,
Dk
Men.
Jis.
I
.2
3
4
5
6
I
9
lO
II
12
13
14
15
Id
17
18
IP
20
21
22
23
24
25
27
28
29
30
31
MAI I
J U Nil
JULII
AUGUSTI
Meiifis Motm
Mercurii.
Motiu Medius
Mercurii.
Medim MotHi
Mercurii.
Motm Medius
Mercurii.
S 0 / /1
So/ II
S a j II
S 0 1 It
4 15 10 39
4 19 l5 12
4 23 21 44
4 27 27 17
5 I 32 49
8 22 2 28
8 2d 8 0
P 0 13 33
9 4 19 5
p 8 24 38
0 24 48 45
0 28 54 17
1 2 5P 50
I 7 5 22
I ir 10 55
5 I 40 33
5 5 46 d
5 9 51 38
5 13 57 II
5 18 2 43
5 5 38 22
5 9 43 54
5 13 49 27
5 17 55 0
5 22 0 32
9 12 30 10
P 16 35 43
P 20 41 15
P 24 4d 48
P 28 52 20
I 15 Id 28
I IP 22 0
I 23 27 32
1 27 33 5
2 I 38 37
5 22 8 Id
5 2d 13 48
d 0 IP 21
6 4 24 53
6 8 30 2d
5 26 6 5
6 0 II 37
d 4 17 10
6 8 22 43
d 12 28 15
10 2 57 53
10 7 3 25
10 II 8 58
10 15 14 31
10 ip 20 3
2 5 44 10
2 p 49 42
2 13 55 15
2 18 0 48
i 22 d 21
d 12 3j 58
d Id 41 31
6 20 47 3
d 24 52 3d
d 28 58 p
d Id 33 48
d 20 39 20
d 24 44 53
6 28 50 25
7 2 55 58
10 23 25 36
10 27 31 8
11 I 3d 41
II 5 42 14
II p 47 46
2 2d II 53
3 0 17 26
3 4 22 58
3 8 28 30
3 12 34 3
7 3 3 41
7 7 9 14
7 II 14 46
7 15 20 ip
7 19 25 yi
7 7 I 30
7 II 7 3
7 15 12 35
7 19 18 8
7 23 23 41;
IX 13 53 19
II 17 58 51
II 22 4 24
II 2d p 57
0 0 15 30
3 16 39 35
. 3 20 45 8
3 24 50 40
3 28 56 13
4 3 I 46
7 23 31 24
7 27 36 56
8 I 42 2p
8 5 48 2
8 9 53 35
7 27 29 13
8 I 34 ¥
8 5 40 18
8 P 45 51
8 13 51 23
0 4 21 2
0 8 2d 35
0 12 32 7
0 Id 37 40
0 20 43 12
4 7 7 18
4 II 12 51
4 15 18 24
4 19 23 56
4 23 29 28
8 13 5p 8
8 18 4 41
8 22 10 14
8 2d 15 46
P 0 21 18
8 17 5d 56
/ //
4 27 35 I
9 4 2d 51
Mot.Aph. ' "
& Nodi. ° "
0 2d
0 30
0 35
ME D IV S MOT V S M E R C V R I I
JD DIES MENS IV M,
Die
Men.
Jis.
I
2
, 3 ,
4
5
7
8
9
lo
II
12
13
14
15
17
18
19
20,
21
i2
23
24
25
26
27
28
29
30
31
SEPTEMB.
OCTOBRIS
NOVEMB.
DECEMB.
Medius Motus
Mercurii.
MedtHS Motu-s
Mercurii.
Medifts Motm
Mercurii.
Medius Motm
Mercurii.
S 0 1 II
S 0 1 „
S 0 i /J
So,,/
9 8 33 23
9 12 37 56
9 16 43 38
9 20 49 I
9 24 54 33
I II 18 40
I 15 24 13
I 19 29 45
I 23 35 17
I 27 40 50
5 18 10 29
5 22 16 I
5 26 21 34
6 0 27 6
6 4 32 39
9 20 56 45
9 25 2 17
9 29 7 50
10 3 13 23
10 7 18 55
9 29 0 6
10 3 5 38
10 7 II II
10 II 16 43
10 15 22 16
2 I 46 23
2 5 51 5:5
2 9 57 20
2 14 3 0
2 18 8 33
6 8 38 II
.6 12 43 44
6 i6 49 17
6 20 54 49
6 25 0 22
10 II 24 28
10 15 30 I
10 19 35 33
10 23 41 6
10 27 46 38
10 19 27 48
10 23 35 21
10 27 38 54
11 I 44 27
II 5 49 59
2 22 14 5
2 26 19 38
3 0 25 II
3 4 30 43
3 8 3d 16
6 29 5 54
7 3 II 27
7 7 16 59
7 II 22 32
7 15 28 5
II I 52 II
II 5 57 43
II 10 3 16
II 14 8 49
II 18 14 21
II 9 55 32
II 14 I 4
II 18 6 37
II 22 12 9
II 26 17 42
3 12 41 49
3 16 47 21
3 20 52 53
3 24 58 26
3 29 3 59
7 19 33 37
7 23 39 9
7 27 44 42
8 I 50 15
8 5 55 47
II 22 19 54
II 26 25 26
0 0 30 59
0 4 3d 22
0 8 42 4
0 0 23 15
0 4 28 47
0 8 34 20
0 12 39 53
0 16 45 25
4 3 9 31
4 7 15 4
4 II 20 36
4 15 26 9
4 19 31 41
8 10 I 20
8 14 6 52
8 18 12 25
8 22 17 57
8 26 23 30
9 0 29 3
9 4 34 35
9 8 40 7
9 12 45 40
9 i'^ 51 13
0 12 47 37
0 Id 53 10
0 20 58 42
0 25 4 15
0 29 9 47
0 20 50 58
0 24 56 30
0 29 2 3
1 3 7 35
I 7 13 7
4 23 37 14
4 27 42 46
5 I 48 19
5 5 53 51
5 9 59 24
I 3 15 19
I 7 20 52
I II 2d 25
I 15 31 57
I 19 37 30
/ //
5 14 4 56
/ /«-
I 23 43 2
Mot.. '^ ph.
& NoS. ° 39
0 43
0 48
0 52
R r
-f — — • ■ —
MEDII MOrVS MERCVRII JB MQVINOCTlO.
IN ANNORVM CENTVRIIS.
IN HORIS ET MIN.
Jnnit
Julian.
CoHea.
lOO
200
300
.400
JCO
600
700
800
900
1000
IIOO
1200
1300
1400
1500
idoo
1700
1800
1900
2000
2100
2200
2300
2400
2500
2600
2700
2800
2900
'3000
13100
3200
Medm Motm
Mercurii.
Mot. Aphel.
Mercurii.
MotHs IJodi
Mercurii.
Medins Motus Mercurii,
S 0 i il
s 0 , t,
s 0 i n
1
H.
I
2
3
4
5
"d
7
8
9
19
M
12
14
15
Td
17
18
19
20
21
22
23
24
25
26
27
28
29
30
// /// nil
1 II III
0. , 1, .
//
/
H.
31
32
33
34
35
3<^
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
%9
60
tl III nil
1 It III
0. / //
2 14 I 53
4 28 3 46
7 12 5 3^
9 26 7 32
0 10 925
0 I 27 37
0 2 55 14
0 4 22 51
0 5 5:0 28
0 7 18 5
0 I 23 20;
0 12 46 40
04100
0 5 33 20
0 6 56 40
0 10 14
0 20 28
0 30 42
040 55
051 9
5 17 9
5 27 23
5 37 37
5 47 51
5 58 5
2 24 1 1 1 8
5 8 13 II
7 22 15 4
10 6 16 57
0 20 18 50
0 8 45 42
0 10 13 19
0 II 40 56
0 13 8 33
0 14 36 10
0 8 20 0;
0 9 43 2°
0 n 6 40
0 12 30 0
0 13 53 20
I I 23
I II 37
I 21 51
132 5
I 42 18
6 8 18
6 18 32
6 2Z £^6
6 39 0
($49 14
3 42043
5 18 22 36
8 2 24 29
10 16 25 22
I 02815
016 347
0 17 31 24
0 18 59 I
0 20 26 38
0 21 54 15
0 15 1 6 40
01640 0
0 18 3 20
0 19 26 40
0 20 50 0
1 52 32
2 2 46
2130
223 14
2 33 28
65928
7 942
7 19 55
7 30 9
74023
3 1430 8
5 28 32 I
8 12 33 54
lo 26 35 47
I 10 37 40
0 23 21 52
0 24 49 29
0 26 17 6
0 27 44 43
0 29 12 20
0 22 13 20
0 23 36 40
02500
0 26 23 20
0 27 4<5 40
24342
2 53 55
3 4 9
3 1423
3 2437
7 50 37
8 0^51
8 II 5
8 21 19
83132
3 24 3P33
6 8 41 26
8 22 43 19
II 545 12
■ I 20 47 5
I 03957
I 2 7 34
I 3 35 II
I 5 2 48
I 6 30 25
0 29 10 0
1 0 33 20
I I 56 40
I 3 20 0
I 443 20
3 3451
3 45 5
3 55 19
4 5 32
415 46
84146
8520
9 2 14
9 12 28
9 22 42
4 4 48 58
6 18 50 51
9 2 5.2 44
II 16 54 37
2 0 56 30
I 7 58 2
I 92539
I 10 53 16
I 12 20 53
I I 3 48 3 0
I 6 6 40
I 7 30 0
I 8 53 20
I 10 16 40
I 1 1 40 0
4260
4 36 14
4 46 28
45642
5 6 55
9 32 55
9 43 9
9 53 23
10 3 37
10 13 50
4 145823
d 29 016
I 15 16 7
I 1643 44
113 3 20
I 14 26 40
TABVLA JEQJVAT 10 NV M MERCVRIJ.
Jnomalia ntedin Mercuni.
Qr.
o
I
2
3
4
5
7
$
9
Id
1
16
. 17
18
19
20
! 21
22
23
24
26
27
28
. 29
30
/
Sig. 0.
Subtr.
Diff.
i
1
Sig. I.
Suhtr.
Dtf
,
Sig. II.
Suhtr.
Diff.
30
29
28
27
2d
25
24
23
22
21
20
Ip
18
' 17
16
15
14
13
12
J II
10
P
8
7
d
5
4
3
2
I
0 ;
0 y //
, //
0 / //
1 II
0 / /;
1 II
13 55
'13 42
13 30
13 17
13 4
12 51
12 37
12 23
12 10
II 55
II 3P
II 25
II 9
10 54
10 38
10 22
10 5
P4.8
P 32
9 14
8 55
8 37
8 20
8 I
7 42
7 22
7 2
d42
d 22
d 2
000
iP 37
IP 37
iP 37
IP 36
Ip 16
Ip 35
IP 34
Ip 32
Ip 31
ip.30
Ip 28
19 ^6
19 24
19 21
Ip IP
Ip 17
19 14
19 10
IP 7
Ip 5
19 0
18 57
18 53
18 49
18 45
18 40
18 35
18 31
18 26
18 21
P 35 33
18 15
18 10
18 4
17 58
^17 52
17 45
17 38
17 32
17 25
17 18
17 10
17 2
i^ 55
i5 47
Id 38
Id 30
Id 21
Id 13
Id 3
15 54
15 44
15 34
15 24
15 14
15 3
14 53
14 42
14 31
.14 19
14 7
17 48 34
0 ip 37
0 39 14
0 58 ji
1 18 27
I 38 3
P 53 48
10 II 58
10 30 2
10 48 0
11 5 52
18 2 29
18 Id II-
18 29 41-
18 42 58-
18 jd 2-
1 57 38
2 17 12
2 36 44
2 55 15
3 15 ^5
II 23 37
II 41 15
11 5-8 47
12 Id 12
12 33 30
iP 8 53-
19 21 30-
iP 33 53-
ip 46 3
IP 57 58
3 35 13
3 54 3P
4 14 3
4 33 24
4 52 i43
,12 50 40
^13- 7 42
:i3 24 37
13 .41 24
13 58 2
14 14 32
14 30 53
1447 6
15 3 P
15 IP 3
15 34 47
15 50 21
16 5 45
16 20 59
16 36 2
20 9 37
20 21 2
20 32 II-
20 43 5-
20 53 43-
5» 12 O-
5 31 14
5 50 24
6 9 31
6 28 36
21 4 5
21 14 10
21 23 58^
21 33 30
21 42 44
6 47 36
7 ^ 33
7 25 2d
7 44 15
8 3 0
21 51 39-
22 0 Id
22 8 3d
22 Id 37-
22 24 19
8 21 40
8 40 15
8 58 46
9 17. 12
P 35 33
x6 50 55
17 5 37
17 20 8
17 34 27
17 48 34
22 31 41
22 38-43
22 45 25
22 51 47
22 57 49
Sig. XL
Aade.
Dif
i)ig.X..
Jdde.
M'
Sig. IX.
Adde,
Dtf
TABVLJ jEQ^V AT 10 N V M M E R CV R II.
Anomdia mediit Mercurii.
Gr.
Sig. III.
Sakr.
Diff.
O 1 II
1 ii
5 40
5 19
4 57
4 34
4 12
3 50
3 26
3 3
2 38
2 14
I 49
I 25
0 59
0 34
0 7
22 57 49
23 3 29
23 8 48-
23 13 45
23 18 19-
23 22 31-
23 ^6 21
23 29 47
23 32 50
23 35 28
23 37 42
23 39 31-
23 40 56
23 41 55
23 42 29
23 42 36
0 18
0 46
J 14
1 .41
2 8
2 37
3 6
3 35
4 3
4 33
5 4
5 34
6 5
6 35
7 6
23 42.18
23 41 32
23 40 18
23 38 37
23 3^ 29
23 33- 52
23 30 46
23 27 II
23 23 8
23 18 35
23 13 31-
23 7 57
23 I 52-
22 55 17
22 48 II
Sig. VIII.
Adh.
C//
Sig. IV. .
Sakr.
DIff. \
0 / //
/ // :
22 48 II
7 38
22 40 33
8 II
22 32 22-
842
22 23 40
22 14 25
9 15
2%- 4 38
9 47
10 20
2 1 54 18-
21 43 25-
21 31 59
10 53
11 26
21 19 59
12 0
21 7 25
12 54
13 8
20 54 17
20 40 35
13 42
20 25 20
14 15
20 II 31
14 49
19 56 8
15 23
15 58
19 40 9-
19 23 36-
i^ 33
19 6 29-
17 7
18 48 48
18 30 32
17 41
18 16
18 49
_
18 II 43
17 52 20
19 23
17 32 23
19 57
17 II 52
2031
16 50 47
21 5
21 38
16 29 9
i6 6 ^9
22 10
15 44 16
22 43
15 21 I-
23 15
14 57 14
23 47
Sig. VII.
Diff.
Adds.
3ig. v;
Sakr,
14 57 14
14 32 56
14 8 7
13 42 48
13 16 59
12 50 40
12 23 52
II 56 37
II 28 57
II o 50-
10 32 18
0
3
21-
9
34
0
9
4
17-
8
34
13
8
3
47-
1'
33
2
7
2
I
6
30
41
5
59
5
5
27
14
4 55 II
4 22 55
3 50 27-
3 17 4^-
2 45 2
2 12 10
I 39 12
I 6 11
o S3 6
000
Sig. VI.
Adde.
Diff.
24 lb
24 49
25 19
25 49
26 19
26 48
27 15
27 40
28 7
28 33
28 57
29 21
29 43
30 4
30 26
30 45
31 I
31 2G
31 36
31 51
3-2 3
32 16
32 28
32 39
32 4^
32 52
32 58
33 2
33 5
33 6
Dff.
LOGARITHMI DISTANTIARVM MERCVRII
A SOLE.
AnomalU media Mercurii.
6r.
7
8
9
lo
II
IZ
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
4 669123
4 655» 1 00
4 669061
4 669006
4 66%9l6
4 668851
4 6687J0
4 668633
4 668501
4 668353
Sig. o.
Logar.
4 6691 3 1
4 668x90
4 668012
4 66jSij
4 66'j6oj
4 667382
667141
4 666884
4 666612
4 666^2^
666020
rentia.
4 665701
4 665365
4 665014
4 66^6^S
4 664266
4 663868
4 663455
4 663026
4 662581
4 662f20
Sig. XI. Dif.
8
23
3P
55
70
85
loi
117
132
148
163
178
195
210
225
241
257
272
288
304
319
336
351
366
382
398
413
429
445
461
Sig. I.
Logar.
4 662120
4 661643
4 661151
4 660643
4 660119
4 659579
4 659024
4 658452
4 657864
4 657261
4 656642
4 656007
4 655356
4 654688
4 654005
4 653306
4 652591
4 651860
4 651113
4 650350
4 649571
4 648775
4 647964
4 647136
4 646293
4 645433
4 6445 5 5i
4 643667
4 64275^
4 641835
4 640896
Sig. X.
rentia.
477
492
508
524
540
555
572
588
603
619
635
651
667
683
699
715
731
747
763
119
196
811
828
843
860
875
891
908
924
939
Dif
Sig. II.
Logar.
4 640896
4 639940
4 638968
4 637980
4 6S69'J6
4 635956
4 6^^920
4 633868
4 632800
4 631716
4 630617
4 629501
4 628370
4 627223
4 626060
4 624881
4 623687
4 622478
4 621253
4 6200T2
4 618756
4 617485
4 616199
4 614898
4 613582
4 612251
4 610905
4 609545
4 608170
4 606781
4 605378
Si-. IX.
Uijje-
rentia.
956
972
988
1004
1020
1036
1052
1068
1084
1099
XI16
1131
1147
II 63
1179
1 194
1209
1225
1241
1256
1271
1286
1301
1316
13 3 1
1346
1360
1375
1389
1403
D#
30
29
25
27
26
25
24
23
22
21
20
14
n
12
II
10
Gr.
S f
LOGARIT HMl DISTJNTIARVM MERCVRJI
A SO LE.
AnomdU media. Mercarii.
Gr.
Sig. III.
Logar.
4 ^05378
4 603961
4 602530
4 601085
4 599627
4 598155
4 596671
4 595174
4 593664
4 592142
4 590608
4 589062
4 587505
4 585937
4 584358
4 582768
4 581168
4 579558
4 577939
4 576311
4 574675
4 573050
4 571378
4 569719
4 568053
4 566381
4 564704
4 563022
4 561335
4 559645
4 557951
Sig. VIII.
renttA,
1417
143 1
1445
1458
1472
1484
1497
1510
1522
1534
1546
1557
1568
1579
1590
1600
1610
1619
1628
1636
1645
1652
1659
1666
1672
1677
1682
1687
1690
1694
Diff.
Sig. IV.
Logar.
4 557951
4 556255
4 554557
4 552859
4 551160
4 549462
4 547764
4 546069
4 544377
4 542689
4 541005
4 539328
4 537656
4 535993
4 534338
4 532693
4 531058
4 529435
4 527825
4 526229
4 524648
4 523084
4 521537
4 520009
4 51 8501
4 517014
4 515548
4 514107
4 51 2691
4 511301
4 509939
Sig. VIL
1696
1698
1698
1699
1698
1698
1695
1692
1688
1684
1677
1672
1663
1655
1645
1-635
1623
1610
1596
1581
1564
1547
1528
1508
1487
1466
1441
1416
1390
1362
Dljf.
Sig. V.
hogar.
4 509939
4 508606
4 507302
4 506030
4 504791
4 503586
4 502416
4 501283
4 500186
4 499129
4 498113
4 497137
4 496204
4 495314
4 494470
4 493671
4 492919
4 492215
4 491557
4 490950
4 490393
4
4 489432
4 489029
4 488679
4 488382
4 488138
4 487948
4 487813
4 487732
4 487704
Sig. VI
rentU.
1333
1304
1272
1239
1205
1170
"33
1097
1057
1016
97,^
^33
890
844
799
- 75-J-
704
658
607
557
506
45 5
403
350
297
244
190
135
81
28
M'
TABVLA LATITVDINARIA MERCVRII.
argu-
Sig, &. Bur.
^ul-tf.
Sig. I. Eor.
Suhtr. -
Sig. 2. Bur.
Sukr.
ment.
Lati.
SIg.6.^«/?
Stthtr
Clirr
tatio
Sig. 7. ^«/?.
Sukr.
Cur-
tatio.
S^. 8. Aufl.
Sukr.
Cur-
tatio.
Log.
2425
tudi-
nis.
o
I
Inclinatio.
ReduO.
Inclinatio.
RediiB.
Inclinatio.
Reduil.
29
?_ ^ .y^
/ //
t-s.-
0 / //
1 , //
Log.
805
0 / //
I II
000
0 7 18
0 0
°
3 29 17
II 5
6 2 56
II 7
0 27
■ I
3 35 35
II 18
855
6 6 32
10 54
M73
2
0 14 36
0 53
4
3 41 49
II 30
905
<5 10 2
10 39
2521
28
9
0 21 5:4
I 20
9
3 47 59
II 42
956
6 13 26
10 24
2567
27
4
0 29 II
I 47
\6
3 54 5
II 52
1008
5 16 43
10 7
2613
26
5
6
0 36 27
2 13
24
407
12 2
1 060
6 19 52
9 51
2657
25
0 43 43
2 39
35
464
12 II
1114
6 22 55
9 33
2700
24
7
0 50 •)9
3 5
48
4 II 58
12 19
I168
6 25 51
9 15
2741
23
8
0 58 13
3 31
d2
4 17 46
12 2d
1222
6 28 40
8 56
2781
.22
9
I 5 26
3 57
19
4 23 30
12 32
1277
6 31 21
8 36
2820
21
lO
II
I 12 38
4 22
91
4 29 9
12 37
1333
6 33 56
8 16
2858
20
19
I 19 49
4 47
117
4 34 43
12 41
1388
6 36 23
7 55
2894
12
I 26 58
1 12
139
4 40 12
12 45
1444
6 38 43
7 33
2928
18
13
I 34 6
5 36
id3
4 45 36
12 47
I 501
6 40 55
7 II
2960
17
H
r 4,1 T2
•^ b
i8H
4 50 55
12 48
1557
^ 43 I
6 49
2991
16
; ij
I 48 17
;6 23
215
4 5^ 9
I J 49
1614
5 44 58
d 26
3021
15
,16
17
I 55 15-
6 46
244
5 I 17
12 48
1570
6 46 49
6 2
3048
14
2 ^ ;ip
7v 9
275
5 6 19
12 47
1726
6 48 32
5 38
3074
13
18
2 9 17
7 31
307
5 II 16
12 45
1783
5 50 7
5 14
3098
12
--^9
2 15 13
7 52
341
5 16 8
12 42
1839
•5 51 35
4 49
3120
II
20
2 23 6
(8 13
376
5 20 54
12 38
1895
6 52 56
4 24
3141
10
21
2 25 57
8 33
413
5 25 34
12 33
1951
^ 54 9
3 58
3159
9
21
2 3645
8 53
452
5 30 7
12 27
2006
^ 55 14
3 33
3176
; 8
23
2 43 30
9 12
491
5 34 35
12 20
2060
5 56 11
3 7
3191
; 7
24
2 5,o- 12
^30
532'
5 38 57
12 12
2 1 14
6 57 I
2 40
3203
■ 6
25
26
2 55 51
9 48
575
619
5 43 13
5 47 22
12 3
2I67
6 57 44
2 14
3214
• 5
4
3 3 27
10 5
II 54
2220
6 58 18
I 47
3223
27
3 10 0
10 21
664
5 51 25
II 44
2273
6 58 45
I 21
3230
■ 3 '
, 2iJ
3 16 29
10 36.
710
5 5 5 22
II 33
2325
5 59 4
0 54
3235
2
• 29
3 22 yj
10 51
757
5 59 12
II 20
2375
6 59 16
0 27
3238
I
30
3 29 17
115
^05
6 2 56
Sig.lo.y^ay?.
II 7
2425
6 59 20
0 0
3239
0
Sig. 1 1, ^a/
Mdi.
Mde.
Sig. 9. ^»/?.
Mde.
Sig. 5. Bor
Mde.
Sig. 4. £«^| AMi.
Sig. 3. B,T.
' Jdde.
Gr.
EPOCHJL MEBIORVM
MOTVVM VENE
KIS,
Amis
Jiili-
anis
Venm ah
A^hel Q
Nod.9
innii
Juli-
Venus ab
Aph.^
Nodus ?
jEquinoli.
vw 5
JI13'
anis
ineun-
tibus.
1696
/EquinoS.
i^d"
K13"
tibus.
1661
So///
0 / //
/ //
S 0 J /1
/ //
0 / //
6 2 16 18
54 47
37 44
42247 21
2744
■55 49
6i
I 17 3 47
55 44
38 15
91
0 9 10 58
28 40
Jd 20
63
p I 51 16
5640
3846
98
7 23 58 27
29 37
Jd 51
64
4 i^ 3845
57 3^
39 17
. 99
3 8 45 57
30 33
5722
\66%
1666
0 3 2 22
5833
5929
3948
1700
1701
10 23 33 26
31 29
57 53
7 17 49 52
40 19
6 9 57 3
32 2d
5824
6r
3 2 37 21
6 0 26
40 50
2
I 244432
33 22
585s
68
10 17 24 50
I 22
41 21
3
9 9 32 I
34 19
59 2d
69
6 3 48 27
2 19
41 52
4
4 24 19 30
35 15
59 57
1*570
1671
I 18 35 56
3 15
42 23
1705
1705
01043 7
3d II
14 0 28
9 3 23 25
411
5 8
42 54
7 25 30 36
37 8
. 0 59
72
4 18 10 54
43 25
7
3 10 18 6
38 5
I 30
73
0 43431
6 5
43 56
8
10 25 5 35
39 I
2 I
74
7 19 22 I
7 I
44 27
9
6 n 29 12
i9 58
2 32
1675
1676
3 4 9 30
7 57
4458
1710
1711
I 2d 16 41
40 54
3 3
10 18 56 59
854
45 29
9 II 41°
41 50
3 34
77
6 5 20 36
9 50
46 0
12
4 25 51 39
42 47
4 5
78
I 20 8 5
1047
4631
13
0 12 15 Id
43 44
43d
19
9 4 55 34
11 44
47 2
14
7 27 2 45
4440-
5 7
1680
1681
4 19 43 3
12 40
47 33
1715
1715
3 11 50 15
45 37
538
0 6 6 40
13 36
48 4
10 26 37 44
4^ 33
d 9
82
7.20 54 10
1433
4835
17
6 13 I 21
47 2S>
6 40
83
3 54139
15 29
49 6
18
I 27 48 50
48 2d
7 II
84
10 20 29 8
id 26
4937
19
9 12 3d 19
49 22
742
1685
1686
6 6 52 45
17 22
18 19
50 8
1720
1721
4 27 23 48
50 19
8x3
I 21 40 14
5039
0 13 47 25
51 15
844
B7
9 6 27 43
19 15
51 10
22
7 28 34 54
52 11
9 15
88
421 15 12
20 12
51 41
23
3 13 22 24
53 8
946
89
0 7 5.8 49
21 8
52 12
24
10 28 9 53
54' 5
~lo 17
1690
1691
7-22 26 18
. 22 5
23 I
5243
1725
1726
d 14 33 30
55 I
1048
3 7 13.48
53 H
1 29 20 59
55 58
11 19
92
10 22 I 17
23 58
53 45
27
9 14 8 28
56 54
II 50
91
6 8 24 54
2.4 54
5416
28
4 28 55 57
57 50
12 21
94
I 23 12 23
25 50
5447
29
0 15 19 34
5847
12 52
1695
9 7 59 52
2^47
55 18
1730
8 0 7 3 '59 44
15 23
EPOCHS MEDIORVM MOTVVM VENERIS.
Annls
Annis
^uli-
reK?« fl&
Jphel 9
Boi.l
Juli-
Venus ab
Aphel ?
A^oi. 2
atiis
^quiftoS.
^7\
iri4"
anjs
iflSUH-
JEquinoB.
«^7°
114°
tibia.
Soy//
0 1 II
y //
tibus. [
Soil/
0 / //
/ //
1731
3 1454 32
7 040
13 54
i-jee
2 7 I 44
33 36
31 59
3^
102942 2,
I 36
1425
67
9 21 49 13
34 33
32 30
33
6l5 5 39
2 33
14 56
68
5 63642
35 29
33 I
34
2 0 53 8
3 2P-
15 27
69
0 23 0 19
3626
33 32
I73J
1736
9 15 40 37
426
15 58
1770
1771
8 74748
37 22
34 3
5 0 28 6
5 22
16 29
3 22 35 17
38 19
34 34
37
0 16 51 43
6 19
17 0
72
II 7 22 46
39 15
35 5
3«
8 1 39 12
I '5
17 31
73
6 23 46 23
40 12
35 36
39
3 16 26 41
8 12
18 2
74
2 8 33 53
41 8
35 7
1740
1 741
II I 14 II
9 8
10 5
1833
1775
1776
9 23 21 22
42 5
3^38
617 3748
19 4
5 8 8 51
43 2
37 9
42
2 2 25 17
II 2
19 35
77
0 24 32 28
43 58
37 40
43
9 17 12 46
II 58
20 6
78
8 9 19 57
44 55
38 II
44
5 2 0 15
12 55.
20 37
79
3 24 7 26
45 51
3842
1745
1746
0 18 23 52
13 5T
""5
21 8
1780
1781
II 8 54 55
4648
39 13
8 3 II 21
21 39
6 25 18 32
47 44
39 44
47
3 17 5S 50
15 44
22 10
82
2 10 6 I
48 40
40 15
4«
II 2 46 20
16 40
2241
83
9 24 53 31
49 36
40 46
4^
6 19 9 57
17 36
23 12
84
5 9 41 0
50 33
41 17
1750
1751
2 3 57 26
lb 33
23 43
1785
1785
0 26 4 37
51 29
52 26
41 48
9 18 44 55
19 29
24 14
81052 6
42 19
52
5 3 32 M
20 26
2445
■ 87
3 25 59 35
53 22
42 50
53
0 19 56 I
21 22
25 \6
88
II 10 27 4
54 19
43 21
54
8 4 43 30
22 19
25 47
89
6 26 50 41
55 15
43 52
1755
1756
3 19 30 59
23 15
26 18
1790
1791
2 II 38 10
55 12
.57 8
44 23
II 4 18 28
24 12
26 49
9 26 25 40
44 54'
57
d 20 42 5
25 8
27 20
92
5 II 13 9
58 5
45 25
5«
2 5 2^ 35
26 5
27 51
93
0 27 3<5 46
59 2
45 50
59
.9 20 17 4
27 2
28 22
94
8 12 24 15
59 58
4527
1760
1751
5 5 4 33
27 58-
TsTT
2853
1795
1796
3 27 II 44
II II 59 13
8055
I 5'
46 58
0 21 28 10
29 24
47 29
62
8 6 15 39
29 51
29 55
97
6 28 22 50
2 48
48 0
63
321 3 8
3048
30 26
98
2 13 10 19
3 44
48 31
64
II 5 50 37
31 44
30,57
99
9 27 57 49
4 40
49 2
17(55
6 22 14 14
52 40 31 28
1800
5 12 45 18
5 36
49 5 3
T t
MEDIVS MOTVS VENERIS
JD DIES MENS IV M.
Die
Men-
fa,
I
2
3
4
5
6
9
10
II
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
JANUARIi
FEBRUARII
M ARTII
APRILIS
Medics Motui
Veneris.
Medt^ Mottii
Veneris.
Medias Motm
Vemrk.
Meditu Motas
Veneris.
S 0 , 11
Soil,
S 0 II,
So, II
0 I 3d 8
0 3 12 t6
0 4 48 23
0 6 24 31
0 8 0 39
I 21 Id 10
I 22 52 17
I 24 28 25
I 2d 4 33
I 27 40 41
3 6 7 48
3 7 43 5^
3 9 20 4
3 10 5d 12
3 12 32 19
4 25 47 50
4 27 23 58
4 29 0 d
5 0 36 13
5 2 12 21
0 9 3d 47
0 11 12 55
0 12 49 2
0 14 25 10
0 16 I 18
1 29 Id 49
2 0 52 5d
2 2 29 4
2 4 5 12
2 5 41 20
3 14 8 27
3 15 44 35
3 17 20 43
3 i8 5d 51
3 20 32 58
5 3 48 29
5 5 M 37
5 7 0 45
5 8 3d 52
5 TO 13 0
0 17 37.26
0 19 13 34
0 20 49 41
0 22 25 49
0 24 I 57
2 7 17 28
2 8 53 3d
2 10 29 43
2 12 5 51
2 13 41 59
3 22 9 d
3 23 45 14
3 25 21 22
3 2d 57 30
3 28 33 37
5 II 49 8
5 13 25 Id
5 15 I 24
5 16 37 31
5 18 13 39
0 25 38 5
0 27 14 13
0 28 50 20
1 0 26 28
I 2 2 36
2 15 18 7
2 Id 54 15
2 18 30 22
2 20 d 30
2 21 42 38
4 0 9 45
4 I 45 53
4 3 22 I
4 4 58 9
4 d 34 Id
5 19 49 47
5 21 25 55
5 23 2 3
5 24 38 10
5 2d 14 18
I 3 38 44
I 5 14 52
I 6 50 59
1 8 27 7
I 10 3 15
2 23 18 46
2 24 54 54
2 2d 31 I
2 28 7 9
2 29 43 17
4 8 10 24
4 9 4^ 32
4 II 22 40
4 12 58 48
4 H 34 55
5 27 50 2d
5 29 2d 34
d I 2 42
d 2 38 49
d 4 14 57
I II 39 23
I 13 15 31
I 14 51 38
I Id 27 46
I 18 3 54
3 I 19 25
3 2 55 33
3 4 31 4°
/m^wmo Biflex-
tili po/ Februa-
rium aide vnm
dieimotm. , ,,
4 id II 3
4 17 47 "
4 19 23 19
4 20 59 27
4 22 35 34
6 5 51 5
d 7 27 13
d 9 3 21
d 10 39 28
d 12 15 3d
I 19 40 2
4 24 SI 42
/ //
Mot.Aph. 0 5
Mof.Nod. 0 3
0 9
' 0 5
0 14
0 8
0 19
0 II
MEDIVS MO TVS VENERIS
AD DIES MENSIVM.
Die
Men-
I
9
lO
II
12
13
14
15
MAII
JUNII
JULI I
AUGUST I i
MHius Motui
Veneris.
Veneris.
Medius Motus
Veneris.
Veneris.
S 0 1 /i
Soil/
S 0 , u
S 0 1 II
6 13 51 44
6 15 27 52
6 17 4 0
d 18 40 8
6 20 16 15
8 3 31 46
8 5 7 54
8 6 44 2
8 8 20 9
8 9 56 17
9 21 35 4°
9 23 II 48
9 24 47 56
9 26 24 3
9 28 0 II
II 11 15 42
II 12 51 50
II 14 27 58 ;
II i5 4 5
II 17 40 13
6 21 52 23
6 23 28 31
6 25 4 39
6 2<5 40 47
6 28 16 54
8 II 32 25
8 13,, 8 33
8 14; 44 41
8 16 20 48
8 17 5d 5d
9 29 36 19
10 I 12 27
10 2 48 35
la 4 24 45
10 6 0 50
n 19 \6 21
II 20 52 29
II 22 28 37
II 24 4 44
II 25 40 52
6 29 53 2
7 I 29 10
7 3 5 18
7 4 41 26
7 6 17 33
8 19 33 4
8 21 9 12
8 22 45 20
8 24 21 27
8 25 57 35
10 7 36 58
10 9 13 6
10 10 49 14
10 12 25 22
10 14 I 29
11 27 17 O'
II 28 53 8
0 0 29 16
0 2 5 23,
0 3 41 31:
16
17
18
19
20
21
22
23
24
25
7 7 53 41
7 9 29 49
7 rr 5 57
7 12 42 5
7 14 18 12
8 27 33 43
8 29. 9 51
9 a 45 59
9 2 22 6
9 3 58 14
10 15 37 37
10 17 13 45
10 18 49 53
10 20 25 I
10 22 2 8
0 5 17 39
0 5 53 4r
0 8 29 55
010 6 2-
0 II 42 10;
7 15 54 20
7 17 30 28
7 19 6 3<5
7 20 42 44
7 22 18 51
9 5 34 22
9 7 10 30
9 8 46 38
9 10 22 45
9 II 58 53
10 23 38 \6
10 25 14 24
10 26 50 32
10 28 26 40
11 0 2 47
0 13 18 18
0 14 54 %6
0 Id 30 34
0 18 6 41
0 19 42 49
26
27
28
29
30
7 23 54 59
7 25 31 7
7 27 7 15
7 28 43 23
8 0 19 30
9 13 35 I
9 15 II 9
9 16 47 17
9 18 23 24
9 19 59 32
II I 38 55
n 3 15 3
n 4 51 II
II 6 27 19
II 8 3 26
0 21 18 57
0 22 55 5
0 24,31 13
0 2d 7 20.
0 27 43 28
31
8 I 55 38
1. II
II 9 39 34
0 29 19 Z6
Mot.Apko 23
Mot.Nod. 013
0 28
0 15
0 32
0 18
0 37
0 21
MED IV S MOTVS VENERIS
JDDIESMENSIVM.
SEPT EM B.
OCTOBRIS
NOVEMB.
DECEMB. ;
Die
Men-
fs.
I
2
3
4
6
7
8
9
lo
II
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
30
31
Veneris.
Mediits Motm
Veneris.
Medim Motm
Veneris.
Medim Motm
Veneris^
S 0 I /1
S 0 1 II
Soil/
S 0 1 II
I 0 5:5 44
I 2 31 52
14 7 59
I 5 44 7
I 7 20 15
2 18 59 38
2 20 35 46
2 22 11 54
2 23 48 I
2 25 24 9
4 8 39 40
4 10 15 48
4 II 51 55
4 13 28 3
4 15 4 II
5 26 43 34
5 28 19 42
5 29 55 50
6 I 31 57
^385
I 8 56 23
I 10 32 31
I 12 8 38
I 13 44 46
I 15 20 54
2 27 0 17
2 28 35 25
3 0 12 33
3 I 48 40
3 3 24 48
4 16 40 19
4 18 16 27
4 19 52 34
4 21 28 42
4 23 4 50
6 4 44 13
6 6 20 21
5 ^^6^9
6 9 32 3^
5 II 8 44
I 16 57 2
I 18 33 10
I 20 9 18
I 21 45: 25
I 23 21 33
3 5 0 56
3 ^ 37 4
3 8 13 12
3 9 49 19
3 II 25 27
4 24 40 58
4 26 17 6
4 27 53 13
4 29 29 21
51 5 29
6 12 44 52
6 14 21 0
6 15 57 8
6 17 33 15
6 19 9 23
I 24 57 41
I 26 33 49
I 28 9 57
1 29 4^ 4
2 I 22 12
3 13 I 35
3 14 37 43
3 16 13 51
3 17 49 58
3 19 25 6
5 2 41 37
5 4 17 45
5 5 53 52
5 7 30 0
S 9 6 S
6 20 45 31
6 22 21 39
6 23 5-; 47
6 25 33 54:
6 27 10 2
2 2 58 20
2 4 34 28
2 6 10 36
2 7 46 43
2 9 22 51
3 21 2 14
3 22 38 22
3 24 14 30
3 25 50 37
3 27 26 45
5 10 42 16
5 12 18 24
5 13 54 32
5 15 30 39
5 17 6 47
6 28 45 10
7 0 22 18
7 I 58 26
7 3 34 33
7 5 10 41
2 10 58 59
2 12 35 7
2 J4 II 15
2 15 47 22
2 17 23 30
3 29 2 53
4 0 39 I
4 2 15 9
4 3 51 16
4 5 27 24
5 18 42 55
5 20 19 3
5 21 55 II
5 23 31 18
5 25 7 26
7 6 46 49
7 8 22 57
7 9 59 5
7 II 35 12
7 13 II 20
/ //
4 7 3 32
/ //
7 14 47 28
Mot.Afh.o 42
Mot. Nod. 0 23
0 47
0 26
0 52
0 28
0 56
0 3i
MEDIVS MOTVS VENERIS AB .EQVINOCTIO.
IN JNNORVM CENTVRIIS.
IN HORIS ET MIN.
Julia».
CoUcSi.
Medita Motas
Veneris.
Mattes Aphel.
Veneris.
MotftsNodi
Veneris.
Medim Motus Vemrh.
So///
s
0 / //
0 / II
11
1
H
I
2
3
4
5
6
7
8
9
TO
II
12
13
H
15
16
17
18
19
20
21
22
■^3
24
-5
16
--7
28
29
30
/ // ///
0 1 II
//
H
31
32
33
34
11,
36
37
38
3P
40
41
42
43
44
45
46
47
48
4?
50
51
52
55
54
>'5
5'
57
5^^
59
60
// /// ////
lOO
2 00
300
400
500
6 19 II 52
1 8 23 44
7 27 35 3^
2 1(5 47 28
9 5 59 20
0
0
0
0
0
I 34 13
3 8 27
4 42 4.0
6 16 53
7 51 7
0 Ji 40
1 43 20
2 35 0
3 26 40
4 18 20
/ // III
040
0 8 I
0 12 I
0 i<5 I
0 20 2
0 24 2
0 28 2
0 32 3
0 36 3
0 40 3
2 4 10
2 8 10
2 12 10
2 \6 II
600
700
900
1000
3 25 II 12
10 14 23 4
5 3 34 56
11 22 46 48
6 II 58 40
0
0
0
0
0
9 25 .20
10 59 33
12 33 47
14 8 0
15 42 13
5 10 0
6 1 40
6 53 20
7 45 0
8 35 40
2 20 II
2 24 II
2 28 12
2 32 12
2 36 12
2 40 13
1 1 00
1200
1300
1400
1500
1 I 10 32
7 20 22 24
2 9 34 i^
8 28 46 8
3 17 58 0
0
0
0
0
0
17 16 27
18 50 40
20 24 53
21 59 7
23 33 20
9 28 20
10 20 0
11 II 40
12 3 20
12 55 0
13 46 40
14 38 20
15 30 0
\6 21 /|o
17 13 20
18 5 c
18 56 40
19 48 2C
20 40 0
2 1 31 40
22 23 20
23 T5 0
24 6 40
24 58 20
25 50 0
26 41 40
27 33 20
0 44 4
0 48 4
0 52 4
0 56 4
1 0 5
I 4 5
I 8 5
I 12 6
I 16 6
I 20 6
I 24 7
I 28 7
-^ 3^- 7
I 35 8
I 40 8
I 44 8
I 48 9
r 52 9
1 56 9
2 0 to
2 44 13
2 48 13
2 52 14
2 5d 14
3 0 14
3 4 15
3 8 15
3 12 \6
T 16 16
1600
1700
1800
1900
2000
10 7 9 52
4 26 21 44
11 15 33 36
6 4 45 28
0 23 57 20
0
0
0
0
I
25 7 33
26 41 47
28 \6 0
29 50 13
I 24 27
2100
2200
23CO
2400
2500
7 13 9 12
2 2 21 4
8 21 32 56
3 10 44 48
9 29 56 40
2 58 40
4 32 53
6 7 7
7 41 20
9 15 33
3 20 16
3 24 16
3 28 17
3 32 17
3 36 ^7
3 40 18
3 4^^ ^^
3 48 18
3 52 19
3 5^ 15'
4 0 19
2600
2700
2800
2900
3000
4 19 8 32
II 8 20 24
5 27 32 16
0 16 44 8
7 5 56 0
1 25 7 52
8 14 19 44
10 49 47
12 24 0
13 5^ 13
I) 32 27
17 (5 40
3100
3200
18 40 53
20 TJ 7
U u
TABVLA yEQVAT 10 NV M
FENERIS.
1
Anomalia mediA Veneris. \
I
Gr.
Sig.- 0.
Sukr.
Sig. I.
Subtr.
Sig. 11.
Sig. III.
Sig. iV.
Sig. V.
Sfdtr.
Sahtr.
0 / //
Subtr.
Subtr.
0 1 ji
0 / //
a 1 il
0 1 II
0 1 II
O
I
000
0 23 50
0 41 24
0 41 48
0 48 0
0 48 6
0 41 45
6 24 10
30
29
0 0 50
0 24 33
0 41 19
0 23 26
2
0 I 40
0 25 15
0 42 12
0 47 59
0 40 53
0 22 42
28
3
0 2 30
0 25 57
0 42 35
0 47 57
0 40 26
0 21 57
27
4
0 3 20
0 2(5 39
0 42 58
0 47 54
0 39 59
0 21 12
26
5
6
0 4 10
0 27 20
0 43 20
0 43 41
0 47 50
0 47 46
0 39 31
0 20 27
0 19 41
25
24
0 4 59
0 28 I
0 39 2
7
0 5 48
0 28 41
0 44 I
0 47 41
0 38 32
0 18 55
23
«
0 6 37
0 29 21
0 44 21
0 47 34
0 38 I
0 18 7
22
9
0 7 26
0 30 0
0 44 40
0 47 27
0 37 30
0 17 20
21
lO
. 1 1
0 8 15
0 30 39
0 44 58
0 47 20
0 35 58
0 3<5 26
0 16 33
0 15 45
20
19
0 9 5
0 31 17
0 45 16
0 47 II
12
0 9 54
0 31 54
0 45 32
0 47 2
0 3J 52
0 14 57
18
1- 1,3
0 10 43
0 32 31
0 45 48
0 45 51
0 35: 19
0 14 9
17
14
0 II 31
0 33 8
0 46 2
0 46 40
0 34 44
0 13 20
Id
15
0 12 19
0 33 44
0 46 16
0 46 28
0 34 9
0 12 32
15
16
0 13 7
0 34 19
0 46 29
0 45 15
0 53 33
0 II 43
14
17
0 13 55
0 34 53
0 46 41
0 46 I
0 32 57
0 10 J4
13
18
0 14 42
0 35 27
0 46 53
0 45 4<5
0 32 19
0 10 4
12
15?
0 15 30
0361
0 47 3
0 45 30
0 31 42
0 9 14
II
20
i
21
0 \6 17
0 36 33
0 37 5
0 47 12
b 47 20
0 45 14
0 44 %6
0 31 3
0 30 24
0 8 24
10
9
0 17 4
0 7 34
22
0 17 50
0 37 37
0 47 28
0 44 38
0 29 45
0 d 44
8
2^
0 18 36
0 38 8
0 47 35
0 44 19
0 29 5
0 5 54
7
24
0 19 22
0 38 38
0 47 42
0 43 59
0 28 25
0 5 3
6
25
26
0 20 7
0 39 7
0 39 36
0 47 47
0 47 52
0 43 39
0 43 18
0 27 44
0 27 2
0 4 12
5
4
0 20 52
0 3 22
27
0 21 37
0 40 4
0 47 5 5
0 42 56
0 2d 20
0 2 31
3
28
,0 22 22
0 40 31
0 47 58
0 42 33
0 25 37
0 I 41
2
29
0 23 6
0 40 58
0 47 59
0 42 9
0 24 54
0 0 51
I
30
0 23 50
0 41 24
0 48 0
0 41 45
0 24 10
000
0
Sig. XL
Sig. X.
Sig. IX.
Sig.VlII.
Sig. VII.
Sig. VI.
Gr,
Ao2?.
AM.
Adde.
Adde.
Adde.
Add»..
LO GJRITHMl DISTANTIARVM VENERIS
A v n T V
1
Anorhdia: frieMa. Veneris.
Gr.
o
I
2
3
4
5
6
7
8
9
lo
II
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Sig. 0
_ Sig. I.
Sig. II.
Sig. III.
Sig. IV.
Sig. V.
30
29
28
27
26
25
24
25
22
21
20
19
18
;^.
15
14
13
12
ir
10
9
8
7
6
5
4
3
2
I
0
Gr.
Logar.
' ^^g'^r-
Logar.
Logar.
L'gar.
L-ygitr.
4 862359
4 S61961
4 860867
4 859359
4857835
4 856709
4 862358
4 862356
4 862354
4 862352
4 862348
4 861934
4 861907
4 861879
4 861850
4 861821
4 860821
4 860775
4 860729
4 860682
4 860635
4 859306
4859253
4 859200
4 859147
4 859094
4 857789
4 857743
4 857698
4 857653
4 857609
4 856683
4856657
4 856632
4 856608
4856585
4 862343
4 862337
4 862330
4 862322
4 862314
4 861 791
4 861760
4 861728
4 86I6c^6
4 861663
4 860587
4 860539
4 860490
4 860441
4 860392
4 859041
4 858989
4 858936
4 858884
4 858831
4 857566
4857523
4 857480
4 857438
4 857397
4 857356
4 857316
4 857276
4 857237
4 857199
4 856563
4856541
4 856520
4 856501
4 856482
4 862304
4 862294
4 862282
4 862270
4 862257
4 861629
4861594
4861559
4 861523
4 861486
4 860342
4 860292
4 860242
4 860192
4 860 141
4 858879
4858727
4 858675
4 858623
4858572
4 856464
4 856447
4 856431
4 856415
4 856401
4 862244
4 862229
4 862214
4 862197
4 862180
4 861449
4 8614I1
4861373
4861334
4 861294
4 860090
4 860039
4 859988
4 859936
4 859884
4 858521
4 85847c
4 858419
4 858368
4 858318
4 857x61
4 857124
4 857088
4 857053
485701.:,
4 856387
4 856375
4856363
4 856352
4 856342
4856333
4856325
4 856318
4 856312
4856307
4 856303
4 S56299
4 856297
4 856295
4856295
4 862162
4 862143
4 862123
4 862102
4 862080
4 861254
4 861213
4 861172
4 861130
4 861087
4859832
4 859780
4859728
4 859676
4 859623
4 858268
4 858218
4 858169
4 858120
4 858072
4 856984
4 856950
4856917
4 856885
4 856854
4 862058
4 862035
4 86201 1
4 8619B6
4 861961
4 861044
4 861000
4 860956
4 860912
4 860867
4 859570
4 859518
4 859465
4 859412
4 859359
4 858024
4 857976
4 857928
4 857881
4257835
4 856823
4 856794
4 856765
4856737
4 856709
\^Sig.VII.
Sig. XL
Sig. X.
Sig. IX.
sig.vm.
Sig. VI.
TJBVLA LATITVDINARIA VENERIS.
yirgtl-
SIg. 0. Bor
Subtr.
Sig. I. Bar. Subtr.
Sig. 2. Bor.
Subtr.
ment.
Uti-
Sig. 6. ^tifl
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Cur-
tatio
Sig. 7. ^ufl.
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tatio
Sig. 8. ^«/?.
Subtr.
Cur-
titdi-
nis.
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R.eduB.
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Gr.
o
0 / //
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0
0 1 11
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190
201
0 1 II
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2 46 32
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5
26
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2 22
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2 48 32
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3^ I 41 37
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0
Gr.
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EPOCHJL
MEDIORVM MOTVVM
MART IS.
Anvis
jfuli-
Mars ab
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a 29°
Nod.S
Annis
Mars ab
Apbel S
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an'is
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9 24 19 41
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5 4 3 22
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24 4
1655
10 17 25 27
52 30
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1700
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5 253742
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4 2842 37
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0 8 26 18
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X X
EPOCHS MEDIORVM MOTVVM
MARTIS.
Annis
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avis
Mars ab ■
Aph.S
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Juli-
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7 22 59 17
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7 4^
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625 413
13 0
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2 4 47 53
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8 24
1735
1736
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8 16 5 3
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9 2
7 17 38 32
15 20
47 30
2 27 22 13
Jd 10
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I 29 27 8
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8 1 0 44 1 8
1740
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3 20 27 59
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2 22 I 28
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4 7 41 34
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II 17 25 14
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10 18 58 43
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0 27 44 3 5
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5 II 19 46
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4 4 25 31
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4 26 59 51
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3 20
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II 32742
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25 20
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358
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0 24 28 32
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26 8
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436
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7 5 45 42
2740
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d 7 19 12
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28 50
2724
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0 19 7 48
49 10
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1800
7 28 20 2
30 0
28 2
MEDIVS MOTVS MARTIS
AD DIES MENSIVM.
Die
Men-
I
2
3
4
7
8
9
lO
II
12
13
14
15
18
19
20
21
22
23
24
25
26
27
28
29
30
31
JANUARII
FEBRUARII
M ARTII
/VPRILIS
Mtrtis.
Medius Motus
Martis.
Medf»s AJotiis
Martis.
Meditis Motui
Martjjt.
5 0 / //
S 0 , 1,
•^ 0 / //
s
0 y //
0 0 31 27
0 I 2 54
0 1 34 20
0 3 5 47
0 2 37 13
0 16 45 13
0 17 17 40
0 17 49 6
0 18 20 33
0 18 52 0
I I 25 39
I I 58 5
I 2 29 33
I 3 0 59
I 3 32 25
17 41 25
18 12 52
18 44 19
19 15 4^
19 47 12
0 3 8 40
0 3 40 7
0 4 II 33
0 4 43 0
0 5 14 27
0 19 23 26
0 19 54 53
0 20 26 20
0 20 57 45
0 21 29 13
^ 4 3 53
I 4 35 19
I 5 5 45
I 5 38 13
I 5 9 39
20 i8 39
20 50 6
21 21 32
21 52 59
22 24 25
0 5 45 53
0 6 17 20
0 6 48 47
0 7 20 13
0 7 51 40
0 22 0 40
0 22 32 6
0 23 3 53
0 23 35 0
0 24 5 25
I 5 41 6
I 7 12 33
I 7 43 59
I 8 15 25
I 8 45 53
22 55 52
23 27 19
23 58 45
24 30 12
25 I 39
0 8 23 d
0 8 54 33
0 9 25 0
0 9 57 2<5
0 10 28 53
0 24 37 53
0 25 9 19
0 25 40 46
0 25 12 13
0 25 43 59
I 9 18 19
I 9 49 46
I 10 21 12
I 10 52 39
I II 24 5
25 33 6
25 4 32
25 35 59
27 7 25
27 38 52
0 II 0 20
0 II 31 46
0 12 3 13
0 12 34 40
0 13 6 6
0 27 15 6
0 27 46 33
0 28 17 59
0 28 49 26
0 29 20 53
I II 55 32
I 12 2 5 59
I 12 58 25
I 13 29 52
I 14 I 19
28 10 19
28 41 45
29 13 12
29 44 39
0 i5 5
0 13 37 33
0 14 9 0
0 14 40 26
0 15 IT 51^
0 15 43 20
0 29 52 19
1 0 23 46
I 0 55 13
InAnm Biflex-
tih ^ofi Februa-
rium aide mim
dieimntim. ^ ^^
1 14 32 46
I 15 4 12
I 15 3) 39
I 15 7 5
I i5 38 32
2
0 47 32
1 18 59
1 50 25
2 21 52
2 53 19
0 16 14 46
I 17 9 59
' '■/.
Mottts
Aphelii 0 6
tfodi 0 3
012
0 6
0 18
010
0 23
0 13
MEDIVSMOTVSMARTIS !|
JDDIESMENSIVM.
Die
Men-
Js.
I
MAII
J U Nil
JULII
AUGUSTI
iWt^/»if ^0?/«
Medius Motta
Medita Motm
Medttis Motus
^^r/^».
Martis.
Martis.
Martis.
5 0 / //
So///
■So///
So///.
2 32446
2 19 39 33
3 5 22 51
3 21 37 38
2
2 3 56 13
2 20 10 59
3 5 54 18
3 22 9 4
3
2 4 27 40
2 20 42 26
3 6 25 45
3 22 40 31
4
2 4 5P 6
2 21 13 53
3 6 57 II
3 23 II 58
5
6
2 5 30 33
2 21 45 19
3 7 28 38
3 23 43 24
2620
2 22 16 46
3805
3 24 14 51
7
2 6 33 26
2 22 48 13
3 8 31 32
3 24 46 18
8
2 7 4 5^3
2 23 19 39
3 9 2 58
3 25 17 44
9
2 7 3(5 20
2 25 51 6
3 9 34 25
3 25 49 II
ro
II
2 8 7 46
2 24 22 33
3 10 5 51
3 25 20 37
2 8 39 13
2 24 53 59
3 10 37 18
3 26 52 4
12
2 9 10 40
2 25 25 26
3 II 8 44
3 27 23 3.1
I^
2 9 42 6
2 25 56 53
3 II 40 II
3 27 54 58
14
2 10 13 33
2 26 28 19
3 12 II 38
3 28 26 24
15
16
2 10 45 0
2 2<5 59 46
3 12 43 4
3 28 57 51
2 II 16 26
2 27 31 13
3 13 14 31
3 29 29 17
17
2 II 47 53
2 28 2 39
3 13 45 58
4 0 0 44
18
2 12 19 20
2 28 34 5
3 14 17 24
4 0 32 II
19
2 12 50 46
2 29
5 32
3 14 48 51
4 1 3 37
20
21
2 13 22 13
2 29 3
6 59
3 15 20 18
4 I 35 4
2 13 53 40
3 0 8 25
3 15 51 44
4 2 6 30
22
2 14 25 6
3 0 39 52
3 16 23 II
4 2 37 57
23
2 14 56 53
3 I II 18
3 i^ 54 38
4 3 9 24
24
2 15 27 59
3 I 42 45
3 17 26 4
4 3 40 50
25
26
2 15 ^9 26
3 2 14 12
3 17 57 31
4 4 12 17
2 16 30 53
3 2 45 38
3 18 28 58
4 4 43 44
27
2 17 2 19
3 3 17 5
3 19 0 24
4 5 15 10
28
2 17 33 46
3 3 48 32
3 19 31 51
4 5 4^ 37
29
2 18 5 13
3 4 IP 59
3 20 3 18
4 6 18 4
30
2 18 36 39
3 4 51 25
3 20 34 44
4 6 49 30
2 19 8 5
/ //
3 21 611
4 7 20 57
,/Wo^?^ Afhelii 0 29
0 35
; 0 41
0 47
d 19
,0 22
0-25
MEDIVS MOTVS MARTIS
AD DIES MENS IV M.
Die
Men-
JIs.
I
2
3.
4
5
6
7
8
9
lO
11
12
^3
14
15
16
17
18
19
20
21
22
23
24
2>
20
27
28
29
30
31
SEPTEMB.
OCTOBRIS
MOVEMB
DEC EM B.
Mediifi Motus
Mxrtis.
Medtus Mot Hi
Mariis.
Medim Motm
Martis.
Mediiis Motus
Martis.
soil/
S 0 1 /1
■So///
s
0 / //
4 7 52 25
4 8 23 51
4 8 55 18
4 9 25 45
4 9 58 II
4 23 35 44
4 24 711
4 24 38 38
4 25 10 4
4 25 41 31
5 9 50 31
5 10 21 57
5 10 53 24
5 II 24 51
5 II 56 17
25 33 50
25 5 17
25 35 44
27 8 10
27 39 37
4 10 2p 38
4 11 I 5
4 " 32 31
4 12 3 58
4 12 35 25
4 25 12 58
4 25 44 24
4 27 15 51
4 27 47 18
4 28 18 44
5 12 27 44
5 12 59 II
5 13 30 37
5 14 2 4
5 14 33 30
6
28 II 4
28 42 30
29 13 57
29 45 23
0 i5 50
4 13 ^51
4 rj 38 18
4H 945.
4 14 41 II
4 15 12 38
4 28 50 II
4 29 21 38
4 29 53 4
5 0 24 31
5 0 55 57
5 15 4 57
5 15 35 24
5 i5 7 50
5 i^ 39 17
5 17 10 43
6
6
6
6
6
0 48 17
1 19 43
1 51 10
2 22 37
2 54 3
4 15 44 4
4 i5 15 31
4 16 45 58
4 17 18 24
4 17 49 51
5 I 27 24
5 I 58 51*
5 2 30 17
5 3 I 44
5 3 33 11
5 17 42 10
5 18 13 37
5 18 45 4
5 19 i5 30
5 19 47 57
6
6
6
6
6
3 25 30
3 56 57
4 28 23
4 59 50
5 31 17
4 18 21 18
4 18 52 44
4 19 24 II
4 iP 55 38
4 20 27 4
5 4 4 37
5 4 36 4
5 5 731
5 5 38 57
5 5 10 24
5 20 19 24
5 20 50 50
5 21 22 17
5 21 53 44
5 22 25 10
6
6 2 43
6
6
6
6
5 34 10
7 5 37
7 37 3
8 8 30
4 20 58 31
4 21 25) 58
4 22 '1 24
4 22 32 51
4 23 4 18
5 ^ 41 51
5 7 13 17
5 i 7 44 44
5 i 8 i5 II
5 8 47 37
5 22 56 37
5 23 28 4
5 23 ^9 30
5 24 30 57
5 25 2 24
6
6
6
6
6
8 39 57
9 II 23
9 42 50
10 14 17
10 45 43
/ //
5 9 19 4
/ //
6
II 17 10
Motm
.-./'//c?/^/ 0 53.
Nod; 0 2b
0 58
0 32
I 4
0 35
I 10
0 3S
MEDII MOTVS MARTIS AB MQVINOCTIO.
IN ANNORVM CENTVRIIS.
Julian.
CoUeSt.
lOO
2 00
300
400
500
600
700
800
poo
1000
1 1 00
1200
1300
1400
IJOO
Meditis Motm
Martiu
I 42 2G
3 2440
5 7 o
6 49 20
8 31 40
Motus Aphel.
Martk.
Motus NoS
MartU.
o I 56 40
o 3 53 20
o 5 JO o
o 7 46 40
o 9 4'3
20
o 10 14 o
2 II 56 20
4 13 38 40
6 15 21 o
o II 40 o
o 13 3<5 40
o 15 53 20
o 17 30 c
8 17 3 20 o 19 2d 40
10 18 45 40
o 20 28 o
2 22 10 20
4 23 52 40
6 2j 35 o
idoo
1700
1800
1900
2000
2100
2200
2300
2400
2500
2600
2700
2800
2900
3000
8 27 17 20
10 28 J9 40
I G 42 o
3, 2 24 20
5 4 640
7 5 49 o
9 7 31 20
II 9 13 4^
I 10 55 o
3 12 38 20
c 21 23
o 23 20
o 25 16 40
o 27 13 20
o 29 10
1 3 20
2 6 40
o 3 10
o 413 20
o 5 16 40
IN HORIS ET MIN
o 6 20 o
o 7 23 20
o 8 2<? 40
o 9 30 o
o 10 33 20
I I 6 40
I 3 3 20
I 50 o
I 6 56 40
I 8 53 2C
5 14 20 40
716 3 o
9 17 45 20
II 19 27 40
I 21 10 o
3IODJ 3 2-2 52 20
.200. 5 24 34 4°
I 10 50 o
I 12 46 40
I 14 43 20
I 16 40 o
I 18 36 40
I 20 33; 20
I 22 30 o
I 24 26 40
I 25 23
I 28 20
20
2 o I <5 49
2 2 13 2(b
Oil 3 6 40
O 12 40 O
o 13 43 20
o 14 46 40
o 15 50 o
o 16 5320
0 17 56 40
o 19 o o
o 20 3 20
021 5 40
O 22 10
o 23 13 20
o 24 16 40
o 25 20 o
O 26 25 2C
o 27 26 40
o 28 36 o
0 29 33 2'C
1 o 35 4c
I I 40 o
Mediui Motm Mariis,
I 2 43 20
i; 3 4^ 40
/
// ///
H
0
/ //
I
0
I 19
2
0
2 37
3
0
3 56
4
0
5 14
5
0
6 33
6
0
7 52
7
0
9 TO
8
0
10 29
9
0
II 48
10
0
13 6
11
0
14 25
12
0
15 43
13
0
17 2
H
0
18 21
15
0
19 39
16
0
20 58
17
0
22 1(5
18
0
23 35
19
0
24 54
20
0
26 12
21
0
27 31
22
0
28 49
^-3
0
30 8
24
0
31 27
32 45
034 4
o 35 22
o 35 41
o 38 o
o 39 18
o 40 37
o 41 56
o 43 14
o 44^ 33
o 45 51
o 47 10
o 48 29
o 49 47
051 6
o 52 24
o 53 43
o 55 2
o 55 20
o 57 39
o 58 58
0 16
1 35
2 53
4 12
5 31
I 6 49
X 8 8
I 9 26
I 10 45
I 12 4
I 13 22
I 14 41
I 15 59
I 17
I 18 37
TABVLA MdVATIO NVM MARTIS.
Anomdix media Martu.
o
I
2
3
4
5
I
9
lO
II
12
13
14
15
16
17
18
19
20
2t
2 2'
23
24
25
26
■ 27
28
29
30;
Sig. 0.
Sabtr.
Dfe.
rentia
Sig. I.
Suhtr.
rentia.
Sig. II.
Sabtr
° 1 II
8 41 x6
Dtffe.
rentia.
30
29
28
27
26
25
24
23
■ 22
21
20
'I
18
17
\6
15
14
13
12
II
10
9
8
7
5
4
' I:
2-
I
0
Gr.
a 1 II
/ //
° 1 II
1 II
1 II
000
10 0
9 59
9 59
9 59
9 58
9 58
. 9 57
9 56
9 55
9 54
9 52
9 51
9 49
9 48
9 4^
P 44
9 42
9 39
9 37
9 36
9 32
9 29
9 27
9 23
9 20
^ 18
9 14
9 10
9 6
9 3
4 50 I
8 59
8 55
8 51
8 4d
8 42
8 37
8 33
8 28
8 23
8 18
8 12
8 7
8 1
7 56
7 51
7 45
7 39
7 32
7 26
7 20
7 13
7 ^
6 59
6 53
645
6 39
6 31
6 23
6 \6
6. 8
5 53
5 44
5 36
5 28
5 20
5 II
5 2
4 5-3
4 45
4 3<5
4 26
4 1-7
4 8
3 58
3 48
3 38
3 29
.3 19
3 9
2 58
2 48
2 38
2 28
2 17
2 6
I 55
I 44.
I 33
I 22
0 10 0
0 19 59
0 29 58
0 Z9 57
0 49 55
4 59 0
5 7 55
5 16 46
5 25 32
5 34 14
8 47 17
8 53 10
8 58 54
9 4 30
9 9 5«
0 59 53
1 9 50
I 19 46
I 29 41
I 39 35
I 49 27
1 59 18
2 9 7
2 18 55
2 28 41
2 38 25
2 48 7
2 57 46
3 7 23
3 16 59
3 26 31
3 36 0
3 45 27
3 54 5°
4 4 10
4 13 28
4 22 42
4 31 52
4 40 58
4 50 I
5 42 51
5 51 24
.5 59 52
6 8 15
6 x6 33
9 15 18
9 20 29
9 25 31
9 30 24
9 35 9
6 24 45
6 32 52
. 6 40 53
6 48 49
6 56 40
9 39 45
9 44 II
9 48 28
9 52 36
9 56 34
7 4 25
7 li 4
7 19 36
7 27 2
7 34 22
10 0 22
10 40
10 7 29
10 10 48
10 13 57
7 41 35
7 48 41
7 55 4^
^ 2 33
8 9 18
10 16 55
10 19 43
10 2-2 21
.10 24 49
10 27 6
8 15 57
8 22 28
8 28 52
8 35 8
8 41 16
10 29 12
10 31 7
10 32 51
:io 34 24
10 35 46
Sig. XI.
Adie.
i)//
Sig. X.
A4de.
^{^:
Sig. IX.
AMe.
Dtff.
tJBVLA JE-QVATIO NV M MART IS.
Anomalia media Martis. 1
Sig. HI.
Dtp-
Sig. IV. Dtffe.\ \
Sig.y. : D#j|
Gr.
5«^?r.
f-entiA.
Sukr.
rentia. .
5a^ir. ,
nnttn.
30
0 / ii
/ //
a t II
1 II
0 / //
1 II
10 35 46
9 44 59
4 52
5 5
5 17
5 29
5 42
5 54
^ 5
6 17
6 28
6 40
5 54 42
I
10 36 57
I 0
9 40 7
5 44 20
10 30
10 39
ro 47
29
2 \
3
10 37 57
10 38 45
0 48
0 35
0 25
0 14
0 2
9 35 2
9 2p 45
5 33 50
5 23 II
28I
^7|
4
5
10 39 21
10 39 46
9 24 16
9 18 34
5 12 24
5 I 29
10 55
11 2
261
1
6
10 40 0
9 12 40
4 50 27
II 9
II 16
II 23
II 29
A
7
8
9
lO
10 40 , 2 ,
10 39 52
10 39 30
10 38 57
9 6 35
9 0 18
8 53 50
8 47 10
4 39 18
4 28 2
4 i<5 39
4 5 10
22j.
2l|
20
0 10
0 22
0 33
0 45
6 53
II 36
11
i3|
14
15
TO 38 12
10 37 14
10 36 4
10 34 43
10 33 9
0 58
1 10
I 21
I 34
8 40 17
8 33 II
8 25 55
8 18 27
8 10 47
7 6
7 28
7 40
7 51
I 5
8 13
8 24
8 34
3 53 34
3 41 52
3 30 5
3 18 II
3 ^ 13
II 42
II 47
II 54
11 58
12 2
12 7
12 13
12 16
19
I 81
17,
16
15
16
17;
18
10 31 22
1:0 29 24
10 27 T4-^
I 47
1 58
2 10
2 23
2 36
8 2 56
7 54 53
7 46 40
2 54 II
2 42 4
2 29 51
14
13
12
19
20
10 24 51
10 22 15
7 38 i5
7 29 42
2 17 35
2 5 16
12 19
II
10
2 48
3 0
3 12
3 25
3 37
8 45
8 55
9 6
9 17
9 26
-
21
22
23
24
25
10 19 27
10 16 27
10 13 15
10 9 50
10 6 13
7 20 57
7 12 2
7 2 56
^ 53 39
6 44 13
I 52 54
I 40 29
I 28 2
I 15 32
I 3 0
12 25-
12 27
12 30
12 32
9
8
7
6
5
3 50
9 35
12 34
■
26
10 2 23
d 34 38
0 50 26
4
27
28
29
30
9 58 21
9 54 ^
9 49 39
9 44 59
4 ^
4 15
4 27
4 4°
6 24 53
6 14 58
6 4 54
5 54 42
9 45
9 55
10 4
10 12
0 37 51
0 25 14
0 12 37
000
12 35
12 37
12 37
12 37
3
2;
I
0
Sig.VlII.
^'J-
Sig. VII
Dijf.
Sig. VI.
r#-
<7r.
Adde.
Adde.
Adk.
LO GARIT HMl DISTJNTIJRVM MARTIS
A SOLE.
AnomdtA medU Martis.
Gr.
Sig. o.
Logar.
5 22151(5
I 5 221511
5 221497
3 5 221473
4 5 221441
5 221398
5 221346
5 221285
5 221215
5 221135
5 221046
5 220947
5 220839
5 220721
5 250594
5 220458
5 220313
5 220158
5 219994
5 219821
5 219639
5 219447
5 219245
5 219055
5 218817
5 218588
5 218351
5 2 18 1 04
5 217848
5 217583
5 217310
Sig.Xi. DiJ}
Dife-
rentia.
5
14
24
32
43
52
61
70
80
89
99
108
118
127
136
145
164
173
182
192
202
210
218
229
237
247
256
265
273
Sis. I.
Logar.
5 217310
217027
216735
216435
216126
215808
2 1 548 1
215145
214801
^14448
214087
213717
213338
212951
212556
212152
211740
21 1319
210890
210453
210009
209556
209095
208627
208152
207668
207175
206674
206167
205654
205134
Sig. X.
Dtffe.
rentia.
283
292
300
309
318
327
336
344
353
361
370
379
387
3P5
404
412
421
429
437
444
45 3
461
468
47)
484
4^3
501
507
513
520
Drff.
Sig. 11.
Loga,r.
5 205134
5 204606
5 204070
5 203527
5 2Q2977
5 202421
5 201857
5 201287
5 200711
5 200128
5 199538
5 198942
5 198340
5 197732
5 197118
5 196499
5 195874
5 195244
5 194608
5 193967
5 193322
5 192671
5 192015
5 191355
5 190650
5 190021
5 189347
5 188670
5 1879B9
5 187304
5 186615
Sig. IX.
Differ
rentia.
528
536
543
550
556
564
570
576
583
590
^9S
602
608
614
619
625
630
636
641
645
651
6^6
660
665
669
674
677
681
685
689
D;ff.
30
29
28
27^
26
24
23^
22
21
19
18
17
16
15
14
13
12
II
10
9
8
7
6
5
4
3
2
1
o
Gr.
Z z
LOGJRITHMI D I STANTJARVM MARTIS
A SOLE.
Anomalia. meiia, Mariii.
Gr.
Sig. III.
Logar.
5 186615
5 185924
5 18522^
5 184531
5 183831
5 183128
5 182423
5 181716
5 iSlood
5 i8o2P5
5 179582
J 178868
5 178153
5 177437
5 176721
5 176004
5 175287
5 174570
5 173853
5 173137
5 172421
5 171706
5 170992
5 170281
5 1^9572
5 168865
5 168160
5 167457
5 166756
5 166058
5 165366
Sig. VIIL
renttA.
691
695
698
700
703
705
707
710
711
715
714
715
716
716
717
717
717
717
716
716
715
714
711
709
707
705
703
701
698
692
Sig. IV.
Logar.
5 i6$^66
5 164676
5 163990
5 163309
5 162632
5 161960
5 161293
5 1 6063 1
5 159975
5 159325
5 158682
5 158045
5 I 5741 5
5 156792
5 156177
5 155570
5 I 5497 I
5 154380
5 1537^7
5 153223
5 152659
5 152104
5 151559
5 151024
5 150500
5 149986
5 149483
5 I 4899 I
5 148511
5 148043
5 147586
Sig. VII.
rentia..
690
686
681
677
672
667
662
656
650
643
637
630
623
615
607
599
591
583
574
564
555
545
535
524
514
503
492
480
468
457
Sig- V.
Logar.
5 1475 8<
5 147142
5 146710
5 1/^6291
5 145885
5 145492
5 145113
5 144747
5 144395
5 144057
5 143734
5 143425
5 143131
5 142852
5 142587
5 142338
5 142104
5 141886
5 141685
5 141496
5 14^325
5 141170
5 141031
5 140908
5 140801
5 140711
5 140637
5 140579
5 140538
5 1405 1 3
5 140505
Sig.VL
Dife.
renttx
JO
4.44
432
29
7,8
419
27
76
406
393
25
3.79
366
352
338
24
23
22
21
323
20
309
294
19
t8
279
265
16
249
15
23-4
218
.14
203
13
187
12
11
171
10
155
— .
139
9
8
123
107
7
6
so
i
74
58
4
41
3
2
25
8
I
0
Diff.
Gr.
TABVLA LATITVDINARIA MART IS.
Argu-
Sig. 0. hor.
Siibtr.
Sig. I. Bof.
Subtr.
Sig. 2. Bor.
Subtr.
ment.
Lafi-
Sig. (S. Au^
Subtr.
Cur-
tatio
Sig. 7. ^«/?.
Subtr.
Cur-
Sig. 8. Atift.
Subtr.
Cur-
tatio
tudi-
nis.
Indhiatio.
ReduSi.
Inclinatio.
KeduB.
Inclinatio.
ReduB
Gr.
o
I
0 1 /1
1 n
Log
0
0
0 / //
1 II
Log
56
do
0 1 II
1 II
Log.
170
173'
30
29
000
0 0
0 55 29
0 47
I 36 8
0 47
0 46
0 I 56
0 2
0 57 10
0 48
I 37 5
2
0 3 53
0 4
0
0 58 49
0 49
64
I 38 0
0 45
176
28
3
0 5 48
0 6
I
I 0 27
0 49
67
I 38 54
0 44
180
27
4
0 7 44
0 7
I
I 2 4
0 50
71
I 39 4^
0 43
183
26
5
0 9 40
0 9
2
I 3 40
0 51
74
I 40 36
0 41
186
25
6
0 n 36
0 II
2
I 5 14
0 51
7B
I 41 24
0 40
189
24
7
0 13 32
0 13
3
I 6 48
0 52
82
I 42 10
0 39
192
23
8
0 15 27
0 15
4
I 8 20
0 52
86
I 42 5 5
0 37
195
22
9
0 17 22
0 17
5
I 9 51
0 53
90
I 43 38
0 36
197
21
lO
II
0 19 16
0 18
7
8
I II 20
0 53
93
97
I 44 18
0 35
0 33
200
202
20
19
0 21 10
0 20
I 12 49
0 53
I 44 57
12
0 23 4
0 22
10
I 14 16
0 J4
101
I 45 34
0 32
205
18
13
0 24 58
0 24
II
I 15 42
0 54
105
I 45 9
0 30
207
17
14
0 2(5 51
0 25
13
I 17 6
0 54
109
I 46 42
0 29
209
16
15
16
0 28 43
0 27
15
^7
I 18 29
0 54
113
117
I 47 ^3
0 27
21 1
213
15
14
0 30 3 5
0 29
I 19 50
0 J4
I 47 42
0 25
17
0 32 27
0 3c
19
I 21 10
0 54
121
I 48 9
0 24
215
13
18
0 34 18
0 32
22
I 22 29
0 54
125
I 48 35
0 22
217
12
19
0 36 8
0 33
24
I 23 46
0 53
129
I 48 58
0 20
218
II
20
2-1
0 37 57
0 35
27
29
125 I
0 53
133
137
I 49 19
0 18
220
221
10
9
0 39 46
0 36
I 26 15
0 53
I 49 38
0 17
22
•0 41 34
0 37
32
r 27 28
0 52
141
I 49 55
0 15
222
8
23
0 43 22
0 39
34
I 28 38
0 5-2
144
I 50 10
0 13
223
7
24
0 45 8
0 40
37
I 29 48
0 51
148
I 50 23
0 II
224
6
25
2-6
0 45 54
0 41
40
43
I 30 55
0 51
152
155
I 50 35
0 9
225
225
5
4
•0 48 39
0 43
I 32 I
0 50
I 50 44
0 7
27
0 50 23
0 44
47
I 33 5
0 49
159
I 50 51
0 6
226
3
28
0 52 6
0 45
5°
I 34 7
0 49
163
I 50 56
0 4
226
2
29
0 53 48
0 46
53
I 35 8
0 48
166
I 50 59
0 2
226
I
30
0 55 29
0 47
56
I 36 8
0 47
170
I 51 0
0 0
226
0
Gr.
Sig.ii.^«/?
Adde.
S'lg.io. Aufi.
Adde.
Sig„ 9. Aufl.
Adde.
Sig. 5. Bor. 1 v«</^f.
Sig. 4. Bfr
'Adde.
Sig, 3. Bor.
Adde.
SERIES OPPOSITIONVM SOLIS
ET MARTIs\
NOSTRJ jETATE facta RV M CVM
COMPVTO
PRjECEDENTE collata.
Oppofoioftum Tempora
Locus So/is
Anom. rued.
/W^rj Heliocen-
Error
aquara Londini.
verus.
Martis.
tricus comp.
Comp.
D. H. /
0 1 II
S 0 1 II
0 1 II
1 Ji
1657 Sept. 27 II II
^ry
15 3 36
7 8 5 51
T
15 3 36
* *
1659 Nov. 21 II 33
/
9 51 2
8 29 27 36
11
9 49 56
— I 6
1 661 Dec. 30 <5 0
■^
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EPOC HM
MEDIORVM MOTVV M J 0 F I S.
Annis
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EPOCHAL MED 10 RV M MOTWM J 0 F I S.
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4
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4 10 50 10
53 0
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32
5
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6
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7
29 10 4
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MEDIVS MOTVSJOFIS
'
AD DIES MENS IV M,
JANUAR
FEBRUA
MARTII
Med. Mot.
APRILIS
MAII
JUNII
Die
Men-
fis.
M^. M)f.
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il/fi. Mot.
Med. Mut.
Med. Mot.
Jmju.
Jovis.
Joniis.
Jovis.
Jovii.
Jovis.
0 1 II
0 1 II
° 1 II
° 1 II
0 / ;/
0 / //
I
0 4 59
2 39 37
4 59 17
1 33 55
10 3 33
12 38 II
2
0 9 59
2 44 36
5 4 i^
7 38 54
10 8 33
12 43 10
3
0 14 58
2 49 16
5 9 i^
7 43 53
10 13 32
12 48 10
4
0 15» 57
2 54 35
5 14 15
7 48 53
10 18 31
12 53 9
5
6
0 24 56
0 29 56
2 59 34
5 19 14
7 53 52
10 23 30
10 28 30
12 58 8
3 4 33
5 24 13
7 58 51
13 3 7
7
0 34 55
3 9 33
i 29 13
8 3 50
10 33 29
13- 8 7
8
0 39 54
3 14 32
5 34 12
8 8 50
10 38 28
13 13 6
9
0 44 54
3 19 31
5 39 II
8 13 49
10 43 28
13 18 5
lO
0 49 53
3 24 31
5 44 II
8 18 48
10 48 27
13 23 5
II
0 54 52
3 29 30
5 49 10
8 23 48
10 53 2(5
13 28 4
12
0 59 51
3 34 29
5 5^4 9
8 28 47
10 58 25
13 33 3
13
1 4 51
3 39 28
5 59 8
8 33 46
II 3 25
13 38 2
14
I 9 50
3 44 28
548
8 38 45
II 8 24
13 43 2
15
I 14 49
3 49 27
697
8 43 45
II 13 23
13 48 I
16
I 19 49
3 54 26
6 14 6
8 4844
II 18 23
13 55 0
17
I 24 48
3 59 26
6 19 6
s n 43
II 23 22
13 58 0
18
I 29 47
4 4 25
6 24 5
8 58 43
II 28 21
14 2 59
19
I 34 45
4 9 24
6 29 4
9 3 42
II 33 20
14 7 58
20
21
I 39 46
4 14 23
4 19 23
6 34 3
^ 39 3
9 8 41
9 13 40
II 38 20
II 43 19
14 12 57
I 44 45
14 17 57
22
I 49 44
4 24 22
6 44 2
9 18 40
II 48 18
14 22 56
23
I 54 44
4 29 21
6 49 I
9 23 39
II 53 18
14 27 55
24
I 59 43
4 54 21
6 J4 I
9 28 38
II 50 17
14 3.2 55
2)-
26
2 4 42
2 9 41
4 39 20
6 59 0
9 33 38
9 38 37
12 3 16
12 8 15
14 37 54
4 44 19
7 3 59
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27
2 14 41
4 49 18
7 8 58
9 43 36
12 13 15
14 47 52
2b
2 19 40
4 54 18
7 13 58
9 48 55
12 18 14
14 52 52
2$
2 24 39
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7 18 57
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12 23 13
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30
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7 23 56
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/ //
12 33 12
/ //
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012 0 18
0 24
0 30
0 36
Moi.Nodio 4
08 0 12
0 i5
0 21
0 25
MEDIVS MOTVS JOFIS \
AD DIES ME NSIVM.
JULII
AUGUST.
SEPTEM.
OCTOB.
NOVEM.
DECEMB.
Die
Mefi
Mi. Mat.
Med. Mot.
Med. Mot.
Med. Mot.
Med. Mot.
Med. Mot.
>W.f.
Jovis.
Joini.
Jovis.
Jovis.
Jovis.
Jk
0 / //
0 / //
0 / //
0 / //
° /
//
0 1 II
I
15 750
17 42 27
20 17 5
2 2 4d 44
25 21
21
27 51 0
2
15 12 49
17 47 27
20 22 4
22 51 43
25 2d
21
27 5.5 59
3
15-17 48
17 52 2d
20 27 4
2 2 5d 42
25 31
20
28 0 58
4
15 22 47
17 57 25
20 32 3
23 I 41
25 36
19
28 5 58
5
6
i)U7 47
18 2 24
20 37 2
23 d 41
25 41
19
28 10 57
15 32 46
18 7 24
20 42 2
23 II 40
25 4d
18
28 15 5d
7
15 37 45
18 12 23
20 47 I
23 Id 39
25 51
17
28 20 5d
8
15 42 45
18 17 22
20 52 0
23 21 39
25 56
Id
28 25 55
9
15 47 44
t8 22 22
20 5d 59
23 2d 38
2d I
Id
28 30 54
lO
II
15 52 43
18 27 21
21 I 5P
21 d 58
23 31 37
2d d
15
28 35 53-
15 57 42
18 32 20
23 3d 3d
2d II
14
28' 40 53
12
16 2 42
18 37 19
21 II 57
23 41 3d
2d Id
14
28 45 52
M
16 7 41
18 42 19
21 Id 57
23 46 35
2d 21
13
28 50 51
14
16 12 40
18 47 18
21 21 5d
23 51 34
2d 2d
12
28 55 51
15
1(5 17 40
18 52 17
21 2d 55
23 56 34
2d 31
II
29 0 50
16
16 22 39
18 57 17
21 31 54
24 I 33
2d 3d
II
29 5 49
17
16 27 38
19 2 id
21 3d 54
24 d 32
2d 41
10
29 10 48
18
16 32 37
19 7 15
21 41 53
24 " 31
2d 4d
9
29 15 48
19
T-6 37 37
19 12 14
21 4d 52
24 id 31
2d 51
9
29 20 47
20
21
id 42 36
19 17 14
21 51 52
24 21 30
25 $6
8
29 25 4d
i^ 47 35
19 22 13
21 5d 51
24 2d 29
27 I
7
29 30 4d
22
16 52 35
19 27 12
2 2 I 50
24 31 29
27 6
d
29 35 45
23
16 57 34
19 32 12
22 d 49
24 5d 28
27 Ji
d
29 40 44
24
17 2 33
19 37 "
2 2 II 49
24 41 27
27 j6
5
29 45 43
; 25
2d
17 7 32
19 42 10
22 id 48
24 4d 2d
27 21
4
29 50 43
17 12 32
19 47 9
22 21 47
24 51 2d
27 2d
3
29 55 42
27
17 17 31
19 52 9
22 2d 46
24 5d 25
27 31
3
30 0 41
28
17 22 30
19 57 8
22 31 46
25 I .24
27 3d
2
30 5 41
29
17 27 19
20 2 7
22 3d 45
25 d 24
27 41
I
30 10 40
. 50
17 32 25
20 7 7
22 41 44
2.5 II 23
27 45
I
30 15 39
• 31
17 37 28
20 12 6
/ //
25 id 22
/
I
//
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30 20 38
/?-fe^
Aphtl.o 42
0 48
.0 54
I 0
I 12
Mot. Nn/^i 0 29
0 33
0 37
P 42
0
41
0 50
ME DTI MO TVS JOFIS AB ^E Q^V I N 0 C T I 0.
IN JNNORVM C ENTVRIIS.
Julian.
CoUeef.
lOO
200
300
400
500
600
700
800
poo
1000
IIOO
1200
1300
1400
1500
1606
1700
1800
ipoo
2000
2100
2200
2300
2400
2-500
2600
2700
2800
2900
3000
Medii^i Motm
Jovis.
5 (5 28 II
10 12 55 22
3 iP 24 33
8 25 52 44
2 2 20 55 o 14,3
/Eqaat,
SecuU-
7 8 49 6
o 15 17 17
5: 21 45 28
10 28 13 3P
4 4 41 50
9 II 10 I
2 17 38 12
7 24 d 23
I o 34 34
5 7 2 45
II 13 30 J6
4 19 59 7
9 26 27 18
3 2 55 29
8 9 23 40
I 15 51 51
6 22 20 2
II 28 48 13
5 5 16 24
10 II 44 35
3 18 12 46
8 24 40 57
2198
7 7 37 iP
o 14 5 30
o 0,6
O 2,3
O 5,2
O 9,2
Afhelii
Motas No-
di Jovis.
o 20,6
o 28,1
o 3^,7
o 46,4
0 57,3
1 9,4
I 22,6
1 S^^9
I 52,4
2 9,0
2 26,8
2 45,7
3 5,8
3 27,0
3 49,4
4 12.9
4 37,5
5 3,3
5 30.3
5 58,4
6 27,7
6 58,0
7 2P>6
8 2,0
8 36,1
0
2 0
I 23 20
0
4 0
2 45 40
0
6 0
4 10 0
0
8 0
5 33 20
0
10 0
6 56 40
0
12 0
8 20 0
0
14 0
9 43 20
0
i5 0
II d 40
0
18 0
12 30 0
0
20 0
13 53 20
0
22 0
15 16 40
0
24 0
1 5 40 0
0
2(5 0
18 3 20
0
28 0
19 25 40
I
0 0
20 50 0
2 0
22 13 20
4 0
23 3<S 40
6 0
25 0 0
8 0
2(5 23 20
10 0
27 46 40
12 0
29 10 0
14 0
30 33 20
16 0
31 5^ 40
18 0
33 20 0
20 0
34 43 20
22 0
36 6 40
24 0
37 30 0
2(5 0
38 53 20
28 0
40 1(5 40
0 0
41 40 0
[iV HORIS EI MIN
Mediits Motus Jo
// ///
H
/ //
I
0 12
2
0 25
3
<^ 37
4
0 50
5
I 2
6
I 15
7
I 27
8
I 40
9
I 52
10
2 5
II
2 17
12
2 30
13
2 42
H
2 54
15
3 7
\6
3 IP
17
3 32
18
3 44
19
3 57
20
4 9
21
4 22
22
4 34
23
4 47
24
4 59
25
5 12
16
5 24
27
5 37
28
5 49
29
6 I
30I 6 14I
6 25
6 39
6 51
7 4
7 16
JEludtio SecuUris addenda, ejl medio Jovis Motui,
quam fufuris.
7 29
7 42
Z ^4
8 6
8 19
^ 31
8 43.
8 56
9 8
9 21
9 33
9 4^
9 58
10 II
10 23
10 36
10 48
11 I
II 13
II 26
II 38
11 50
12 3
12 15
12 28
tarn in Seoul is prateritn
TJBVLJ MQVJTIONVM J O V 1 S.
AnomaliA
Jovis.
Df.
J II
30
3 I
2 56
29
?,8
2 51
2 47
27
2d
2 42
25
2 36
2 31
24
2 26
23
22
2 21
21
2 17
20
2 II
2 6
IP
18
2 0
I 55
I 50
17
Id
M
1 44
I 39
14
I 33
13
I 27
12
II
I 22
10
I 17
I II
9
8
I 5
T 0
7
d
0 54
5
0 47
0 41
4
3
2
0 35
0 ^9
0 24
0
Diff.
Gr.
Qr.
big. o.
Stthtr.
o 5 28
o 10 55
O id 22
O 21 49
o 27 id
o 32 42
o 38 8
o 43 33
o 48 57
o 54 21
0 59 44
1 5 5
I 10 2d
I 15 4d
I 21 4
I 2d 21
I 31 37
I 3d 52
I 42 5
I 47 17
I 52 27
1 57 35
2 2 41
2 7 45
2 12 47
2 17 48
2 22 47
2 27 44
2 32 38
2 37 29
Sig. XL
Adds.
Wf
1 II
5 28
5 27
5 27
5 27
5 27
5 2d
5 2d
5 25
5 24
5 24
5 23
5 21
5 21
5 20
5 18
5 17
5 16
5 15
5 13
5 12
5 1°
5 8
5 6
5 4
5 2
5 I
4 59
4 57
4 54
4 51
D;/.
Sig. I.
Subtr.
0 1 II
2 37 29
2 42 17
2 47 3
2 51 47
2 5d 28
3 I d
3 5 41
3 10 13
3 H 42
3 19 9
3 23 33
3 27 54
3 32 II
3 3^ 24
3 40 34
3 44 40
3 48 43
3 52 42
3 56 37
4 0 28
4 4 Id
480
4 II 40
4 15 15
4 18 4d
4 22 13
4 25 3d
4 28 54
4 32 8
4 35 17
4 38 22
Sig. X.
AMe.
Dif
4 48
4 46
4 44
4 41
4 38
4 35
4 32
4 29
4 27
4 24
4 21
4 17
4 13
4 10
4 d
4 3
3 59
3 55
3 44
3 40
3 35
3 31
3 27
Diff.
Sig. II.
Subtr.
4 35 22
4 41 23
4 44 19
4 47 10
4 49 57
4 52 39
55 15
57 4^
o 12
2 33
4 50
5 7 I
5 9 7
5 II 7
5 13 2
5 14 52
Id 3d
18 15
19 48
21 15
22 37
5 23 54
5 25 5
5 2d 10
5 27 10
5 28 4
5 28 51
5 29 32
5 30 7
5 30 36
5 31 o
Sig. IX.
Aide.
T A B V L A MOVATIONVM J 0 V I S.
Anomdta, medta Jovis..
g7.
o
I
2
3
4
5
7
8
9
lo
II
12
13
14
15
16
17
18
IP
20
21
22
23
24
25
26
27
28
29
30
Sig.III.
Subtr
Diff.
1 II
0 18
0 12
0 6
0 0
0 6
0 12
0 18
0 25
0 31
0 37
0 43
0 49
0 55
1 2
I 8
I 14
I 20
I 25
I 32
1 38
I 44
I 50
1 57
2 4
2 10
2 15
2 21
2 26
2 33
2 39
D//.
Sig. IV.
Subtr.
Dif.
1 II
2 45
2 51
2 56
3 2
3 7
3 13
3 19
3 25
3 30
3 36
3 41
3 4^
3 52
3 57
4 2
4 6
4 II
4 17
4 22
4 27
4 31
4 35
4 40
4 45
4 49
4 53
4 57
5 2
5 6
5 9
Sig. V.
Subtr.
Diff.
1 II
5 12
5 16
5 20
5 24
5 27
5 30
5 33
5 36
5 39
5 42
5 43
5 46
5 49
5 51
5 54
5 56
5 58
5 59
6 0
6 2
6 3
^ 5
^ 5
6 6
6 7
6 8
6 9
6 9
6 9
6 10
30
29
28
27
26
25
24
23
22
21
20
19
18
17
Id
15
14
13
12
II
10
9
8
7
6
5
4
3
2
I
0
Gr.
0 1 ti
0 1 II
0 t II
5 31 0
4 55 40
2 54 48
5 31 18
5 31 30
5 31 3^
5 31 3^
5 31 30
5 31 18
5 31 0
5 30 35
5 30 4
5 2P 27
4 52 55
4 50 4
4 47 8
4 44 ^
4 40 59
2 49 3*5
2 44 20
2 39 0
2 33 36
2 28 9
4 37 46
4 34 27
4 31 2
4 27 32
4 23 5^
2 22 39
2 17 6
2 II 30
2 5 51
209
5 28 44
5 27 55
5 27 0
5 25 58
5 24 50
4 20 15
4 16 29
4 12 37
4 8 40
4 4 38
I 54 26
I 48 40
I 42 51
I 37 0
I 31 6
5 23 36
5 22 16
5 20 50
5 19 17
5 17 39
4 0 32
3 5^ 21
3 52 4
3 47 42
3 43 15
I 25 10
I 19 12
I 13 13
I 7 13
I III
5 15 55
5 14 5
5 12 8
5 10 4
5 7 54
3 38 44
3 34 9
3 29 29
3 24 44
3 19 55
0 55 8
0 49 3
0 42 58
0 36 52
0 30 45
5 5 39
5 3 18
5 0 52
4 58 19
4 55 40
3 15 2
3 10 5
3 5 3
2 59 57
2 54 48
0 24 37
0 18 28
0 12 19
0 610
000
sig.vni.
AUe.
Sig. VII.
Adde.
Sig. VI.
Mde.
LOGARITHM I DISTANTIARVM J OF IS
A SOLE.
Anomalia. media Jovis.
Gr.
o
I
2
3
4
5
6
7
8
9
IC
I I
12
13
14
15
16
17
18
19
20
21
22
. 23
24
25
26
' 27
28
r 29
30
Sig. 0.
Slg. I.
Sig. n.
LogAvhh.
5 727144
sig.m.
Sig. IV.
Sig. V.
30
29
28
27
26
25
24
23
2-2
21
20
19
18
17
16
15
14
13
12
II
10
9
8
7
6
5
4
3
2-
I
0
Gr.
Logartth,
Logarithm
Logarith.
Logaritb.
Logartth.
5 736537
5 734080
5 753916
5 733747
5 733573
5 733394
5 735210
5 717093
5 716729
5 716364
5 715999
5 715633
5 715266
5 714899
) 714532
5 714165
5 713798
5 713431.
5 706290
5 697840
5 736534
5 736526
5 736512
5 736493
5 736468
5 736437
5 736401
5 736360
5 736313
5 736260
5 726848
5 726549
5 726247
5 725942
5 725633
5 705952
5 705616
5 705284
5 704955
5 704630
5 ^gqe-^.e
5 697438
5 697246
5 697060
5 696880
5 753021
5 732827
5 732629
5 732426
5 732218
5 725321
5 725006
5 724688
5 724367
5 724043
5 704507
5 703988
5 705672
5 703360
5 703052
5 696707
5 696540
5 6961^0
) 696227
5 696080
5 736202
5 736139
5 756070
5 735996
5 735916
5 732006
5 751789
5 731567
5 751541
5 731110
5 730875
5 730635
5 730391
5 730143
5 729890
5 723716
5 725586
5 725055
5 722718
5 722382
5 715064
5 712697
5 712351
5 711965
5 711 600
5 70274b
5 702447
5 702150
5 701857
5 701569
5 695940
5 695807
5 695680
5 695560
5 695447
5 735831
5 735740
5 735644
5 735542
5 735435
5 735324
5 735207
5 735084
5 7349.56
5 7348^23
5 722043
5 721701
5 721357
5 721011
5 720663
5 711236
5 710873
5 710511
5 710150
5 709791
5 709435
5 709076
5 708720
5 708366
5 708014
5 701280
5 701007
5 700732
5 700462
5 700197
5 695342
5 695244
5 695152
5 695067
5 694990
5 729633
5 729372
5 729107
5 728838
5 728565
5 720313
5 719961
5 719607
5 719252
5 718895
5 718536
5 718177
5 717816
5 717455
5 717093
5 699938
5 699683
5 699455
5 699189
5 698950
5 694920
5 694858
5 694803
5 694755
5 694715
5 734685
5 734541
5 734392
5 734238
5 73408c
5 728288
5 728008
5 727724
5 727456
5 727144
5 707665
5 707318
5 706973
5 706630
5 706290
5 698716
5 698488
5 698266
5 698050
5 697840
Slg. VIl,
5 694680
5 694655
5 694637
5 694626
5 694622
Sig. VL
Sig. XL
Sig. X.
Sig. IX.
Sig.VlII.
TABVLA LAT IT V D I N A R I A J 0 V I S.
: Argu-
Sig.o. Bor.
5«^;>-.
Slg. I. Bor.
Sukr.
Sig. 2. Bor.
Subtr.
ment.
• Lati-
Sig.6. ^«i?.
Subtr.
Cur-
tatio
Sig. 7. ^«/.
Subtr.
Cur.
tatio
Slg. 8. Aufi
Subtr.
Citr-
tatio
tudi-
nis.
Indimtio
ReduH
Log.
0
Imlinatio
ReduH.
Log.
29
htclinat'io
ReduSt.
Log.
86
Gr.
30
Gr
0 1 II
1 li
0 1 ii
1 II
° ' II
1 II
o
000
0 0
0 39 35
0 24
I 8 34
0 24
I
0 I 23
0 I
0
0 40 46
0 24
30
I 9 14
0 23
88
29
2
0 2 46
0 2
0
0 41 57
0 25
32
I 9 54
0 23
90
28
"^
049
0 3
0
0 43 7
0 25
34
I 10 32
0 22
91
27
4
0 5 31
0 4
0
0 44 16
0 25
36
I II 9
0 22
93
26
5
0 6 54
0 5
I
I
0 45 24
0 26
3«
40
I II 45
0 21
96
25
24
6
0 8 16
0 6
0 46 32
0 26
I 12 \9
0 20
7
0 9 39
0 7
2
0 47 39
0 26
42
I 12 52
0 20
91
23
8
oil 1
0 8
2
0 48 44
0 26
44
I 13 24
0 19
99
22
9
0 12 23
0 8
3
0 49 49
0 27
4d>
I 13 54
0 18
100
21
lO
0 13 45
0 9
3
0 50 53
0 27
48
I 14 23
0 18
102
20
1 1
015 6
0 10
4
0 51 56
0 27
50
r 14 51
0 17
10^
19 '
12
0 1(5 27
0 II
5
0 52 58
0 27
52
I 15 17
0 16
104
18
13
0 17 4c
0 12
6
0 53 59
0 27
53
I 15 42
0 15
105
17
H
0 \9 9
0 13
7
0 55 0
0 27
55
I 16 6
0 14
106
16
15
0 20 29
0 14
8
0 55 59
0 27
57
I 16 28
0 14
107
15
16
0 21 45?
0 14
9
0 56 57
0 27
59
I 16 49
0 .13
108
14
17
0 25 5
0 15
10
0 57 54
0 27
61
I 17 8
0 12
109
13
18
0 24 28
0 16
1 1
0 58 50
0 27
64
I 17 26
0 II
no
12
IP
0 25 46
0 17
12
0 59 45
0 27
66
I 17 43
0 10
I II
1 1
20
0 27 5
0 18
13
I 0 39
0 27
68
I 17 58
0 9
112
10
21
0 28 22
0 18
15
I I 31
0 27
69
I 18 II
0 8
112
9
22
0 29 39
0 19
16
I 2 23
0 26
71
I 18 24
0 8
in
8 ■
23
0 30 56
0 20
18
I 3 13
0 26
73
I 18 35
0 7
in
7
24
0 32 12
0 20
19
I 4 3
0 26
75
I 18 44
0 6
114
6
25
^ 33 27
c 21
20
I 4 51
0 26
77
I 18 52
0 5
114
5
26
o 34 42
0 22
22
r 5 38
0 25
79
I 18 58
0 4
114
4
27
0 35 56
0 22
24
I 6 24
0 25
81
I 19 3
0 3
ii=i
28
0 37 10
0 23
25
I 7 B
0 25
«3
I 19 7
0 2
115
2$
0 38 23
0 23
27
I 7 52
0 24
«5
I 19 '9
0 I
115
I
3^
^ 39 35
0 24
29
I 8 34
0 24
Mde.
86
I 19 10
0 c
Addc.
II)
0
Sig.ii.^K/?.
Mde.
Slg.-lQ.Anfi.
Sig. 9 ^ufi.
!
Sig. y. Sor.
Mde.
Sig. 4. B«r.
Mde.
Sig. 3. B,r.
Add'..
Lir
C c c
SERIES OPPOSiriONVM SOLIS ET JOFIS
NOSTRA MTATE FJCTARVM CVM
COMPVTO PRECEDENTS COLLATA.
Qvpofieionum Ifempora
£oc^ Solii
Anom. med.
Jupiter Helio.
Error
aqaafa Londini.
verm.
Jovis.
centric fit cpmp.
Qomp.
D. H. /
0 / II
Soil,
° I II
1 II
1657 Dec, 16 II 2
^ 5 47 3
8 21 31 2
S 5 44 56
—2 7
1659 Ja». 17 II 38
^s 8 8 32
9 24 30 7
a 8 8 23
— 0 9
1660 FeL 17 6 48
H 8 58 2
10 27 23 12
W 8 58 44
+0 42
1661 Mart.iS 17 49
T 8 59 14
0 0 14 28
ft 9 0 27
-l-i 13
1662 Apr. 18 ip 22
« 9 4 57
I 3 8 52
TR 9 5 22
-f 0 25
166$ Mali 21 76
K 10 5 55
2 6 10 9
/10 4 47
—I 8
1664 Jufi. 23 19 3
S 12 46 49
3 9 21 33
■^ 12 42 44
—4 5
1665 }a/. 30 7 4
R 17 26 46
4 12 42 58
^ 17 21 18
-5 28
1666 Sept. 5 23 21
TTi) 23 43 18
5 16 10 14
H 23 39 46
—3 32
1667 oa. 13 10 4
Tft 0 30 49
6 19 Z6 17
^ 0 29 37
— I 12
1668 Nov. I J 6 46
/ 6 24 48
7 23 4 12
I 6 26 0
-M 12
1669 Dec. 20 23 15
■V? 10 28 5
8 26 150
G 10 31 8
H-3 3
1671 Jm. 21 19 9
X^ 12 36 II
9 29 0 0
a 12 39 56
+3 45
1672 Feb. 21 12 31
K 13 17 H
II I 5:2 32
^ 13 20 54
-+-3 0
1673 Mart. 2^ 0 49
T 13 18 I
0 4 44 3
ft 13 19 5P
H-i 58
•4-0 12
1674 ^/T. 23 6 20
^5 13 29 13
I 7 39 10
T?|, 13 29 25
1675 Mail 26 0 10
IT 14 41 55
2 ic 41 47
/ 144° 7
— I 48
1676 'Jan. 28 18 57
S 17 38 15
3 13 54 40
Y? 17 34 0
—4 15
1677 ^a^. 4 II 5^
b1 22' 32 40
4 17 17 4
;;^^ 22 28 23
—4 17
1678 5e/>f. II 5 50
W 28 58 35
5 20 44 40
y, 28 56 12
—2 23
1679 0£}. 18 13 7
Tfl 5 44 0
($ 24 10 5
c5 5 43 38
—0 22
1680 Nsx». 22 2 49
/ II 24 45
7 27 26 51
H II 26 31
-hi 46
16S1 Dec. 25 12 41
"V^ 15 14 20
9 0 32 45
S 15 15 38
-fl 18
1683 Jan. 26 5 13
^ 17 10 0
10 3 30 7
a 17 10 28
-4-0 28
1684 Feb. 25 20 26
K 17 42 38
II 6 22 21
ni' 17 42 47
-f 0 9
1685 Mart. 2-] 9 4
T 17 19 15
0 9 13 50
ft 17 39 55
-+0 40
1686 ^/'y. 27 17 9
^ 17 52 40
112 931
Til 17 54 34
-f-i 54
1 6-87 Mail 30 15 II
IC 19 12 40
2 15 13 2
/ 19 16 48
+4 8
1688 Julii 3 14 44
© 22 20 0
3 18 26 52
A'^ 22 26 29
-1-6 29
1689 Aug. 9 12 17
a 27 28 10
4 21 50 15
"^a^ 27 35 16
-f8 6\
SERIES
0 PPOSITIONVM SOLIS ET JOFIS
NOST.RJ JETJTE FACTARVM CVM
COMPVTO
PRjECEDENTE collata.
Oppojttiouum 7
empora
Locus Salts
Anom. med.
Jupiter Hello-
Error
aquatA Londini.
verm.
Jovis.
centricm comp.
CoTiip.
D.
H. /
° / //
s
0 / //
IS 1 II
1 /1
■^1 5
i5po Sept.i6
8 19
ft
450
5
25 18 14
T
4 12 5
1691 Ocf. 23
13 17
"I
10 50 45
6
28 43 7
«b
10 55 38
+4 53
1692 N0V.26
22 45
^
16 24 45
8
I 59 I
il
16 25 27
H-o 42
J 69 3 Dec. 30
3 33
'V?
20 0 0
9
5 3 57
sa
19 58 18
—I 42
i6p5 Jaa. 30
14 46
J^
21 42 5
10
8 0 14
a
21 39 17
-2 48
1696 M.Art. I
3 47
M
22 5 25
II
10 51 55
ny
22 3 38
—I 47
1697 Mart.^i
17 18
T
21 J9 52
0
13 43 43
ft
22 0 II
-t-o 19
169S Mali 2
5 26
6
22 19 8
I
1 5 40 16
"L
22 21 6
+1 58
1699 Jufi. 4
9 33
Ji
23 51 10
2
19 45 0
V'
23 55 57
-+-4 47
1700 Jul. 8
14.0
$P
27 I J 0
3
23 0 14
■V?
27 22 II
-4-7 14
1 701 Aug. 14
20 2
ne
2 42 15
4
26 24 55
K
2 47 23
+5 8
1 702 Sept. 2 1
17 1
9 27 35
5
29 53 10
V
9 29 35
+2 0
1703 oa. 28
17 20
"I
16 8 0
7
3 17 6
6
16 6 36
—I 24
1704 Dec. I
18 46
/
21 25: 0
8
6 31 t8
il
21 22 26
—2 34
1705 >». 3
l5 6
^
24 41 37
9
9 34 41
ea
24 38 37
-3 0
1707 Feh. 3
21 55
«AJJ
26 7 40
10
12 29 52
a
26 6 21
— I 19
1708 yJf4?'^ 5
9 10
>^
25 23 48
II
15 21 9
W
26 23 47
-fo 59
1709 Apr. 5
0 50
.y>
26 18 10
0
18 13 20
UM
25 20 37
-4-2 27
1710 Maii 6
17 55
«
26 45 37
I
21 10 54
fri
25 48 55
H-3 18
171 1 3^«». 9
6 22
il
28 35 20
2
24 17 25
/
28 37 42
-¥2 22
17 1 2 Jul. 13
21 38
a
2 20 45
3
27 34 29
vws
2 21 2
-+-0 17
1713 Aug.2o
5 53
ffi!
8 2 10
5
I 0 5
H
8 I 5
— 1 5
1 7 14 ^e/»/^. 27
2 4
ur\-
14 52 0
6
4 28 10
T
14 47 10
—4 50
171 5 A'<?x'. 2
19 13
Hi
21 20 27
7
7 5<^ 36
d
21 17 14
—3 13
1 71 6 Dff. 6
12 35
/
26 20 18
a
1138
JI
25 i5 45
—3 32 -
1718 Jan. 8
2 32
V?
29 17 40
9
14 4 58
G
29 i5 30
~^i 10
17 19 M. 8
4 12
H
0 30 35
10
16 59 11
m
0 31 52
-M 17
1720 Mart. 9
16 20
■y
0 43 51
11
19 50 45
u-u
0 43 51
-h
172 1 >^^/-. 9
10 52
«
0 41 59
0
22 43 36
TH.
0 41 59
-t-
1722 yJ/rfii 11
9 19
JI
I 18 41
I
25 42 13
/
I 18 41
H-
EPOCHAL MEDIO RVM MOTVVM SJTVRNI.
Annis
anh
Satiirnus ab
.^pj^eZ. T?
NolT,
Annis
Jidi
Sahirnus ab
Apbel h
ZV^oi.lj
JEquinoS.
/27^
©20^
anis
JEqtiinoil.
/28°
©21°
tibits.
1 661
So///
0 / //
0 / //
tibus.
1696
So / //
0 / //
/ //
7 12 15 29
41 2C
53 24
9 20 19 4
28 0
3 54
6z
7 24 28 50
42 40
53 42
97
10 2 34 26
29 20
4 12
63
8 6 42 12
44 ^
54 0
98
10 14 47 48
30 40
4 30
64
8 18 5J 33
45 2C
54 18
99
10 27 I 9
32 0
4 48
1665
9 I 10 55
46 40
54 26
1700
XI 9 14 31
33 20
5 6
1666
913 24 17
48 0
54 54
1701
II 21 29 53
• 34 40
5 24
67
9 25 37 3^
49 20
55 12
2
0 3 43 14
36 0
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6'6
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SEPTEM.
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MEDII MOTVS SJTVRNI JB /EQVINOCTIO.
IN ANNORVM CENTVP.IIS.
INHORISETMIN.
Meiiui Mot 144
^qaatio
Motm Afhelii
Moms
Nodi
Saturni
Medius Motia Saiurm.
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JuUan.
cotica.
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Saturm.
1
1
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31
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3 46
5 51
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5 55,9
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3 56
1800
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7 30,4
I 10 0 0
9 0
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4 I
1900
6 18 54 0
8 21,8
I 12 13 20
9 30
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4 6
2000
2100
II 12 00
9 ld,l
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ID 0
20
21
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50
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4560
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2600
II 7 30 0
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12 30
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2d
2 d
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55
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13 30
27
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2800
I 16 48 0
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4 51
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5 I
ALquatio Secular is fubtrahenda eft e medio Motu Saturni tammS?culis '
\ prateritis quam futuris.
T A BV L A yE Q V A T I 0 N V M S A T V R NT.
Anomalia media, Saturni.
Gr.
%6
27
28
29
30
Gr
Sig.o.
■ Suhtr.
o 6 23
o I 2 46
o 19 9
o 25 31
3 31 53
~f75
o 44 36
o 50 56
0 57 16
1 3 34
I 9 52
I i5 9
I 22 25
I 28 S9
I 34 52
I 41 4
I 47 14
I 53 23
1 59 30
2 5 35
2 II 38
2 17 40
2 23 39
2 29 3^
2 35 31
2 41 23
2 47 13
2 53 o
2 58 45
3 4 27
Sig. XI.
AdJe.
Di-f.
6 23
6 23
^ 23
6 22
(5 22
5 22
6 21
6 20
6 20
d 18
d 17
10
9
7
5
3
2
5 59
5 57
5 55
5 52
5 50
5 47
5 45
5 42
Sig. I.
Diff.
1 ii
5 Z9
.
Suhtr.
0 1 /I
3 4 27
3 10 6
3 15 43
5 37
3 21 16
5 33
3 25 47
5 30
3 32 14
5 27
5 24
3 37 39
3 42 59
5 21
3 48 Id
5 17
3 53 29
5 13
3 58 40
5 10
5 6
4 3 46
5 3
4 8 49
4 13 48
4 59
4 18 43
4 55
4 23 33
4 50
4 4^
4 28 20
4 33 2
4 42
4 38
4 33
4 37 41
4 42 14
4 46 44
4 29
4 24
4 51 8
4 55 29
4 20
4 59 44
4 15
5 3 55
4 II
5 8 I
4 6
4 I
5 12 2
5 15. 58
3 56
5 19 49
3 51
5 23 34
3 45
5:27 13
3 39
Sig. X.
Adde.
Sig. II.
Subtr.
5 27 13
5 30 49
5 34 19
5 37 43
5 41 2
5 44 15
5 47 22
5 50 23
5 53 19
5 56 9
5 58 53
5 I 31
542
6 6 i-j
6 8 47
5 II o
6 13 6
6 15 7
6 17 I
6 18 48
6 20 28
6 22 2
6 23 30
6 24 51
6 26 5
6 27 12
6 28 12
6 29 5
6 29 52
6 30 31
6 31 3
Sig. IX.
Adde.
Diff.
3 36
3
30
3
24
3
19
3
13
3
7
3
I
2
55
2
50
2
44
2
38
2
31
2
25
2
19
2
13
2
6
0
54
47
40
34
28
21
14
7
0
0
53
0
46
0
39
0
32
Diff.
30
29
25
27
26
25
24
23
22
21
20
Gr.
E e e
TJBVLJ /E Qjp A T I 0 NV M S A T V R N I.
I AnomdU media. Saturm.
i
Gr.
■ o
Sig.III,
Dif
1 ii
1'
Sig.IV.
Dif
1 II
pig. v.:
Dif
1 \ II
30
0 / //
0 / //
0 / //
6313
5 51 18
3 28 41
0 26
0 ip
0 12
3 12
3 19
3 25
3 32
3 40
6 12
I
2
6 31 29
6 31 48
5 48 6
5 44 47
3 22 29
3 i5 12
6 17
6 21
29
28
3
4
5
6 32 0
6 32 4
6 32 I
0 4
0 3
5 41 22
5 37 50
5 34 10
3 9 51
3 3 25
2 55 57
6 25
5 29
27
26
2:5
0 10
0 18
0 25
0 32
0 39
3 47
3 53
4 0
4 7
4 13
6 33
6 37
5 40
6
7
6 31 51
6 31 33
5 30 23
5 25 30
2 50 24
2 43 47
■24
23
8
9
lo
6 31 8
6 30 36
6 29 58
5 22 30
5 18 23
5 14 10
2 37 7
2 30 23
2 23 35
^ 44
5 48
22
21
20
0 47
0 54
1 I
I 8
I 16
4 3Q
4 26
4 33
4 39
4 45
_
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IT
12
13
6 29 II
6 28 17
6 27 \6
6 2te 8
5 24 52
5 9 50
5 5 24
5 0 51
4 $6 12
4 51 26
2 i5 44
2 9 51
2 2 54
I 55 55
i: 48 53
6 53
5 56
5 59
.72
19
18
: 17
: 15
15^
_^_
I 23
4 51
7 4
16
18
19
6 23 29
d 21 58
6 20 20
6 18 35
1 38
I 45
I 52
4 46 35
4 41 38
4 36 35
4 31 26
4 57
5 3
5 9
5 i^
r 41 49
I 34 43
I 27 34
I 20 23
7 6
7 9
7 II
-7 13
14
13
12
II-
20
6 16 43
4 25 10
I 13 10
10
.
2 0
5 21
7. 14
21
22
23
24
25
6 14 42
6 12 35
6 10 21
680
6 5 31
2 7
2 14
2 21
2 29
2 36
4 20 49
4 15 22
4 9 49
4 4 11
3 58 29
5 27
5 33
5 38
5 42
5 47
I 5 5^
0 58 40
0 51 23
0 44 5
0 35 46
7 16
7 17
7 18
7 19
7- 21
9
S
7
5
5
26
6 2 55
3 52 42
5 53
5 58
6 3
6 7
Diff.
0: 29 25
4
27
28
29
30
0 0 II
5 57 21
5 54 23
5 51 18
Sig.VIII.
2 43
2 50
2 58
•3 5
3 45 49
3 40 51
3 34 48
3 28 41
Sig. VII.
0 22 4
0 14 43
0 7 22
00 0
7 21
7 21
7 21
7 22
3
I
0
Sig. VI.'
^i/T.
dr:
Adde.
Adde.
\
i^^. j
{
LOGARIT HMl DISTJNTIAKVM SATVRNI
A S 0 L E.
AriQmdia medta Saturni.
Gr.
II
12
14.
15
16
18
^9
20
Logarith.
6 003628
003625
003615
003 5PP
003577
003 54?
003513
003471
003424
003 3 6p
003 3 09
003242
003 17P
003090
003004
00291 i
6 002813
6 002708
6 00259^
6 002481
6 0023 5§
6 002229
002094
6 001952
6 001804
6 001650
6 001490
6 001324
6 ooii 52
6 000974
6 C00791
Si2. XL
rentia.
10
16
22
29
35
42
47
55
60
^7
72
80
86
92
P8
105
1 10
117
123
129
135
142
148
154
160
166
172
177
183
0#
Sig. I.
Logarith,
6 000791
6 000601
6 000406
6 000205
5 $'P9998
5 PP9786
5 999568
5 999344
5 9991 14
5 998878
5 998637
5 998390
5 998138
55997382
5 997620
5 997351
5 99707S
5 996800
5 996517
5 996229
5 995935
5 995637
5 995334
5 995026
5 994713
5 994396
5 994074
5 993747
5 993416
5 993081
5 992741
Sis. X.
rentia..
195
201
207
212
218
224
230
236
241
246
252
256
262
268
273
278
283
288
294
298
303
308
313
317
322
327
331
335
340
Sig. II.
LogArith.
99^-7^1
5 992397
5 992048
5 991696
5 991340
5 99091 9
5 990615
5 990247
5. 989875
5 989500
5 989122
5' 988739
5:988353
5I 987964
5 987572
5 9^7177
5 986779
5 986378
5 985975
5 985570
5 985161
5 984750
5 984336
5 983920
5 983502
5 983082
5 982660
5 982237
5 981812
) 981386
5 '980^57
Sig. IX.
Dtffe.
rentia.
344
349
352
356
360
364
368
372
375
378
383
386
389
392
S95
398
400
403
405
408
411
414
/\.i6
418
420
423
425
426
Dif \Gr.
LOGARIT HMl DISTJNTIARVM SATVRNl
A SO LE,
Anomdia. media Satami.
Gr.
Sig. III.
Logarith.
50P57
980528
980098
91966-]
919'i-l\
978801
978368
P77934
977499
976629
9.76194
975760
974892
97445P
974026
P73594
973163
972734
972306
971879
971454
971 03 1
970609
970189
rentia.
969772
969357
968945
968535
968128
Sfg.VlII.
4^9
430
431
432
433
433
434
435
43 5
435
435
434
434
434
433
433
432
431
429
428
426
425
423
422
420
417
414
412
410
407
Piff.
Sig. IV.
Logarub.
5 968128-
5 967724-
5 967323
5 966926
5 966532
5 9661^1
5 965754
5 965371
5 964992
5 964617
5 964247
5 963881
5 963520
5 963163
5 96281 1
5 962465
5 962123
5 961787
5 961456
5 961131
5 960812
5 960499
5 960191
5 959^90
5 95959$
5 959306
5 959025
5 958749
5 958481
5 958219
5 957965
remia.
Sig. VIL
404
401
397
394
391
387
383
379
375
370
366
361
3 57
351
346
341
336
330
325
319
313
307
301
295
288
2 Si
275
268
261
254
^'f
Sig. V.
Loganth.
5 957965
5 957718
5 957478
5 957245
5 957020
5 956803
5 956593
5 956391
5 956197
5 956010
5 955832
5 955662
5 955500
5 955347
5 955202
5 955065
5 954937
5 954817
5 954706
5 954604
5 954510
5 954425
5 954349
5 954282
,5 954224
5 954174
5 954134
5 954103
5 954080
5 954067
5 954062
Sig. VI.
Diffe.
reMia.
;3P •
247 .
240
29
233
225
^27
26
217
^25
210
202
24
194
23
■ 187
178
20
170
162
19
18
17
16
153
145
; 137
15
128
lio
14
13
III
12
102
11
94
10
85
76
9
8
67
58
7
6
50
5
40
31
22
4
3
2
13
I
4
0
Dif
Gr.
TJBVLJ LAT IT V D 1 N A R I A S A T V R N I.
Argu-
Sig. 0. Bor.
Subtr.
Sig. I. Bor.
Suhtr.
Sig. 2. 13or
Subtr.
ment.
Lati-
S\g.6. Aufl
Subtr.
Cur.
tat'io
Log.
0
0
Sig. 7. .*«/?.
Subtr.
Cw-
tat'io
103
no
Sig. 8. Auji
Subtr.
Cur-
tJtio
tudi-
nis.
o
I
Inclinatio
Redulf.
1 II
Indinatio
ReduB
hjclinatio
ReduB.
0 1 II
0 / //
1 /'
I 25
0 / //
I II
I 25
I 23
Log.
310
~6
30
29
000
0 0
0 4
I 15 4
2 10 2
0 2 37
I 17 19
I 26
2 n 20
2
0 5 14
0 8
I
I 19 33
I 27
116
2 12 35
121
322
28
=5
0 7 51
0 II
I
I 21 46
I 29
123
2 13 47
I 19
328
27
4
0 10 28
0 15
2
I 23 58
I 31
129
2 14 58
I 17
334
26
5
0 13 5
0 18
3
I 26 7
I 32
136
2 16 5
I 15
340
25
6
0 15 41
0 21
5
I 28 15
I 33
143
2 17 10
I 13
345
24
7
0 18 18
0 24
6
I 30 21
I 34
150
2 18 13
I II
350
23
8
0 20 53
0 27
8
I 32 26
I 35
157
2 19 13
I 9
355
22
P
0 23 29
0 31
10
I 34 29
I 35
164
2 20 II
I 6
360
21
lo
0 25 4
0 34
12
I 36 30
I 36
171
2 21 6
I 3
S65
20
II
0 28 39
0 37
15
I 38 30
I 36
178
2 21 59
I I
370
19
12
0 31 13
0 41
18
I 40 28
I 37
185
2 22 49
0 58
374
18
13
0 33 46
0 44
21
I 42 24
I 37
192
2 23 36
0 55
378
17
14
0 16 19
0 47
24
I 44 18
I 38
200
2 24 21
0 52
382
16
15
i6
0 38 51
0 49
0 52
28
32
I 46 10
I 38
207
214
2 25 3
0 49
0 47
386
389
15
14
0 41 23
I 48 0
I 38
2 25 42
I?
0 43 54
0 55
36
I 49 48
I 38
221
2 26 19
0 44
393
13
i8
0 46 24
0 58
40
I 51 35
I 37
228
2 26 53
0 41
396
1-2
19
0 48 53
I I
44
I 53 19
I 37
236
2 27 24
0 37
399
11
20
21
0 51 21
I 3
I 6
48
53
I 55 I
I 36
243
250
2 27 53
0 54
;o 31
401
403
10
9
0 53 48
I 56 41
I 36
2 28 19
22
0 56 14
I 9
5«
1 58 19
I 35
257
2 28 42
0 27
406
8
23
0 58 39
I II
63
I 59 55
I 35
264
2 29 3
0 2^
408
7
24
I I 4
I 13
68
2 I 29
I 34
271
2 29 21
0 21
409
6
25
2d
I 3 27
I 15
I 17
74
79
2 3 0
I 33
277
2 29 36
0 l!:
0 15
410
411
5
4
I 5 49
2 4 29
I 32
2 29 48
27
I 8 9
I 19
J^5
2 5 56
I 31
291
2 29 57
0 11
412
3
28
I 10 29
I 21
91
2 7 20
I 29
297
2 30 4
0 8
41 ^
2
25?
I 12 47
I 23
97
2 8 42
I 27
303
2 30 8
0 4
414
1
30
I 15 4
I 25
Adde.
103
2 10 2
I 25
310
2 30 10
0 0
Adde.
4x4
0
Sig. 1 1. ^«y?.
Sig.io..rf«/?.
Sig. 9- AuJl.
Sig. y. Bor.
Addt.
Sig. 4. B.r.
yf^^^.
1
Sig. 3. Bor. Adds.
Gr.
t
ff
SERIES OPPOSITIONVM SOLIS ET SJTVRNI
NOSTRA JETATE FACTARVM CVM
COMPVTO PRJECEDENTE COLLATA.
Oppofuioiiiim Tempora
aq^uata, Londini.
"vertis.
Amm. med.
Saturm.
Satur-nusHelh-
centricHs comp.
Error
Comp.
D. H. /
0 / //
S 0. / //
° 1 II
1 ij
1658 Man.2/\. I J 20
1659 Apr. 6 10 23
1660 Apr. 17 21 50
1 661 Apr. so 5 52
1 662 Mail 12 10 55
T
T
IT
14 35 51
26 47 37
8 40 56
20 21 46
I Ji 53
9 10 43 58
9 23 21 30
10 5 58 32
10 t8 3 5, 18
11 I II 47
ft 14 40 31
ft 26 50 9
T?l 8 43 -54
111 20 24 20
/ I 54 10
/ 13 16 29
/ 24 34 30
V? 5 51 22
V? 17 10 29
■W 28 35 0
-»-4 40
-t-2 32
H-2 5-8
-t^2 34
■+2 17
1663 Matt 24 13 28
1664 Jun. 4 15 16
1665 Jrm. 16 16 59
1666 "Jun. 28 19 44
1 667 Julii II 024
13 13 20
24 31 10
5 47 48
17 6 45
28 31 10
11 13 48 7
II 26 24 20
0 9 0 36
0 21 37 0
1 4 13 25
H-S 9
-1-3 20
+3 34
-^3 44
+3 50
1668 ']ulti 22 7 53
1669 Aug. S 19 ^3
1670 Aug. 16 II 16
1 67 1 Aug 29 858
1672 Sept. 10 12 6
10 3 56
21 48 36
3 48 12
16 5 49
28 41 47
I 16 50 6
1 29 27 9
2 12 4 34
2 24 42 30
3 7 20 51
i^ 10 8 15
^ 21 53 19
K 3 52 54
K 16 9 37
K 28 45 12
T II 40 45
T 24 56 21
« 8 30 50
y 22 21 51
H 6 25 40
H-4 19
-+-4 43
H-4 42
-t-3 48
~+3 25
1673 Sept. 23 20 46
1674 0^. 7 II 27
1675 0£f. '21 7 21
1676 Nov. 3 7 46
■1677 Nov. 17 II 27
ft
/
II 37 II
24 53 10
8 28 17
22 20 20
6 25 25
3 IP 59 41
4 2 38 58
4 15 18 44
4 27 58 54
5 10 39 18
■+3 34
H-3 II
-^2 33
+x 31
-fo 15
1678 Dec. I 16 47
ri679 Dec. 15 22 25
1680 Dec. 29 251
1682 Jaf^, 12 4 I
1683 5''^'^' 26 I 28
/
20 38 15
4 54 0
19 6 40
3 i> 45
17 0 30
5 23 19 52
6 6 0 25
6 18 40 54
7 I 21 8
7 14 I 0
5 20 37 33
S 4 52 3
S 19 3 35
a 3 ^ 45
a 16 57 8
—0 42
—I 57
—3 5
—3 0
— 3 22
16,84 Feh. 8 17 58
1685 Feb. 21 515
1686 Mart. 6 10 42
1687 fllart.19 II 12
1688 Mart.^i 6 14
K
T
T
0 34 35
13 50 30
26 46 20
9 24 20
21 .43 20
7 26 40 28
8 9 20 0
8 21 58 4
9 4 3^ II
9 17 14 0
1X|) 0 31 14
W 13 46 49
W 26 42 52
ft 9 19 26
ft 21 37 28
— 3 21
—3 41
-3 28
—4 54
—5 52
SERIES OPPOSITIONVM
50L/5 ET SATVRNl
NOSTRA yETJfE
FV C f:^ R z; M c t; M
COMPVTO
PRjECEDENTE COLLATA.
Oppcifitmaf» Tempora
Z,0(r;!«sy 5(j/^
Anpm. n^ed. ■
SAfurp{is$i§lk-
Error
aqaata Londini.
verm.
Sapurni.
centricHs mmp.
Comp.
D. H. /
0 / //
s
0 / //
0 / II
' II
i68p Jpr. 12 20 48
c5
3 46 20
9
29 51 12
ill 3 38 43
~1 37
1690 Jpr. 25 6 36
(5
15 33 15
10
12 28 5
T^l 15 25 16
—1 59
1 69 1 Mm 7 13 15
d
27 8 45
10
25 4 45
Til 26 59 56
—8 49
1692 Mail 18 17 16
il
8 34 50
11
7 41 II
/ 8 25 33
—9 17
1693 Mali 30 19 32
Ji
19 54 30
II
20 17 28
/ 19 45 II
—9 19
1694 Juf^. XT 21 8
S
I .11 10
0
2 53 40
A'? X 2 10
-9 0
1695 %»' 23 23 25
^
12 29 0
0
15 30 0
A'? 12 19 49
—9 II
1695 JuL 5 3 17
$P
25 51 0
0
28 6 22
"i^ 23 41 16
— 9 44
1697 Ja/. 17 9 21
^t
5 19 30
I
10 42 58
^. 5 9 55
—9 35
1698 ^Ta/. 29 18 48
a
x6 58 20
I
23 19 52
X^^ i5 48 55
—9 25
1699 Jug. n 8 28
a
28 JO 30
2
5 57 4
i^ 28 41 5
—9 25
1700 ^«^.23 .252
iii^
10 58 0
2
18 34 45
K 10 49 16
-8 44
1701 Sept^. 5 2 41
iii>
23 23 30
3
I 12 57
K 23 15 30
-80
1702 Sepf. 18 8 6
^
684
3
13 51 22
T 6 I 12
~6 52
1703 Oi?. I 18 59
^
19 12 0
3
26 30 24
T" 19 7 4
—4 56
1704 Oc?. 14 12 I
"i
2 37 0
4
9 9 53
c5 2 32 33
— 4 27
1705 OB. 28 9 9
"I
16 18 30
4
21 49 45
(5 16 15 48
— 2 42
1706 Nov. XX 10 2
/
0 14 15
5
4 29 5 5
U 0 13 48
— 0 27
1707 Nov. 2$ 13 42
-/^'
14 21 30
5
17 10 21
ir 14 22 18
-f 0 48
1708 Dec. 8 18 20
/
28 33;45
5
29 50 51
I ^8 36 8
-1-2 23
1709 Dec. 22 23 2
-v?
12 47 20
6
12 31 20
S 12 49 44
-1-2 24
171 1 5^^/?. 610
vv
2(5 53 20
6
25 II 36
G 26 57 29
-K4 9
1712 Jan. 20 0 18
iwl
10 50 25
1
7 51 37
a 10 54 36
-1-4 II
1713 FeL I 19 0
'wl
24 32 10
1
20 31 18
a 24 36 57
+4 47
1714 Feh. 15 8 15
H
7 55"35
8
3 10 29
Try 8 I 40
+6 5
17 1 5 Fd'^. 28 16 32
M
21 I 10
8
15 49 18
Tli^ 21 7 20
+6 10
17 1 6 Mart .12 19 6
r
3 47 0
8
28 27 36
^ 3 53 15
-4-6 15
1717 Marf.2^ x6 0
'V
16 13 15
9
II 5 27
^ 16 20 6
-^6 51
17 1 8 ^/'r. 7 8 26
■y
28 23 15
9
23 42 55
^ 28 29 14
+ 5 59
1719 ^/«r. 19 20 20
6
10 17 20
10
6 20 0
Til 10 22 36
-»-5 16
M 0 N I r U M.
HAbes itaque, Curiofe Aftrophile, in his Oppofitionum Solh & Pla-
netarum fuperiorum Seriebus, quafi Synopfin motuum per fex-
aginta Annos continues, prout in Ccelo vifi funt, defcriptorum,
quas ex obfervationibus quae fuppetebant accuratioribus, non mi-
nore cum fide quam diligentia concinnavimus. Vides etiam Tabulas has
noftras examini fat rigido fubjedlas ; Nee Te moveat quod in Jove femel
ad ofto minuta affurgat error ; in Saturm vero aliquando ad decern : Haud
aliter enim fieri potuit, abfq; aflumptis novis Hypothefibus nondum fatis
perfpeftis, & ad Cffilorum Lapidem Lydium probatis. Jupiter autem ab
Oppofitione Anni 1677 ad earn Anni 1689 revolutus, juxta indubitatas
obfervationes tardior inventus eft, quam in prascedente vel fubfequente re-
volutione, totis duodecim minutis primis. Saturni etiam periodus, intra
Annos 1668 & 1698 fafta, Hebdomade fere tota brevior erat media ejus
revolutione ; totidemq; fere Diebus medi^ longior erat altera periodus ab
Anno 1689 ad Annum 17x9 peraf^a ; ita ut inter durationes earum inter-
cedat differentia plufquam tredecim dierum. An vero hoc in fubfequen-
tibus eventurum fit Pofteris curae efto.
Hsec autem oriri a mutuis maximorum Planetarum in fe invicem a«3:io-
nibus, SoUs vires centripetas interturbantibus, plufquam probabile eft : Nee
levi argument© indicatur, quod cum Anno 1683 fafta fuerit Conjunftio
Jovis & Saturni^ in iis Orbium partibus ubi, ob fitum Apfidum, proxi-
me accedunt ad invicem Planetae, junQiB eorum Vires Saturmm verfus
Solem, e contra vero Jovem a Sole tum maxime urgebant ; quapropter Jupiter y
auda velocitate proprii, ac minuta vi Solis centripeta, in majorem excur-
rere debuit Orbem diuturniori periodo abfolvendum : Interea dum Satur-
fius^ minuta velocitate propria & majori vi verfus Solem preffus, in mino-
rem Orbem coaQus eflet, ac proinde breviori Tempore revolutus. Si baec
eadem repetitis vicibus Conjundlionem Jovis & Saturni in Leone confequan-
tur, merito fperandum eft errores quos in horum motibus deprehendimus,
utpote a trium tantum centrorum efficacia oriundi, ope Geometric Neutoni^
ana tandem tolli poffe. Sin minus, ac fi aliquando evenerint periodi lon-
giores ubi nunc breviflimi, & e contra, petenda erit caufa aliqua extrinfe-
cus agensj de qua nondum conftat. Sed de hac re plura alibi.
Tabula-
TABULARUM
ASTRONOMICARUM
PARS ALTERA
MOTUS PLANETARUM
SECUNDARIORUMj
S I V E
S A T E L L I T IJ M
JOFISScSATURNI
E X H I B ENS.
EPOCHM MEDIO RVM MOTWM QJPATVOr\
SAT ELLITVM J 0 F I S.
Annis
Jtili-
Vrimm
Secundm
Tertm
^artm
/ipfis
afth
inexm-
tibtis.
i66i
ab JEquinoB.,
ab MqtiivoQ.
ab Mquino[f.
ab MqinnoU.
Soy//
So///
So///
So///
0 /
5 21 45 0
II 14 35 0
II 12 8 20
8 24 13 0
4 24
62
9 15 13 40
8 26 23 0
II 18 4 29
7 7 40 20
5 0
6S
I 8 42 20
6 8 II 0
II 24 0 38
5 21 7 40
5 36
64
5 211 0
3 19 59 0
II 29 56 48
4 4 35 0
6 12
1655
1666
3 19 9 0
4 13 9 30
I 26 12 0
3 9 3^ 36
6 48
7 12 37 40
I 24 57 30
2289
I 23 3 56
7 24
(>!
II 6 6 20
II 6 45 30
2 8 4 18
0 6 31 16
8 0
68
2 29 35 0
8 18 33 30
2 14 0 28
10 19 58 36
8 36
69
J 16 33 0
9 II 44 0
4 10 15 40
9 25 0 12
9 12
1670
1671
5 10 I 40
6 23 32 0
4 16 II 49
8 8 27 32
9 48
9 3 30 20
'4 5 20 0
4 22 7 58
6 21 54 52
10 24
• 72
0 26 59 0
I 17 8 0
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EPOCHS MEDIORVM MOTVVM
SJTELLITVM J 0 F I S.
!
1
tit Vrimm
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B P 0 C H jE medio
RVM M 0 r V V M
SATELLITVM J 0 F I S.
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JuU-
Frimus
Secmdm
Tenim
partus
/Iplis
§umi
ants
ineun
tihis.
1731
ab MqimtoEi.
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s
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1750
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To 12
1755
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8
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9 28 37 48
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3 19 21 0
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MED 11 MOT VS SATELLITVM J 0 V I S
JD DIES MENS IS
J
A N U A R I I-
Dh
Men-.
I
2
3
, 4
5
6
7
8
9
lO
II
12
: 13
14
15
16
■ 17
18
19
20
21
22
23
24
2 5
26
27
28
, 29
30
- 3^
Prinii
Secundi
T««'
^arti
Metus
Apfts \
Quarti.
So///
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5 0 / /y
so, //.:
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6 23 29 20
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3 3 57 21
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ri 22 13 24
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d 5 43 2
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0 d 42 32
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8 22 37 7
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3
MED I J MO T V 3 SJTELLITVM j 0 V I S
JDDIESMENSIS
F E B R U A R I I. 1
Di»
Me»-
I
2
3
4
5
d
I
9
lO
II
12
13
.15
Id
17
18
19
,20
21
22
23
24-
.25
26
27
28
Trivii
Secundi
Ten it
^arti
Moms
Apfts
■ Quarti.
So/ 11
s 0- y //
So 1 II
S 0 / /1
Mm.
1 I 38 50
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3 15 22 d
d 2d 44 35
10 8 7 4
1 19 29 33
5 20 9 51
7 10 28 54
9 0 47 58
10 21 7 I
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0 13 25 4
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7 9 33 33
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4
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. In Anm Bii&xtili poji FebrLiarium^^//^ mius
Diet Motim,
MEDII MOTVS S AT E L L IT V M JO VI S
JD DIES MENS! S
M A R T I L
Die
Men-
Jis.
I
2
3
4
5
6
7
8
9
i6
II
12
13
14
15
.16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
Primi
Seciindi
Tertii
^arti
Motus
Affis
Quarti.
S 0 / //
S a 1 il
So 1 Jl
So///
10 29 20 20
5 22 49 40
0 16 19 0
7 9 48 21
2 3 17 41
10 22 29 16
2 3 51 45
5 15 14 14
8 26 36 44
0 7 59 13
ff 19 3 27
6 9 22 30
7 29 41 34
9 20 0 37
II 10 19 41
7 4 16 0
7 25 50 16
8 17 24 32
9 8 58 48
10 0 33 4
6
8 26 47 I
3 20 16 22
10 13 45 42
5 7 15 2
0 0 44 23
3 19 21 42
7 0 44 12
10 12 6 41
I 23 29 10
5 4 51 39
1 0 38 44
2 20 57 47
4 II i5 51
6 I 35 54
7 21 54 58
10 22 7 20
11 13 41 36
0 5 15 52
0 2(5 50 8
1 18 24 24
6 24 13 43
I 17 43 3
8 II 12 24
3 4 4^ 44
9 28 II 4
8 16 14 8
II 27 36 38
3 8 59 7
6 20 21 36
10 I 44 5
9 12 14 I
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0 22 52 8
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4 3 30 15
2 9 58 40
3 I 32 56
3 23 7 12
4 14 41 28
5 6 15 44
7
4 21 40 25
11 15 9 45
6 8 39 5
I 2 8 26
7 25 37 46
1 13 6 35
4 24 29 4
8 5 51 33
II 17 14 2
2 28 36 32
5 23 49 19
7 14 8 23
9 4 27 26
10 24 46 29
0 15 5 33
5 27 50 0
6 19 24 16
7 10 58 32
8 2 32 48
8 24 7 4
2 19 7 ^
9 12 56 27
4 6 5 47
10 29 35 7
5 23 4 28
6 9 59 I
9 21 21 30
I 2 43 59
4 14 6 29
7 25 28 58
2 5 24 36
3 25 43 39
5 16 2 43
7 (5 2 1 46
8 26 40 50
9 15 41 20
10 7 15 36
10 28 49 52
11 20 24 8
0 II 58 24
■ 8
0 16 33 48
7 10 3 8
2 3.32 29
8 27 I 49
3 20 31 9
II 6 5 1 27
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5 29 ^6 26
9 10 58 55
0 22 21 24
10 \6 59 53
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1 27 38 0
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1 25 6 56
2 16 41 12
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10 14 0 30
4 3 43 54
6 28 35 II
4 21 24 0
MED 1 1 MOTVS SAT ELLITVM JO VIS
AD D I ES MENS /5
A P R I L I S.
Die
Men-
fis.
Trimi
Secundi
Tenii
^arti
Motus
Apfidis
Quarti.
s
0 / //
so,//
So/ 1/
So///
Min.
5
7 29 50
7 15 6 23
8 18 54 14
5 12 58 Id
2
0
0 jp 10
10 26 28 52
10 9 13 18
d 4 32 32
9
3
5
24 28 31
2 7 51 21
II 29 32 21
d 2d d 48
4
I
17 57 51
5 19 13 51
1 19 51 24
7 17 41 4
5
8
II 27 II
p 0 36 20
3 10 10 28
8 9 15 20
6
3
4 5^ 32
0 II 58 49
5 0 29 31
9 0 49 3d
7
9
28 25 52
3 23 21 18
d 20 48 35
9 22 23 52
8
4
21 55 12
7 4 43 47
811 7 38
10 13 58 8
9
II
15 24 33
10 16 6 17
10 I 2d 42
II 5 32 24
lo
II
6
8 53 n
I 27 28 46
II 21 45 45
II 27 d 40
I
2 23 13
5 8 51 15
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12
7
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I 10 15 12
10
13
2
19 21 54
0 I 35 14
4 22 42 55
2 I 49 28
H
P
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15
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4
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10
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I?
5
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i8
0
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4 28 28 40
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19
7
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20
21
2
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8
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22
3
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6 13 58 37
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II
23
10
14 15 17
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9 15 53 30
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24
5
7 44 38
I 6 43 55
II d 12 33
9 29 d 24
25
26
0
1 13 58
4 18 d J
0 2d 31 37
10 20 40 40
6
24 43 18
7 29 28 34
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II 12 14 5d
27
I
18 12 39
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28
8
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2 22 13 33
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0 25 23 28
25?
3
5 II I5>
d 3 3d 2
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30
9
28 40 40
9 14 58 31
9 8 d 54
2 8 32 0
C c c c
MED II MOTVS &JTELL1TVM JOVI&l
A D D I ES ME NS IS |
MAIL
Die
Men-
jU.
I
Frimi
So///
Secundi
I>r/-/i
^arti
Quartk
So/,,
So 11/
S 0 J //
Mw.
4 22 10 0
0 26 21 0
10 28 25 57
3 0 6 16
i 2
II 15 39 20
4 7 43 30
0 18 45 0
5 21 40 32
12
\ 3
6 9 8 41
7 19 5 59
2944
4 13 14 48
• 4
I 2 38 I
II 0 28 28
3 29 23 8
5 4 45 4
: 5
6
7 26 7 21
2 II 50 57
5 19 42 11
5 26 23 20
2 19 36 42
5 23 13 27
7 10 I 15
6 17 57 36
' 7
9 13 6 2
9 4 35 56
9 0 20 18
7 9 31 52
8
4 6 35 22
0 15 58 25
10 20 39 22
8 I d 8
9
II 0 4 43
3 27 20 54
0 10 58 25
8 22 40 24
lO
II
5 23 34 3
7 8 43 24
2 I 17 29
9 14 14 40
0 17 3 23
10 20 5 53
3 21 ^6 32
10 5 48 56
12
7 10 32 44
2 I 28 22
5 II 55 36
10 27 23 12
13
M
2424
5 12 50 52
7 a 14 39
II 18 57 28
H
8 27 31 24
8 24 13 21
8 22 33 42
0 10 3.1 44
15
i6
3 21 0 45
0 5 35 50
10 12 52 46
1260
10 14 30 5
3 16 58 19
0 3 II 49
I 23 40 16
I?
5 7 59 25
6 28 20 49
I 23 30 52
2 15 14 32
i8
0 I 28 46
10 9 43 18
3 13 49 56
3 6 48 48
19
6 24 58 6
I 21 5 47
5 4 P 0
3 28 23 4
20
, 21
I 18 27 26
5 2 28 16
6 24 28 3
4 19 57 20
8 II 56 47
8 13 50 46
8 14 47 7
5 II 31 36
22
3 5 26 7
II 25 13 15
10 5 6 10
5 3 5 52
14
2^
9 28 55 27
3 6 35 44
II 25 2J 14
(5 24 40 8
24
4 22 24 48
6 17 58 13
I 15 44 17
7 16 14 24
2;
26
II 15 54 8
9 29 20 43
3 6 3 21
8 7 48 40
6 9 23 28
I 10 43 12
4 26 22 24
8 29 22 56
27
I 2 52 49
4 22 5 41
6 Id 41 28
9 20 57 12
28
7 26 22 9
8 3 28 II
8 7 0 31
10 12 31 28
29
2 19 51 29
II 14 50 40
9 27, 19 35
II 4 5 44
3°
31
9 13 20 50
4 6 50 10
2 26 13 9
II 17 38 38
II 25 40 0
6 7 35 38
I 7 57 41
0 17 14 16
,
ME D I I M 0 T V S SAIELLITVM J 0 F I S
AD m IE S M E N S IS
J U N I I.
Die
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MEBIJ MOTVS SJTELLITVM JOVJS
A D D lES M E N S I S
J U L I I.
Die'
Men-
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18
3
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20
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20
23
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25
26
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I ME DI I MOT V S SATELLITVM J 0 F I S
AD DIESMENSIS
AUG U S T I.
Die
Mm-
Prmr
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20
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MED II MOTVS SJTELLITVM ^OVIS
J D D i ES M E N S I S
S E P T E M B R I S.
Die
Primi
Secundi
Tenii
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Motm
Jipjtdis
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Qumi.
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S 0 / //'
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18
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7 13 13 4
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20
21
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9 3 32 7
9 3 12 8
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25
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27
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ME D II MOTV S SATELLITVM J OV 1 S
JDDIESMENSIS
O C T O B R I S.
m
Min-
1
3
4
5
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Secundi
Tertii
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10 15 58 50
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8
0
3
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3
5
5
8
10
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27 39 53
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6
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1
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4
5
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ME D I I MO r V S SATELLlTVMJOf^lS
AD DIESMENSIS
NOVEMBRIS.
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Secundi
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^artt
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Quarti.
S . 0 1 II
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S 0 f /1
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I
2
3
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5
6
7
8
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13
14
15
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17
18
19
20
21
22
23
24
25
26
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29
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4 24 8 20
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30
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MED II MO TVS SJTELLITVMJOFIS
AD DIES M E N S I S
D E C E M B R
I 5.
Die.
Men-
fs.
I
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Secimdi
Tertii
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s 0 , n
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3
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36
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MED II MOTVSS AT E L L I T V M J 0 F i S
IN A N N 0 RV M C E N T V R 1 1 S.
Amis
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Sis.
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200
300
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In centum mtem Amis frogreditur Ap/is Quarti duo Slgm.
IN BORIS.
H.
I
2
3
4
5
6
7
8
9
10
II
12
13
14
15
16
17
18
19
20
21
22
23
24
5 0 / //
5 0 / //
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IN M I NVT I S HO R A R I IS.
II
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Primi
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0 59 21
0 29 34
0 14 41
6 18
37
5 13 43
2 36 17
I 17 35
33 15
8
I 7 50
0 33 47
0 16 46
7 II
38
5 22 II
2 40 31
I 19 40
34 9
9
I i6 18
0 38 I
0 18 52
8 5
39
5 30 4°
2 44 44
I 21 45
35 3
lO
11
I 2447
0 42 14
0 20 58
8 59
40
41
5 39 9
2 48 57
1.23 52
35 57
I 33 16
0 46 28
0 23 4
9 53
5 47 38
2 53 II
I 25 58
35 51
12
141 45
0 50 41
0 25 10
1047
42
5 56 6
2 57 24
I 28 4
37 45
13
I 50 13
0 54 55
0 27 15
II 41
43
6 435
3 I 38
I 30 9
38 39
H
I 58 42
0 59 8
0 29 21
12 35
44
6 13 4
3 5 51
I 32 15
39 33
15
i6
2 7 II
I 3 22
0 31 27
13 29
45
46
6 21 32
6 30 I
3 10 5
I 3421
4027
2 15 40
I 7 35
0 33 33
1423
3 14 18
I 3627
41 21
I?
2 24 8
I II 48
0 35 39
15 17
47
6 38 30
3 18 32
I 3833
4215
i8
2 32 37
T 16 2
0 37 44
1(5 II
48
545 59
3 22 45
I 40 38
43 9
19
2 41 6
I 20 15
0 39 50
17 5
49
d 55 27
3 25 59
I 4244
44 2
20
21
2 49 34
I 24 29
0 41 56
17 59
50
51
7 3 56
7 12 25
3 31 12
3 35 25
I 44 50
44 55
2 58 3
I 28 42
044 2
18 52
I 45 56
45 50
22
.3 632
1 32 56
046 7
1946
52
7 20 54
3 39 39
I 49 2
4644
2 3.
3 15 1
i 37 9
04813
20 40
53
7 29 22
3 43 52
I 51' 7
4738
24
32329
I 41 22
0 5:0 19
21 34
54
7 37 51
348 6
I 53 13
48 32
25
3 31 58
I 45 36
0 52 25
22 28
55
7 46 20
3 52 19
I 55 19
49 25
26
3 40 27
I 49 49
0 5431
23 22
56
7 5448
3 5^32
I 57 25
50 20
27
34855
I 54 3
0 56 37
24 16
57
8 3 17
4 0 46
I 59 3 1
51 14
28
3 57 H
I 58 16
0 58 42
25 10
58
8 II 46
4 4 59
2 I 35
52 8
29
4 5 53
2 2 30
I 0 4b
26 4
59
8 20 15
4 9 13
2 3 42
53 2
30
4 14 22
2 643
I 2 54
25 58
do
8 28 43
413 26
2 548
53 56
TJBVLJTEMPORIS MEDIO PRIMI SATELLITIS
^ JOVE MOTVI CO NGRVENTIS.
Sig. 0.
Sig. I.
Sig. 11.
Sig. III.
Sig. IV.
Sig. V,
//
/ // ///
1
// ///
/ // ///
o.
H / //
0.
H- 1 u
a. 1 II ^
H. / - //
H-. / //
H. / //
O
000
30
3 32 23
7 4 46
10 37 9
14 9 32
n 41 55
I
0 7 5
31
3 39 2b
7 II 51
10 44 14
14 16 37
17 49 0
. 2
0 14 10
32
3 46 33
7 18 56
10 51 I9r
14 23 42
17 5^ 5
^
0 21 14
33
3 53 37
7 26 0
10 58 23,
14 30 46 18 3 9|
4
0 28 19,
34
4 0 42
7 33 5
II 5 28
14 37 51
18 10 14
5
6
0 35 34
35
3^
4 7 47
4 14 52
7 40 10
7 47 15
II 12 33
14 44 ,56
18 17 19
0 42 29
II 19 38
14 52 I
18 24 24
7
0 49 3 3
37
4 21 56
7 54 19
II 26 42
14 59 5
18 31 28
8
0 56 38
38
4 29 I
8 I 24
II 33 47
15 6 10
18 38 33
9
I 3 43
39
4 36 6
8 8 29
II 40 52
15 13 15
18 45 38
lO
I 10 48
40
4 43 II
8 15 34
II 47 57
15 20 20
18 52 43
II
I 17 52
41
4 50 15
8 22 38
II 55 I
15 27 24
18 59 47
12
I 24 57
42
4 57 20
8 29 45
1226
15 34 29
19 d 52
13
I 32 2
43
5 4 25
8 36 48
12 9 II
15 41 34
19 13 57
^4
I 39 7
44
5 II 30
8 43 5 3
12 16 16
15 48 39
19 21 2
15
16
I 46 12
45
46
5 18 35
8 50 58
12 23 21
15 55 44
19 28 7
I 53 16
5 25 39
8 58 2
12 30 25
\6 2 48
19 35 II
17
2 0 21
47
5 32 44
9 5 7
12 37 30
16 9 53
19 42 Id
18
2 7 26
4«
5 39 49
9 12 12
12 44 35
16 16 58
19 49 21
19
2 14 31
49
5 4^ 54
9 19 17
12 51 40
16 24 3
19 5d 2d
20
2 21 35
50
5 53 58
9 26 21
12 58 44
Id 31 7
20 3 30
21
2 28 40
51
e I 3
9 33 2.
13 5 49
Id 38 12
20 10 35
22
2 35 45
52
6 8 8
9 40 3^
13 12 54
Id 45 17
20 17 40
23
2 42 50
53
6 15 13
9 47 3^
13 19 59
Id 52 22
20 24 45
24
2 49 54
54
6 22 17
9 54 4^
13 27 3
Id 59 2d
20 31 49
25
2 5^ 55
55
6 29 22
10 I 45
13 34 8
17 ^ 31
20 58 54
26
3 4 4
5^
6 3d 27
10 8 5c
13 41 13
17 13 30
20 45 59
27
5 II 9
57
6 43 32
10 15 55
13 48 18
17 20 41
2D 53 4
28
3 18 13
5fc
5 50 36
10 22 59
13 55 22
17 27 45
2108
7.9
3 25 18
■;i
6 57 41
10 30 4
14 2 27
17 34 50
21 7 13
3^
3 32 23 l^c
) 7 4 46
10 37 9
14 9 32
n 41 55
21 14 18
TABVLA TEMPORIS MEDIIS SATELLITVM
SECVNDI, TERTII ET Q^VARTl
MOT IBV S a JOVE CONGRVENTIS.
Secandi
Jl
II III
1
1 II III
o.
H ) II
O
000
I
0 14 13
2
0 28 26
3
0 42 19
4
0 56 52
5
I II 5
6
I 25 iS
7
I 39 31
8
I 53 44
9
2 7 57
10
2 22 10
II
2 36 23
12
2 50 36
13
3 4 49
14
3 19 2
15
3 33 15
16
3 47 28
17
4 I 41
18
4 15 54
IP
4 30 7
20
4 44 20
21
4 58 33
22
5 12 46
23
5 26 5P
24
5 41 12
25
5 55 25
26
6 9 3-
27
6 23 51
28
6 38 4
29 6 52 17I
3°
7 <5 301
Tertu
II
III
1
II
///
H.
1
//
0
0
0
o 28 40
0 57 20
1 26 o
1 54 40
2 23 20
2 52 o
3 20 40
3 49 19
4 17 59
4 46 39
5 15 19
5 43 59
6 12 39
d 41 ip
7 9 59
7 38 39
8 7 19
8 35 59
9 4 39
9 33 19
10 I 59
10 30 39
10 59 18
11 27 58
II 56 38
12 25 18
12 53 58
1.3 22 38
13 51 18
14 19 58
Quarti
—
II III
II
1 II
///
1
a. ,
//
0.
0 0
0
30
31
I 7
I
2 14
2
32
3 21
3
33
4 28
3
34
5 35
4
35
76
6 42
5
7 49
6
M
8 56
7
38
10 3
8
39
II 10
8
40
12 17
9
41
13 24
10
42
14 31
II
43
15 38
12
44
\6 45
13
45
46
17 52
13
18 59
14
47
20 .6
15
48
21 13
16
49
22 20
17
50
51
23 27
18
24 34
18
52
25 41
19
53
25 48
20
54
27 55
21
55
29 2
22
56
30 9
23
57
31 i5
23
58
32 23
24
59
33 30
25
60
Secundi
II III
1 II III
U. 1 II
7 5 30
7 20 43
7 34 56
7 49 9
8 3 22
8 17 35
8 31 48
8 45 I
9 0 14
9 14 27
9 28 40
9 42 53
9 57 6
10 II 19
10 25 31
10 39 44
10 53 57
II 8 10
II 22 23
II 35 36
II 50 49
12 5 2
12 19 15
12 33 28
12 47 41
Tertii
1,
Ill
1
I,
III
H.
1
14 19 5:8
14.48 38
15 17 18
15 45 58
i6 14 38
16 43 18
17 II 58
17 40 38
18 9 17
18 37 57
19 6 37
19 35 17
20 3 57
20 32 57
21. I 17
21 29 57
21 50 37
22 27 17
22 'y% 57
23 24 37
23 53 17
13 i5 7
13 30 20
13 44 33
13 58 46
14 12 59
24 21 57
24 50 37
25 19 16
25 47 56
26 i5 35
26 45 16
27 13 56
27 42 16
28 II \6
28 39 56
Quarti
33 30 25
34 37 2(5
35 44 27
35 51 28
37 58 28
39 5 29
40 12 30
41 19 31
42 2-5 32
43 33 33
44 40 33
47 34
54 3 5
I 36
8 37
i_5 38
2238
29 39
36 40
43 41
50 42
57 43
4 43
II 44
18 45
25 4^
32 47
39 48
45 48'
'^3 49
o 50J
F f f f
SEMIDVRATIONES ECLIPSIVM SATELLITVM
J 0 F I S.
Jovis a Nodo Satellitmi Difiantia, \
Sig. O. VI.
Sig. I. VII. 1
Sig. 11. VIII.
Gr.
o
I
Sat. Primi
Secundi
Primi
Secundi
Primi
Secundi
Gf.
30
29
H. J //
H. / II
H. / //
H. / //
H- 1 II
H. 1 //
I 8 30
I 8 29
I 27 0
I 7 24
I 24 25
I 5 9
I 18 53
I 25 59
I 7 20
I 24 15
I 5 5
r 18 43
I 8 29
I 25 59
X 7 15
I 24 5
I 5 I
I 18 33
28
3
I 8 28
I 26 58
X 7 II
I 23 55
I 4 57
I x8 23
27
4
I 8 28
I 25 57
X 7 7
I 23 44
I 4 53
I 18 14
26
5
6
I 8 27
I 25 56
I 7 3
I 23 34
I 4 49
X 18 5
25
24
I 8 27
I 25 54
I 6 59
I 23 23
X 4 46
X 17 55
7
I 8 26
X 25 52
I 5 55
I 23 12
I 4 42
I 17 47
n
8
I 825
I 25 49
I 5 50
I 23 0
I 4 39
I 17 38
22
9
I 8 24
I 25 46
I 5 45
I 22 49
I 4 35
X 17 30
21
lo
I 8 22
I 25 43
I 5 41
I 22 38
I 4 32
I 17 22
20
II
I 8 21
I 25 40
I 5 35
I 22 27
I 4 29
I 17 14
19
12
I 8 19
I 25 36
I 6 31
I 22 i5
I 4 25
I 17 5
18
13
1 8 17
I 25 31
I 5 26
I 22 5
I 4 23
I l5 59
17
14
I 8 15
X 25 26
X 5 21
I 21 53
I 4 20
I i5 53
16
15
I 8 13
X 25 20
I 5 i5
I 2X 42
I 4 17
X l5 47
15
16
I 8 II
I 25 X4
I 5 12
I 21 30
I 4 15
I l5 41
14
17
I 8 8
I 25 8
X 6 7
I 21 19
I 4 12
I 16 36
13
tS
I 8 5
I 25 2
I 6 3
I 21 7 -
I 4 10
I x5 31
12
19
.183
I 25 56
I 5 58
I 2Q 56
I 4 8
I l5 25
11
20
180
I 25 49
X 5 54
X 20 44
X 4 7
I i5 22
xo
21
1 7 57
I 25 42
I 5 49
X 20 33
146
I l5 18
9
22
I 7 54
I 25 34
I 5 45
X 20 21
I 4 5
I i5 14
8
23
I 7 51
X 25 26
I 5 40
X 20 10
I 4 4
X i5 11
7
24
25
I 7 47
I 25 19
1 5 35
X 19 58
I 4 3
I i5 8
5
I 7 44
I 25 II
I 5 30
I 19 47
I 4 3
I x5 5
5
26
I 7 41
I 25 2
X 5 26
I 19 36
I 4 2
I i5 3
4
27
I 7 37
I 24 53
I 5 21
I 19 25
I 4 2
I i5 2
3
28
I 7 53
X 24 44
I 5 17
I 19 14
X 4 I
I i5 I
2
29
I 7 29
I 24 35
I 5 13
I 19 3
I 4 0
I .i5 0
I
^c
I 7 24 I 24 25
I 5 9
I 18 53
I 4 0
I i5 0
0
1 Sig. XI. V.
Sig,X IV
Sig. IX. III. 1
SEMIDVRATIONES ECLIPSIVM SJTELLITVm\
JOVIS, \
Jovis a Nodo Satellitum Diftantia
Sig. o.
VI.
Sig. I. VII.
Sig. 11. VIII.
Gr,
Sat. Tertii
Qami
Tertit
Quarti
Tertii
Gr.
H. 1 //
"■ 1 1,
W- ; //
H. , II
o
I 48 0
2 23 0
I 39 I
I 50 41
I 18 0
30
1
I 47 '>9
2 22 56
I 38 26
I 48 25
I 17 17
29
2
I 47 57
2 22 49
I 37 51
I 46 2
I Id 35
28
3
I 47 53
2 22 38
I 37 15
I 43 33
I 15 53
27
4
I 47 49
2 22 24
I 36 38
I 40 58
I 15 12
2d
5
I 47 43
2 22 5
I 3d 0
I 38 17
I 14 31
25
6
I 47 37
2 21 42
I 35 22
I 35 30
I 13 52
24
7
I 47 29
2 21 15
I 34 43
I 32 36
I 13. 14
23
8
I 47 20
2 20 44
I 34 3
I 29 34
I 12 36
22
, 9
I 47 9
2 20 8
I 33 22
I 2d 24
I II 59
21
lo
11
I 4^ 57
2 19 28
I 32 41
I 23 5
I II 23
20
19
I 46 44
2 18 44
I 31 59
1 19 37
I 10 48
12
I 46 30
2 17 55
I 31 r7
I 15 58
I 10 15
18
13
I 46 14
2 17 2
I 30 35
I 12 8
1 9 44
17
14
I 45 58
2 16 5
I 29 52
I 8 4
I 9 14
Id
15
I 45 40
2 15 4
I 29 8
I 3 43
I 845
15
16
I 45 22
2 13 58
I 28 24
0 59 4
I 8 18
14
17
I 45 2
2 12 48
I 27 40
0 54 0
I 7 52
13
18
I 44 41
2 II 34
I 25 55
0 48 2d
I 7 28
12
19
I 44 18
2 10 15
I 26 10
0 42 12
I 7 5
II
20
21
I 43 55
2 8 52
2725
I 25 25
0 34 53
0 25 36
I d 44
10
9
I 43 30
I 24 40
I d 25
22.
I 43 4
2 5 53
I 23 56
0 9 47
I d 8
8
23
I 42 37
2 4 16
I 23 II
Q 0 0
I 5 53
7
24
I 42 9
2 2 34
I 22 26
I 5 40
d
25
26
I 41 40
2 0 48
I 21 41
I 5^8
5
4
I 41 10
I 58 56
I 20 56
I 5 18
27
1 40 39
I 57 0
I 20 12
I 5 10
3
28
I 40 8
I 54 59
I 19 28
I 5 5
2
29
I 39 35
I 52 52
I 18 44
I 5 2
I
30
I 39 I
■I 50 41
I 18 0
I 5 0
0
Sig. XL
V.
Sig. X. IV.
Sig. IX. III.
MQ^VJTIONES LV MI N IS
ADDENDA.
Soils h Loco Jovis Heliocentrm Diftantia.
Gr.
Sig. 0.
I.
II.
III.
IV.
V.
Gr.
/ II
/ //
/ //
/ //
/ //
/ //
o
0 0
13 12
10 59
7 41
4 5
I 8
30
I
14 0
13 9
10 53
7 34
3 58
I 4
29
2
13 59
13 6
10 47
7 27
3 51
I 0
28
3
13 59
13 3
10 41
7 20
3 44
0 56
27
4
13 59
13 0
10 35
7 13
3 37
0 52
26
5
6
13 58
13 58
12 56
10 29
7 5
3 31
0; 48
25
24
12 52
10 23
6 58
3 24
0 44
7
i3 57
12 48
10 17
6 51
3 17
0 40
23
8
13 56
12 44
10 1 1
6 44
3 10
0 37
22
9
13 55
12 40
10 4
6 36
3 3
0 34
21
lo
II
13 54
12 36
9 57
6 28
2 57
0 31
20
19
13 53
12 32
9 51
6 20
2 50
0 28
12
13 52
12 28
9 45
(5 13
2 44
0 25
18
13
13 51
12 24
9 39
6 6
2 38
0 22
17
14
13 50
12 20
9 32
5 59
2 32
0 19
16
15
16
13 48
12 15
9 25
9 19
5 52
2 26
0 17
15
14
13 46
12 II
5 44
2 20
0 15
17
13 44
12 6
9 13
5 37
2 14
0 13
13
18
13 42
12 I
9 6
5 30
2 8
0 II
12
19
13 40
II 56
8 59
5 23
2 3
0 9
II
20
21
13 38
II 51
8 52
5 16
I 58
0 7
10
9
13 37
II 46
8 45
5 8
I 52
0 6
22
13 35
II 41
8 38
5 1
I 47
0 5
8
23
13 33
II 36
8 31
4 54
I 42
0 4
7
24
13 30
II 31
8 24
4 47
I 37
0 3
d
25
26
13 27
13 24
II 26
8 17
4 40
I 32
0 2
5
4
II 21
8 10
4 33
I 27
0 2
27
13 21
II 16
8 3
4 26
I 22
0 I
3
28
13 18
II II
7 56
4 19
I 17
0 I
2
2p
13 15
II 5
7 49
4 12
I 12
0 0
I
30
13 22
10 $9
_7__4f
IX.
4 5
T 8
VII.
0 0
0
1 Sig. XI.
X.
vni.
VI.
tEQvationvm]
jL7
) MINIS
lECTIONES.
Helio.
Corre-
Bioties
Mden-
Locus
Jovis
Helio-
cetitri-
d&.
centri-
CllS.
cus.
S 0
1 II,
6 0
S 0
0 10
0 10
0 20
0 2
0 0
I 0
0 6
II 20
I 10
0 13
II 10
I 20
0 23
II 0
2 0
0 35
10 20
2 10
0 49
10 10
2 20
I 5
10 0
3 0
I 22
9 20
3 10
I 40
9 10
■ 3 20
I 58
9 0
4 0
2 17
8 20
4 10
2 34
8 10
4 20
2 50
8 0
5 0
3 4
7 20
5 10
3 15
7 10
5 20
3 24
7 °
6 0
3 29
6 20
6 10
3 30
6 10
Quomam Experimento con--
flat ferius accidere Satellitum
EcUpfes, quo ?najor eft Jovis
diftantia a Terra, ac proinde
Lucem non niji motu progref-
Jivo pYopogari; itaq; Tabel-^
lam ham Correftionis JE-
quationum Luminis adje^
cimus, e qua augmenta earum
ah Eccentricitate Planeta or-
ta capienda funt.
Difttintm afparentes Satelliium a Centto Jovis in SemUiametris J.ovis
& Semidiametri Centefimis.
SAtellitum a Loco Jcvts Geocentrko Diflantice,
Sig. O. Or. VI. Occ.
Sig. I. Or. VII. Occ.
Sig. II. Or. VIII. Occ. 1
Diftantia Satellius.
Diftantia SateU
itis.
Diftantia SateUitis.
Gt.
o
I.
Semid
ir.
Semid
III.
IV.
I.
Semid
II.
Semid
III.
IV.
I.
Semid.
11.
Semid
III.
IV.
Gr
Semid'
Semid.
Semid
Semid.
Semid.
0, 0
0, 0
0, 0
0, 0
2,95
4^,7°
7,50
13,19
5,12
8,14
12 99
22,85
30
I
0,10
0,16
0,26
0,46
3,04
4,84
7,73
13,59
5,17
8,22
13,12
23,07
^9
2
0,21
0)33
C,J2
0,92
5,13
4,9«
7,95
13,98
5,22
8,30
13,24
23,29
28
^
0,31
0,49
0,78
1,38
3,2 2
5,12
8,17
14,37
5,27
8,38
13,36
23,11
27
4
0,41
0,66
1,05
1,84
3,30
5,26
«,39
M,75
5,31
«,45
13,48
23,71
16
5
6
0,51
0,82
^,31
2,30
3,39
5,39
8,60
i5,T3
5,36
8,52
13,59
23,91
25
0,62
0,98
1,57
2,76
3,47
5,53
8,82
15,51
5,40
8,59
13,70
24,10
24
7
0,72
1,14
1,83
3,2 2
3,56
5,66
9,03
15,88
5,44
8,66
13.81
24,28
23
8
0,«2
1)31
2,09
3,67
3,64
5,79
9,24
16,24
5,4«
8,72
13,91
24,46
9
0,92
1,47
2,34
4,M
3,72
5,92
9,44
16,60
5,52
«,7«
14,00
24,63
21
lO
II
1,03
i>i3
1,63
i,7P
2,60
2,86
4,5«
3,80
6,04
9,64
16,96
5,55
8,84
14,10
24,79
20
5,03
3,87
6,17
9,84
17,31
5,59
8,89
14,18
24,95
19
12
1,23
i>95
3,11
5,4«
3,95
6,29
10,04
17,65
5,62
«,94
14,27
25,09
18
13
i>33
2,12
3,37
5,93
4,03
6,41
10,23
17,99
5,65
^.99
14,34
25,23
n
H
1,43
2,27
3,63
6,38
4,10
6,5 3
IC,42
x«,32
5,68
9,04
14,42
25,36
16
15
\6
1,53
2,43
3,«^
6,83
4,18
6,65
10,61
18,65
5,71
5,73
9,08
9,12
14,49
25,48
15
1,63
2,59
4,^3
7.27
4,25
6,76
10,79
18,98
14,56
25,60
H
I?
i»73
2,75
4,3!^
7,71
4,32
6,88
10,98
19,30
5,76
9,16
14,62
25,71
M
i8
1,83
2,91
4,-5 3
8,15
4,39
6,99
11,15
19,61
5,7«
9,20
14,67
25,81
12
IP
1,92
3,06
4,88
«,59
4,46
7,09
11,32
19,91
5,80
9,23
14,72
25,90
ri
20
21
2,02
3,22
5,13
9,02
4,5 3
7,20
11,49
20,21
5,«2
5,83
9,26
9,29
14,77
25,98
ro
9
2,T2
3,37
5,37
9,45
4,59
7,31
1 1,66
20,50
14,81
26,06
22
2,22
3,52
5,62
9,«8
4,66
7,41
11,82
20,79
5,«5
9,31
14,85
26,13
8
23
2,31
3,67
5,^'^ 6
ic,3i
4,72
7,51
11,9«
21,07
5,«7
9,33
14,89
26,19
7
H
2,40
3,82
5,^1
10,73
4,7«
7,61
12,14
21,34
5,««
9,55
14,92
26,24
6
25
26
2,5c
3,97
<5,34
11,15
4,84
7,70
12,29
21,61
5,«9
9,37
14,94
26,28
5
4
2,59
:^,I2
^,57
11,57
4,90
7,80
12,44
21,87
5,89
9,38
14,96
26,32
27
2,6S
.,27
6,81
1 1,98
4,96
7,«9
12,58
22,13
5,90
^,39
14,98
26,35
3
28
2,77
4,41
7,04
12,39
,01
7,97
12,72
22,37
5,91
9,40
14,99
26,37
2
25
-,86
^',5fc
7,27
12,79
5,07
L,06
12,86
22,61
5,91
-,40
15,00 26,38
I
30
-'•/•■' 3
-1,70
7,50
'3,19
5,12
8,14
1^,99
22,85
5,91 9,40]
13,00 2^^38
■0
Sig. XI. Occ. V. Or. 1
Sig. X. Occ. IV. Or. 1
Sig.- IX. Occ. III. Or.
G g g g
TABVLA LATITVDIN ARIA SATELLITVU
J 0 F I S.
ment.
Lati-
Sig. 0. ^oy. (5. Aufl.
Re-
du5i.
Sig. I. Bor. 7. Aufi.
Re-
duB.
Sig. 2. Bor. %.Auft.
iJf-
Inclimtio.
Inclinatio.
Inclimtio.
tttdi-
duEi.
nis.
Satellltum
Satellitis
Sukr
SacelHtum
Satellitis
SubtY
Satellitum
Satellitis
Sukr
Gr.
o
I
I. II III.
IV.
0 / //
J n
0 0
0 4
I. II. III.
IV.
1 II
I. II. III.
IV.
30
29
0 / //
0 / //
1 27 28
0 / ,/
0 / //
0 / //
1 II
I 44
000
000
I 20 "58
I 44
I 46
2 31 32
2 20 16
0 3 3
0 2 50
I 30 6
I 23 24
2 33 2
2 21 40
I 42
2
066
0 5 39
0 8
I 32 42
I 2549
I 48
2 34 30
2 23 I
r 40
28
3
099
0 8 28
0 13
I 35 17
I 28 12
I 50
2 35 54
2 24 20
I 38
27
4
0 12 12
0 II 18
0 17
I 37 50
I 3034
I 51
2 37 16
2 25 36
I 35
26
5
6
0 15 14
0 14 7
0 21
0 25
I 40 21
I 32 54
I 53
I 54
2 38 35
2 26 49
I 32
25
0 18 17
0 16 56
I 42 %o
I 35 12
2 39 51
2 27 59
I 29
24
7
0 21 19
0 19 44
0 29
I 45 17
I 3728
r 56
2 41 4
2 2p 7
I 26
23
8
0 24 21
0 22 32
0 33
I 4742
I 3943
I 57
2 42 15
2 30 12
.1 23
22
9
0 27 22
0 25 20
0 37
I 50 6
I 41 55
X 58
2 43 22
2 31 14
I 20
21
lO
II
0 30 22
0 28 7
0 41
I 52 28
144 6
I 59
2 4426
2 32 13
I 17
20
19
0 33 23
0 30 54
0 45
I 54 47
I 46 16
I 59
2 45 27
2 33 10
I 14
12
0 36 22
0 33 4°
0 49
I 57 4
I 48 23
2 0
.2 45 25
2 34 4
I II
18
13
0 39 21
0 36 26
0 53
I 59 19
I 50 28
2 0
247 20
2 3455
.1 8
n
H
0 42 19
0 39 II
0 56
2 I 32
I 52 31
2 0
2 48 13
2 3 5 43
I 4
16
15
i6
0 45 16
0 41 55
I 0
I 4
2 3 43
I 54 32
2 0
2 0
2 49 2
2 36 28
I 0
i5
14
.0 48 13
04438
2 5 51
I 56 31
2 49 47
2 37 10
0 56
^7
Q 51 9
047 21
I 8
2 7 57
I 5827
2 0
2 50 30
2 57 50
0 5 3
^3
i8
054 3
0 5.0 3
I II
2 10 I
2 0 22
;2 0
.2 51 10
2 3827
:o 4^
12
19
0 56 57
0 52 44
I 14
2 12 3
2 2 15
.1 59
2 51 47
2 39 1
0 45
1 1
20
21
Q 59 50
0 55 23
I 17
I 20
2 14 2
2 4 5
I 59
2 52 20
2 39 32
0 41
10
9
,1 2 41
0 58 2
2 1558
2 5 53
2 52 50
2 40 0
0 37
22
■I 5 32
I 0 40
I 23
2 17 52
2 738
I 57
2 53 17
2 40 25
0 33
8
23
I 8 21
I 3 17
I 26
2 19 44
2 p 21
I 56
2 53 41
2 4047
0 25
• 7
24
I II 9
I 5 52
I 29
.2 21 33
211 2
I 54
2 54 2
2 41 6
0 25
6
25
26
I 13 56
I 16 41
I 8 27
I II c
I 32
I 3 5
2 23 20
2 12 41
I 53
I 51
2 54 20
2 41 23
0 21
5
4
2 25 4
2 14 17
2 54 34
2 41 36
0 17
27
I 19 25
1 13 31
I 38
^ 2545
2 15 51
I 50
2 54 45
241 46
,0 13
3
28
I 22 8
I 16 2
I 40
2 28 2',
2 17 22
I 48
2 54 54
2 41 54
■0 8
2
29
I 2449
I 18 31
I 42
2. 29 59
2 18 50
•I 46
2 5458
2 41 58
0. 4
i
- 30
|i 27 28
I 20 58
I 44
Adde.
2 Ji 3^
2 20 16
I 44
Adde.
2 55 0
2 42 0
0 0
Adde.
■ 0
Gr
Sig. II. ^?/_^. 5. Bor.
Sig. lo.Aufi.^Bor.
Sig. 9. u^wy?. 3. .Bor.
Viri Keverendi D. Jacobi Bradley, in has fuas
Satellitum tahlas Nota.
IN hisTabuIis mQdiosSateSifum motus limitavimus, fad^ colktione pluri-
um Obfcrvationum, quae haberi poterant antiquiorum, qusq; prx eoeteris
accuratae vifx funt, cum nuperis noftris apud IVaufied captis j Jove nempe
poft quatuor Revolutiones in eodem fere Orbis fui loco exiftente. Confe-
rendo autem pari mode obfervata, poft unam, duas vel tres Jovis periodos,
invenimus aliquando difFerentias fat notabiles in motibus Satellitum trium
Interiorum, maxime vero in Secuftdo five Penintimo.
Utrum hae inaequalitates aliqua ex parte oriantur ab Eccentricitatc Orbium
Satellitum ac motu /4p(tdum, nondum fatis conftat j verum juxta ea qugs ia
motu Secundi annotavitnus, probabile eft eas mutuis Satellitum in fe invicem
a£lionibus tribui poffe. Secundum enim interdum tam brevi temporis fpatio
tantum ab aequabili motu deviat, ut a parv^* Ecceatricitate effitei non poflit,
dum obfervationes alias eam non patiuntur magnara. Quantum haftenus
coUigere datum eft, period us Iiorum errorum proxime refpondet tempori,
quo tres Satellites Interiores ad eundem fitum inter fe & cum Axe Umbrag
Jovii- revolvuntur, id quod fit finguUs 437 Diebus, poft 1x3 Secundi peri-
odos. Elapfo hoc fpatio iidem proxime errores eodem fere ordine reperi-'
untur ac prius.- Intermedio autem tempore, fc. poft 60 ejus periodos, de-
viabit Secundus 10', lo', 30', imo interdum 40 temporis minuta, a tenore
motus ante vel poft feptem menfes fervato. Quoniam vero Satellites poft
diftam period um; eundem in Caelo fitum non obtinent, fieri poteft ut hi
errores paulo diverfi proveniant. Quod fi adhuc Eccentricus fuerit hujus
Satellitis Orbis, ut nuperas fuadent obfervationes, compofitae utriufq; insequa-
litatis caufs motum ejus valde intricatum reddent, nee facile una ab altera
Obfervatione foli diftinguetur.
Errores Primi ac Tertii non funt adeo magni, fed ab iifdem caufis, ut vi-
detur, orti j utpote qui ab Eccentricitate fola minime pendent. Senfibilem
etiam notavimus diflFerentiam inter Durationes Eclipfiura Primi apud diver-
fos Nodos fa£l:arum, eafq; alternatim majores & minores efl"e : Majores fcili-
cet in Leone ad Nodum Defcendentem, ac Annis i68|, 169^ ac 1718, fel-
tem z^- xo' durantesj quae tamenad l^odum alterum in Aquario, Annis 1677
8f 1689, i'^- x4 non excedebant ; mi conferendo plures Obfervationes Im-
merfionum & Emerfionum, quantum fieri potuit inter fe propinquarum, li-
quido conftabat. Manifeftum autem eft banc difcrepantiam ab Eccentrici-
tate
tate Orbis Satellitls, fi qua fit, non totam orici. Cui vero caufe tribuenda fit;
nondum perfpicimus. Dum autem futuris invigilamus Obfervationibus, quarum
ope res a pofteriori aperiri poterir, liceat fperare aliquas e Geometris magni
Newtont cemulis, ftabili & probato Gravkatis Prhcipio innixos, invefligandis
a priori mutuis his Satellitum eflPedibus, eximiam opera m collocaturos.
Ex iis quas habemus Quartt Obfervationes, conftat Orbem ejus Ellipkum
effe : Et omnia noftra nupera obfervata probe reprsefentantur, ponendo maxi-
iram ejus iSquationem jequalem illi Planets Veneris^ five 48 Min. fummamq;
ejus ^//^^^ occupafTe K 8°. 00', ineunte Anno 17 17. Conferendo autem
banc Hypothefin cum Obfervationibus prioribus, Annis 1671, 1676, & 1677
laftis, calculus multum a Coelo difcrepare inventus eft. Reduda vero Af-
fide in i^s 14°. 00', ineunte Anno 1677, fublata eft fere omnis ifta difcre-
pantia. Pofito itaq^ A^ftdem^ motu xquabili fex graduum in decennio, in con-
fequentia ferri, cum intermediis etiam Obfervationibus Hypothefis ilia probe
congruere deprehenfa eft, quamqi proinde in Tabulis amplexi fumus. Hunc
autem computum ubiq; Ccelo conformem ( ft duo tantum obfervata excipias,
eaq; merito fufpecla) intra fextam gradus partem experimur.
Tabula noftra ^quammm Luminis fupponit radios Lucis motu «quabili
per Diametrum Orbis Terrcs in 14 Temporis Minutis propagari, &: omni-
no varianti '^ovu a Terra, diftantigs refpondet, cum Jupiter Soli proximus
eft. Cum autem in Aphelio ejus augetur diftantia Planetse quarta parte diame-
tri Orbis Terra^ necelTe habuimus has i^quationes adjefld Tabella corrigere.
Quod Latitudines attinet, e nuperis Obfervationibus conftat Nodos Qaarti
ad grad. 11 i. Aquarii & Leoais hodie reperiri; Nodofq^ Tertii his proximos
efle: Quocirca etiam eos Satellitum Interiorum ibidem collocamus, id non
prohibentibus hadenus a nobis Obfervatis- Quod fi No-Ji Satellitum ante
40 Annos, grad. 15"™ Aquarii & Leoms occupabant, ut vult D. Caffinus^ cujus
authoritate non alia gravior eft, turn in qualibet Jovit periodo duodecennali
unum circiter gradum retroceftiffe videntur. Inclinationem ad Planum Orbis
Jovii a D.Caffino pofitam, i.e. x°. 55', retinemus in cseteris ; ^arti vero
Orbitam paulo minus inclinari, nempe z°. 4i'j ftatuimus. Verum circello-
rum adeo minimorum fitum accurate definire plane arduum eft, neque abfq;
Telefcopiis perfecliffimis fufcipiendum,
Corofiidii loco plofcat Reverendo D. Pound TahuUs fequentes priorihm aqui-
foUentes de propria fubjmgere, pro'Calculo Edipfmm Primi Satellite fola Addi-
mm dfohendo^ ad exemphm Tabular km eldboratiffimArum V. CaiTini faSfas^
fid & compendia adhuc multo mnjori expe'ditas,
EP 0^
E I
' (
) C H M
S J J
C 0 NJV NC T 1 0 NV M
P R 1
'MI
' E L L IT IS CV M JOVE,
AmU
Jiili-
avis
Conjm^.
Num.
A.
Num.
B.
Annis
Jidi-
auis
Conjun^.
Num.
A.
Num.
B.
Cur-
Cur.
rent.
D.
H. / //
rent.
D. H. / y/
1719
1720
I
6 II 13
872
395
1749
1750
0 II 9 34
400
865
0
20 22 40
956
309
0 I 21 I
485
119
21
I
5 2 44
40
228
51
I 10 I 5
569
691
22
0
19 14 II
125
142
52
I 0 12 33
653
dii
23
0
9 25 38
209
56
53
I 8 52 37
73«
530
1724
1725
I
18 5 42
293
970
"isF
1754
1755
0 23 4 4
822
444
0
8 17 10
377
0 13 15 32
906
358
26
I
Id 57 13
462
807
56
0 3 27 0
990
272-
27
I
7 8 41
546
721
57
0 12 7 3
75
190
2b
0
21 20 8
630
635
5«
0 3 18 30
159
109
1729
1730
I
6 0 12
715
553
1759
1760
I 10 58 34
243
328
23
0
20 11 39
199
467
I I 10 I
937
31
0
10 23 7
883
381
di
I 9 50 5
412
855
32
0
0 34 34
967
295
62
I 0 I 32
49 d
169
33
0
9 14 38
' 52
214
63
0 14 13 0
580
683
1734
I
17 54 41
136
- 132
1764
0 4 24 27
66^
597
1735
■I
869
220
45
1765
0 13 4 31
749
5 Id
36
;0
22 17 36
305
960
66
0 3 15 58
83^
430
37
I
6 57 40
3«9
879
67
I II 56 2
918
348
3«
0
21 9 7
473
793
68
I 2 7 29
2
2d2
1739
1740
0
11 20 35
557
642
707
621
1769
1770
I 10 47 33
8d
181
0
I 32 2
I 0 59 0
171
95<
4^-
0
10 12 6
726
539
71
0 15 10 28
255
9
42
0
0 23 33
810
453
72
0 5 21 56
339
923-
43
I
9 3 37
^95
372
73
0 14 2 0
423
841
1744
1745
0
23 15 4
_ 919
285
1774
'1775
0 4 13 27
508
160
I
7 5^ 8
63
204
I 12 53 31
592
674
46
0
22 6 35
148
118
' 76
I 3 4 58
d7d
588
47
0
12 18 3
232
32
. 77
I II 45 I
7dr ,
Jod
4b
0
2 29 30
316
94^
: 78
I I 56 28
845
420
. 1749
0
II 9 34
400
855;
>77P
a; 16 756 929 1
334
b
L h
h h
REf^OLVTIONES PRIMI SATELLITIS JOFIS
IN M E N S I B V S.
J A N U A R I I,
D. H. ,
A.
I i8 28 36
0
3 12 57 12
I
5 7 25 48
I
7 . I 54 24
2
8 20 23 0
2
10 14 51 36
2
12 $» 20 12
14 3 48 48
3
15 22 17 24
4
17 i5 46 0
4
ip II 14 36
4
21 5 43 12
5
23 0 II 47
5
24 18 4c 23
6
26 13 8 5p
6
28 7 37 35
7
30 2 6 ji
7
31 20 34 47
7
FEBRUARII.
2
15
3 23
8
4
P
31 59
8
t^
.4
0 35
9
7
22
29 11
9
9
16
57 47
9
10
II
II
26 23
13
5
54 5?
10
15
0
23 35
II
16
18
52 II
II
18
13
20 47
II
20
7
49 23
12
12
22
?
17 ;59
23
20
4<5 35
13
25
15
15 II
13
27
9 43 47
13
87
92
9d
lOI
105
no
"4
118
123
328
132
137
141
146
150
M A RT I I
D.
H.
. u
A.
B.
I
4
12 23
14
155
2
22
40 59
14
159
4
17
9 35
15
164
6
II
38 10
15
168
8
6
6 46
\6
173
10
0
35 22
16
177
11
19
3 58
16
182
13
13
32 34
17
186
15
ii
1 10
17
190
17
2
29 46
18
195
18
4o
58 22
18
199
20
15
25 58
18
19
204
22
9
55 34
208
24
4
24 10
19
213
25
22
52 4^
20
217
27
17
21 22
20
221
29
II
49 58
20
225
3^
6
18 34
21
230
A P R I L I S.
2
0
47
10
3
19
15
44
46
22
5
I?
7
8
12
58
9
2
41
34
10 21 10 10
12 15 38 46
14 10 7 22
16 4 35 58J
17 23 4 33;
19 17 33 9'
21 12 i ,45
23 (5 30 21
25 o 58 57
2^ 19 2,7 33
28 13 55 9
30 8 2^ 45
235
239
244
248
252
257
2dl
265
270
274
279
283
287
292
296
300
304
MAIL
D.
H. , „
A.
1%
0
8 24 45
2
2 53 21
28
3
21 21 57
29
5
15 50 33
29
7
10 19 9
29
9
4 47 45
30
30
TO
23 t6 21
12
^7 44 57
31
H
12 13 33
31
16
6 42 9
31
18
I lb 45
32
19
^^.39 21^
33
21
14 7 57
23
8 3d 33
33
25
3 5 9
33
26
21 3,3 45
34
28
\6 2 21
34
30
10 30 57
35
J U N I I.
1 4 59 32
2 23 28 8
4 17 5^ 44
6 12 25 20
8 6 53 56
I 22 32
19 51 8
14 19 44
8 48 20
3 i^ 5^
21 45 32
20 16 14 8
22 10 42 44
24 5 II 20
25 23 39 56
27 18 8 32
29 12 37 8
S^ErOLVTIONES PRIMI SATELLlTfS JOFIS
IN
MENSIBVS.
J U L I I. 1
SEPTEMBRIS-
N 0 V E M B R I S. j
D. H, , „
A.
B.
D.
H^. , „
A.
B.
p.
H. , „
A.
li.
I 7 5 44
42
45 5
I
5 4^ 42
56
606
0
9 f9 f
70
758
3 I 34 ?o
42
459
3
0 15 18
57
610
2
4 27 41
71
762
4 ?o 2 56
43
463
4
18 43 54
57
615
3
22 56 17
71
767
^ M 31 32
43
468
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13 12 30
58
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71
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58
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72
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44
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476
480
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9
6 22 5
72
73
781
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II (21 57 20
II
20 38 18
II
0 50 41
13 J6 25 55
45
485
12
15 6 54
59
637
12
19 19 17
73
790
15 10 54 31
45
489
15
9 35 30
60
641
14
13 47 53
74
794
J7 5 23 7
46
493
17
446
60
646
16
8 16 29
74
799
18 f!3 51 43
46
498
18
22 32 42
60
650
18
2 45 5
74
804
20 i8 20 i^
47
47
502
7^
20
17 I 18
61
655
19
21 13 40
75
75
808
22 12 48 55
22
II 29 54
61
659
21
15 42 16
24 7 17 51
47
510
24
5 58 30-
62
663
23
10 10 52
76
817.
26 I 46 7
48
515
26
0 27 <5
62
668
25
4 39 28
76
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27 20 14 43
48
519
27
18 55 42
62
672
26
23 8 4
76
827
29 14 43 19
49
523
29
13 24 18
63
677
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17 36 40
77
831
31 9 II 55
4P
528
30
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77
836
A U G U S T I.
0 C T 0 B R I S.
DECEMBRIS.
2 3 40 31
49
532
I
7 52 54
63
681
2
6 33 52
78
840
3 22 '9 7
50
536
3
2 21 30
64
686
4
I 2 28
78
845
5 1^ 37 43
50
541
4
20 50 6
64
690
5
19 31 4
78
849
7 II 6 19
51
545
6
15 18 41
65
695
7
13 59 40
79
854
9 5 34 55
51
51
549
554
8
9 47 17
65
65
699
704
9
8 28 16
79
8*0
859
863
II 0 3 31
10
4 15 53
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2 56 52
12 18 32 7
52
558
1 1
22 44 29
66
708
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21 25 28
80
868
14 13 0 43
52
562
13
17 13 5
66
713
14
15 54 4
80
87^
16 7 29 19
53
567
15
II 41 41
67
717
16
10 22 40
81
877
18 I 57 55
53
571
17
6 10 17
67
721
18
4 51 16
81
882
19 20 26 51
54
54
575
58c
19
0 38 53
67
68
726
730
IP
23 19 52
82
82
886
21 14 55 7
20
19 7 29
21
17 48 28
23 9 23 43154
: 25 3 52 18J55
584
58&
22
24
13 3^ 5
;8 4 41
68
69
735
739
23.
25
12 17 4
82
B9C
90c
6 45 40
83
26 22 20 5^
55
593
26
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69
744
27
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905
28 16 49 30
56
597
27
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74i
28
19 42 52
84
909
30 11 18 6
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29
15 30 29
70.
753
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,14 II 28
8419141
PRIMJL
MCIVATIO NES C 0 NJ V N C T 1 0 NV M
PRIM I S
ATE
LLITl.
J CVM JOVE.
Num.
^quat.
^c,.
Nam.
Mquat.
^..
Num-
jEquat.
Mq.
Nam.
jEquat.
^q..
A.
ConjunB.
mm.
A.
ConjunB.
Num.
A.
ConjunB.
Num.
f\
ConjunB.
Num.
Mde.
B.
Addi.
B.
Mde.
u.
Adds.
K.
o
4
. ..
15
16
128
132
. „
~6
26
256
260
1 II
31
31
384
388
, „
~6
26
39 8
0 I
II 52
38 12
II 27
0 0
12 37
8
37 16
16
136
10 47
26
264
0 I
31
392
13 23
25
12
36 21
16
140
10 9
27
258
0 3
31
396
14 II
25
16
35 26
17
144
9 31
27
272
0 7
31
400
14 59
25
20
;34 30
17
148
845
27
276
0 12
31
■
404
15 48
24
24
33 3 5
17
152
8 19
27
280
0 19
31
408
16 38
24
28
32 40
18
156
7 44
, 28
284
0 28
30
412
17 30
24
32
31 45
: 18
160
7 10
28
288
0 38
30
416
18 22
23
36
30 50
IP
164
6 38
28
292
0 50
30
,420
19 15
23
40
29 56
19.
168
6 7
28
296
I 3
30
424
20 9
23
44
29 3
19
172
5 37
28
■300
I 17
30
428
21 4
22
48
28 10
20
176
5 8
29
.304
1 33
30
432
21 59
22
52
27 16
20
180
4 41
29
308
I 50
30
436
22 55
22
■ 56
26 23
. 20
184
4 15
29
312
2 8
30
440
23 53
21
60
25 30
21
188
3 49
29
316
> 2 28
30
444
24 51
21
64
68
24 38
21
21
192
196
3 24
3 I
29
29
320
2 51
30
29
448
452
25 49
21
20
23 47
324
3 15
26 48
72
22 56
22
200
2 40
30
.328
: 3 40
29
456
27 48
20
76
22 3
22
204
2 20
30
332
4 ^
29
460
28 48
19
80
21 15
22
208
2 1
30
536
4 34
29
464
29 4P
19
84
20 26
25
212
-I 42
30
340
5 3
29
468
30 50
19
88
19 37
23
216
: I 25
3°
344
5 34
29
472
31 51
18
^2
18 48
23
220
I IC
30
348
6 5
28
476
32 53
18
96
100
18 0
24
24
224
228
0 58
30
3°
352
356
6 38
28
480
484
33 55
17
17
17 14
0 47
7 13
28
34 57
104
16 28
24
232
0 36
30
360
7 50
28
488
3 5 59
17
108
15 42
• 24
236
0 26
30
3^4
8 27
27
492
37 I
16
112
116
H 57
25
25
240
24,;.
0 18
30
35t
372
9 6
27
27
496
500
38 5
16
14 13
' 0 12
9 4^
39 8
15
120
13 30
25
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0 7
31
576
IQ 271 27
504
40 \ J
15
124
12 48
26
252
0 4
3'
380
II 9 26
508
41 J>
14
128
12 7
26 -
25.6
0 1
31
.384
II 52 1 261
512
42 17
14
PRIMM
jEQ^VATIO NES CONJV NCT 10 NV.M
PRIMI SATELLITIS CVM
JOVE.
tlum
jSquat.
^<f.
Num.
MqtMt.
M<^.
Num.
Mquat.
^f.
Num. ^I'-'^t-
Mq.
A.
ConjunSf.
Nu>n.
j^
Conjunlt.
Num.
A
ConjunB.
Num.
A
ConjunSb..
Mde.
D.
Mde.
B.
3
3
768
772'
Adde.
0
0
896
Adde:
B.
6
7
512
ri5
. n
14
14
640
. .,
, „
42 17
70 26
77 40'
6\ 48
43 19
644
71 3"
77 29
900
61 2
J2q
44-2 1-
13-
648
71 3«.
3
776
77 i^
0
904
60 13
7
J 24
45 23
13
652
72 II
. 2
780
77 6
0
908
59 28
7
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45 25
-13.
6^6
72 42
- 2
784
76 51
1
912
58 39
8
532
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12
660
73 13
2
788
76 34
I
916
57 50
8
536
48.27
12
664
73 42
792
76 15
I
920
57 I
: 8
540
49 28
II
668
74 10
796
75 56
I
924
56 II
9
544
J48
50 28
II
672
74 36
800
75 36
I
928
932
5) 20
9
9
51 28
II
676
75 I
804
75 15
I
54 29
552
52 27,
10
680
75 25
808
74 52
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936
53 38
10
556
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10
684
75 4^
812
74 27
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560
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688
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2
944
51 53
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564
55 21
. 9
692
76 26
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820
73 35
2
948
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568
55 17
9
696
76 43
0
824
73 8
2
952
50 6
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572
57 12
8
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76 59
0
828
72 39
2
95-5
49 13
II
576
5« 7
8
704
77 13
0
832
72 9
2
960
48 20
12
580
59 I
8
708
77 26
0
836
71 3^
3
964
47 26
12
5B4
59 54
7
712
77 3«
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71 6
3
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12
588
60 46
7
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0
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70 32
3
972
45 36
13
592
61 38
6
720
77 57
0
848
69 57
3
976
44 41
13
596
62 28
6
724
78 4
0
852
69 21
3
980
43 46
13
600
^3 17
6
728
78 9
0
856
68 45
4
984
42 50
H
604
H 1
5
732
78 13
0
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68 7
4
988
41 5 5
14
608
612
^4 53
5
5
736
740
78 15
0
0
868
67 29
4
4
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41 0
40 4
14
15
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78 IC
66 49
616
66 24
5
744
78 15
0
872
56 ^
5
1000
39 8
15
62c
57 7
4
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78 12
0
876
65 28
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4
4
752
756
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0
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37 16
16
16
68 30
78 4
36 21
632
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4
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17
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3
764
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540
70 26
3
768
77 4°
0
2:6
5i 4>
c
^24|33 35
17
Hh hh
SECVND^ ^QVATlOiJES C 0 NJV NCT 10 NV M
PRIMT SJTELLITIS COM JOFE.
o
100
200
300
400
500
6qo
700
800
poo
Num.
B
i
.
M({uau
JEquat.
JEqu.
Miiu.
M(iu.
JEqu.
MqU.
j^qu.
Alquat..
'Mquat.
O
4
1 H
1 II
1 II
9 45
9 36
1 II
5 30
5 20
1 II
I 37
I 30
1 II
0 0
0 0
1 ll
I 37
I 44
5 30
5 40
1 II
/ //
14 0
12 52
9 45
12 52
14 0
12 46
P 54
12 $8
8
13 59
12 40
9 26
5 9
I 23
0 I
I 52
5 51
10 3
13 2
12
13 5-9
12 35
P 17
4 59
I 16
0 2
1 59
6 I
10 12
13 7
i5
13 58
12 29
P 7
448
I 9
0 3
2 7
5 II
10 21
13 11
20
34
13 57
12 23
8 58
8 48
438
428
I 3
0 57
0 4
0 5
2 15
2 24
6 22
10 31
13 16
13 20
13 56
12 17
6 33
10 40
28
13 5^
12 II
8 38
4 18
0 52
0 7
2 32
d 44
10 49
13 25
32
13 53
I» 4
8 28
4 «
0 46
0 10
2 41
6 55
10 57
13 29
36
13 51
II 56
8 17
3 58
0 40
0 13
2 50
7 5
II 5
13 33
40
13 49
II 49
« 7
3 4«
0 35
0 16
2 59
7 16
ri 13
13 36
44
13 47
II 42
7 57
3 38
0 31
0 19
3 9
7 2d
II 20
13 38
48
13 44
II 34
7 47
3 29
0 27
0 23
3 19
7 36
ir 27
13 41
52
13 41
13 38
II 27
7 36
3 19
0 23
0 27
3 29
7 47
II 34
13 44
5"
11 20
7 2b
3 9
0 19
0 31
3 38
7 57
II 42
13 47
do
64
13 36
II 13
7 i^
7 5
2 59
2 50
0 1(5
0 13
0 35
0 40
3 48
3 58
8 7
8 17
II 49
13 49-
13 33
II '5
II 5d
13 51
68
13 ^9
10 57
6 55
2 41
0 10
0 46
4 8
8 28
12 4
13 53
72
13 25
10 49
6 44
2 32
0 7
0 52
4 18
8 38
12 II
13 54
76
13 20
10 40
6 33
2 24
0 5
0 57
4 28
8 48
12 17
13 56
80
84
13 16
13 II
10 31
6 22
6 II
2 15
2 7
o^ 4
0 3
I 3
I 9
4 38
4 48
8 58
9 7
12 23
13 57
10 21
12 29
13 58
88
13 7
10 12
J I
I 59
0 2
I 16
4 59
9 17
12 35
13 59'
P2
13 2
10 3
5 51
I 52
0 I
I 23
5 9
9 26
12 40
13 59
96
12 58
9 Vf
5 40
I 44
0 0
I 30
5 20
9 3^
12 4d
14 0
100
12 52
9 45
5:30
I 37
0 0
I 37
5 30
9 45
12 52
14 0
TJEl^TZ^
SEMIDVRATIONES ECLIPSIVM
jEQVATIONES
ADDENDj^
PRIMI SJTELLITIS J 0 F I H.
Num.
Mqm-
tiones.
1 II
mm.
mm.
Semidu-
mm.
Smidti-
mm.
Semidu-
W«w.
Semidu-
A.
A.
A.
rationes.
A.
rationes.
A.
rationes.
A.
rattones.
H. / //
H. / II
H. / //
H. / //
o
20
3 30
3 2P
1000
5?8o
0
I 5 9
250
2 5o
I 7 0
500
510
I 5 9
750
760
1 7 46
10
I 4 56
I 7 15
I 4 53
I 7 57
40
3 28
960
20
I 4 44
270
I 7 31
520
I 4 39
770
I 8 7
60
3 25
P40
30
I 4 33
280
I 7 45
530
I 4 26
780
I 8 15
80
3 19
920,
40
I 4 23
290
1 7 57
540
I 4 15
790
I 8 2.2
100
120
3 12
3 4
900
880
50
60
I 4 14
300
I 8 7
550
•)6o
I 4 7
800
810
I 8 26
I 4 7
310
I 8 15
1 4 3
I 8 28
140
2 56
85o
70
I 4 4
320
I 8 22
570
I 4 I
820.
1 8 3,0
160
2 46
840
80
I 4 2
330
I 8 27
580
I 4 0
830
I 8 28
180
2 34
820
90
140
340
I 8 28
590
I 4 3
840
I 8 26
200
220
2 22
2 10
800
780
100
I 4 2
350
360
I 8 29
600
5io
I 4 7
85:0
...
860
I 8 22
no
I 4 3
I 8 27
I 4. ij
I 8 16
240
I 57
760
120
I 4 6
370
I 8 24
(520
I 4 23
870
I 8 8
260
I 44
740
130
I 4 12
380
I 8 17
530
I 4 35
880
I 8 0
280
I 30
720
140
I 4 21
390
I 8 9
640
I 4 49
890
I 7 5^
300
I 17
700
150
I 4 31
400 I 7 5«|
650
I 5 4
900
I 7 37
320
I 5
680
1 60
I 4 42
410
I 7 46
660
I 5 19
910
I 7 22
340
0 53
660
170
I 4 55
420
I 7 31
670
I 5 36
1 920
I 7 «
360
0 41
640 ,
180
I 5 9
43°
I 7 14
680
I 5 5^-
930
I 6 55
3«o
0 3.1
6.20
190
I 5 23
440
I 6 58
690
I 6 I-
940
I 6 40
400
,.420
0 22
0 14
600
580
200
I 5 39
450
460
I 6 40
700
710
I 6 28
950
9e;o
I 6 23
210
I 5 55
I 6 20
I 6 46
I 6 8
440
0 <
)-6o
220
1 6 II
470
I d 2
720
I 7 2
970
I 5 54
.4.;0
|o
54c
:Jo
I 6 26
480
I 5 45
730
I 7 17
980
I 5 37
4K0
;o
1 •)' 2 <-
?.^o
I ^ 43
490
I 5 26
740
I 7 33
990
I 5 22
.5'':
,0
1 500
25c
I 7 0
500
I 5 9
750
I 7 46
1000
I 5 9
De harum Tahlarum Conftru^ione.
HJE Tabub e prjecedentibus confeflrae, ac facilitate Calculi nullis
cautionibus obnoxii plurimum fe commend antes, in ufus Geogra-
fhicos Longitudinibus locorum inveniendis deftinatas funt : Earum
€nim ope, abfque aliarum Tabularum fubfidio, Eclipfes Primi SatelHtis "^ovis
Ibia Additione ftatim obtinentur, ne mora tasdiumve Computi operorioris mi-
nus exercitatos ab his ftudiis deterreret.
Quales autem fint hi Numeri ut melius capiat Le£bor, fciat Epochas Con-
jun5iiomm effe momenta Conjunftionis Satellitis cum loco Jovii medio, ab
irteante Jamario Currentis Anni Juliam piim^, demptis 39'. 8" temporis,
^quibus Satelks ille ^quationem '^ovis maximam, five f°. 51'. 36" peragit.
Num. X ubiq; eft ipfa Anomalia media ^''o^'^, Circulo in partes millefimas,
<juarum finguiae aequipollent xi'. 36", dividi fuppofito. tJum. B autem an-
gulus eft quo, tempore Epochoe, medius ^fct-^ locus diftat a. 5(j/«_vero, itl-
.dem incirculi millefimis ssftimatus, fed demptis 154 partibus, qualium eft
ijequatio JovU maxima.
Sublatis igitur ex Epochis aequatlonibus riiaximis, costers omnes ubiqj
€unt Addendce: Et quidem Aquatic ConjunBiomm eft fumma vel differentia
ipforum 39'. 8" ac Temporis quo aequatio Jovjs, zd datam Anomaliam
mediam A, motu Satellitis a Jove percurritur j unde nulla fit ad Nuf>i. Az6o,
<3U8£ vero ad Num. A 740 dupla fie maxims, five i"- 18', 16''. Pari modo
.JEquat. Num. B eft fumma vel Ditferentia partium 15 ^ & ejufdem squatio-
nis Jovis in circuli millefimis, fub contrario Titulo applicats, ac proinde
dupla fit, five 31, ad Num. A z6o, nulla vero ab 740. In Menfibus autem
insequalia fa£la funt Num. B augmenta, pro ratione insequalitatis motus Sola-
ris per totum Annum : Qua propter fi Nam. B colleflo adjiciatur ejus squa-
tio fiet fumma (five Numerm B ^equatus angulus Commutationis didus, i. e,
Diftantia Solii a Loco Jovm Heiiocentrico, quocum fumenda eft JEquatie
Secunda^ qus eadem cum jEqaatione Lummis. /Equatio autem Tertia non
alia eft quam CorreBio MquMionii Luminii cum Nim, A capienda, pariterqj
femper addenda.
Hoc autem artiiicio non folum i^quationes omnes Hunt Additivse, fed cum
ordine decimali procedat uterq; Humerus A 8? B, multo tutius ac facilius
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in Anno autem Bipxtili poft Fekuarium auferendus eft unus Dies e tem-
goribus Conjundionum hoc Cajculo inventise
EPOC HM
EFOCHM MEDIORVM MO T VV M dJU I N QjJ e\
SATELLITVM S A T V R N I.
1
Amis
PrimtM
Secmdm
Tertiui
Quartus
Quiritus
ams
ab j£quinoB,
ah ^quim^.
ab JE^uinoB.
ab Mquonoa.
ab utquinoil.
tibtis.
S 0 /
S b 1
S 0 1
S 0 /
S 0 /
1661
3 3 2
10 12 31
4 22 38
II 13 33
II 7 46
81
9 28 16
II 3 40
5 10 7
0 28 49
0 9 37
1701
4 23 31
II 24 48
5 27 35
2 14 4
I II 28
14
5 25 15
9 II 40
6 7 2
II 19 50
II 19 2
15
I715
9 29 50
I 21 50
6 2 I
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17
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8 14 16
9 12 56
18
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7 3 54
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19
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1720
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6 8 26
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1721
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23
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24
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1725
10 17 48
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7 13 41
1726
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8 29 31
10 5 0
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27
6 16 58
6 28 32
6 \6 28
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28
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1735
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1736
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37
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3«
II 19 32
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8 20 9
5 21 15 1
39
3 24 7
0 5 13
9 8 57
7 10 46
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1740
1741
7 28 42
6 13 59
4 15 23
6 25 54
6' I 23
5 14 35
8 4 10
.176
1 233
3 15 10
42
10 18 34
5 17 i^
4 19 30
4 5 12
10 21 37
43
2 23 10
9 27 27
2 6 27
2 25 49
5 28 5
44
6 27 45
2 7 37
II 23 24
I 1(5 26
I 4 32
174J
5 13 2
10 29 20
003
0 29 38
8 15 32
1 i il
MEDJI MOTVS SATELLITV M SJTVRNI
IN A N N 1 S.
Amis
o
I
2
3
4
5
6
7
8
9
lO
II
12
13
14
15
16
20
40
60
; 80
Primi
Secundi
Tertii
Quarti
>
Quinti
S 0 /
S 0 /
S 0 /
S 0 /
So,
4 4 35
8 9 10
0 13 46
10 29 3
4 10 10
8 20 21
1 0 31
9 22 14
2 2 24
5 12 35
10 22 45
7 14 27
11 24 38
4 4 48
8 14 59
5 6 41
9 16 57
7 3 54
4 20 51
4 27 30
2 14 27
0 I 24
9 18 21
9 24 59
10 20 37
9 II 14
8 I 51
7 15 3
d 5 40
4 25 17
3 i^ 54
305
7 5 27
2 12 55
9 19 22
5 0 22
-
3 3 38
7 8 13
II 12 49
9 28 5
0 d 50
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10 0 44
2 2 41
5 7 i5
10 II 51
8 27 9
I I 44
S 6 19
9 10 54
7 25 II
7 " 57
4 28 54
2 15 51
2 22 29
I 20 43
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10 15 9
5 7 12
0 13 39
7 20 7
3 I 7
9 16 52
1 27 2
5 7 12
2 28 55
0 21 9
1 12 17
2 3 26
2 24 35
0 9 25
9 25 23
7 13 20
7 19 59
0 17 29
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1 22 2d
2 9 55
9 5 4^
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5 17 I
5 0 12
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0 20 29
8 I 29
6 25 14
I 20 28 ■
8 15 43 ■
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5 I I
1 I 51
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4 7 24
M E N S I B V S I N E V N T I B V S.
Menje
Jan.
feb.
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Apr.
Matt
Junii
Juln
Aug.
"sept,
1 Dec.
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10 10 24
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000
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4 d 27
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5 4 35
10 25 i5
3 II 25
825
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7 10 25
0 12 2
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9 12 56
8 28 59
0 2d 33
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5 5 27
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2 25 13
I 13 32
0 23 25
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MEDII MOTVS SJTELLITVM SJTVRNI
I N D I E BV S.
Die-
bus.
o
I
Primi
Secuncii
Tertii
Quarti
Quinti
S 0 1
S 0 1
s 0 ;
S 0 /
S 0 /
6 10 42
4 II 32
2 19 41
0 22 35
0 4 32
2
0 21
24
8 23 4
5 P 23
I 15 9
0 9 5
^
7 2
6
I 4 3^
7 29 4
2 7 44
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4
I 12 47
5 i5 8
10 18 46
3 0 18
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5
6
7 23 2p
9 27 40
I 8 27
3 22 53
0 22 41
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2 9 12
3 28 8
4 ij 28
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7
8 14 53
6 20 45
6 17 50
5 8 2
I I 46
8
2 25 35
II 2 17
9 7 31
5 0 37
I 6 18
9
9 6 17-
3 13 49
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5 23 12
I 10 51
lo
. 11
3 16 58
7 25 21
2 16 54
7 15 46
I 15 23
9 27 40
0 6 53
5 6 36
8 g
21
I 19 55
12
4 8 22
4 18 25
7 25 17
9 c
55
I 24 28
13
10 ip 4
8 29 57
10 15 58
. ,9 23
30
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H
4 29 46
I 11 29
I 5 40
10 16
5
2 3 32
15
i6
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3 25 21
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39
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5 21 10
10 4 33
615 3
■0 I 14
2 12 37
17
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i8
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6 27 37
11 24 25
I \6 23
2 21 4,1
19
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11 9 10
2 14 7
2 8 58
2 2(5 14
20
21
7 3 57
3 20 42
- 5 3 48
3 I 32
3 0 46
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,8 2 14
7 23 30
3 24 7
3 5 18
. 22
7 25 21
0,13 46
10 13 II
4 16 42
3 P 50
^3
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I 2 53
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24
8 1(5 44
9 6 50
3 22 34
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25
26
2 27 26
I 18 22
6 12 15
6 24 26
3 23 27
9 8 8
5 29 5^-
9 I 57
7 17 0
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27
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50
10 11 26
II 21 38
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4-: 2 3-2
28
9 29
3^
2 1% 58
2 II 20
929
4 7 4
29
4 10 14
7 'T 30
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9 24
44
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30
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19
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5 I 37
3 27 35
:IO 10 24
II 9 53
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MEDII MVTVS SJTELLITVM SJTVRNI
I N HO R I S,
J J
Tav*ii
■
Quinti
Hoy.
o
Primi
Secundi
Sal
Quarti
lertti
so/
S 0 /
0 / 1/
° / ti
I
0 7 57
0 5 29
0 3 19
0 5^ 26
0 11 20
2
0 15 53
0 10 58
0 6 38
I 52 53
0-22 4-1
3
a 23 50
0 16 25
0 9 58
2 49 19
0 34 2
4
I I 47
0 21 55
0 13 17
3 4^ 46
0 45 23
5
I 9 44
0 27 24
0 16 S6
4 42 12
0 56 44
6
I 17 40
I 2 53
0 19 55
5 38 39
I 8 5
7
I 25 37
I 8 22
0 23 15
635 6-
I 19 25
8
i 3 34
I 13 51
0 26 34
7 31 33
I 30 46
9
2 II 31
I 19 20
0 29 53
8 27 59
I 42 7
lo
2 19 27
I 24 48
I 3 12
9 24 2(5
I 53 27
11
2 27 24
2 0 17
I 6 31
10 20 52
2 4 48
12
3 5 21
2 5 4^
I 9 51
II 17 19
2 16 8
T^
3 13 18
2 II 15
I 13 10
12 13 45
2 27 29
14
3 21 14
2 16 44
I i<5 29
13 10 II
2 38 50
15
3 29 II
2 22 13
I 19 48
I 23 8
14 6 37
15 3 4
2 50 II
4 7 8
2 27 41
3 T 31
17
4 15 5
3 3 10
I 26 27
15 59 31
3 12 52
18
4 23 I
3 8 39
I 29 46
16 55 58
3 24 12
19
5 0 58
3 14 8
2 3 5
17 52 24
3 55 32
20
5 8 55
3 19 37
2 6 24
18 48 51
3 4^ 53
21
5 16 52
3 25 6
2 9 44
19 45 18
3 58 14
22
5 24 48-
4 0 34
2 13 3
20 41 44
4 9 35
23
6 2 45
4 ^ 3
2 16 22
21 38 10
4 20 56
24
(5 10 42
4 II 32
2 19 41
22 34 37
4 32 17
25
6 18 39
4 17 I
2 23 I
23 31 3
4 43 38
26
6 26 35
4 22 30
2 26 20
24 27 30
4 54 58
27
7 4 32
4 27 59
2 29 39
2) 23 56
5 <5 19
28
7 12 29
5 3 27
3 2 58
26 20 23
5 17 4°
^ 2Q
7 20 26
5 8 56
3 d 18
27 \6 49
5 29 I
: ,3<>
7 28 22
— .
5 14 25
3 9 37
28 13 15
—
5 40 22
MEDII MO TVS SJTELLITVM SJTVRNI
IN MINVTIS HORARIIS.
Sec.
Min.
Satell.
I.
o, 48
o; 56
T I?.
I ic
•t 3 5
i 43
I 51
I 59
2 7
2 1-5
2 23
2 3.5
2 47
2 55
3 3
3 II
3 i^
3 27
3 35
3 4^-
3 50
3 58
Sarell.
II.
o 5
o 1 1
o 16
O 22
o 27
o 33
o 3 b
o 4-^
o 49
o 55
I o
I 6
I if
I 17
I 22
I, 55
2 I
2 6
2 12
2 17
2 22
2 28
2 33
2 39
Sacell.
III.
o 20
o 23
o 27
o 30
° 33
O; 37
o' 40
o 43
o 46
o 50
6 53
0 56
T O
1 S
I I C'
I 13
T I -'
I 2C
I 2i
I zo
I 30
I 33
I 3<^
2 44ii 40
Satell.
IV.
0 56
1 53
3 4^
4 42
5 59
6 35
7 31
8 28
9 24
9 4-
23 31
25 24
26 20
27 17
28 13
Satell.
V.
o 34
o 45
o 57
I b
I 19
I 30
I 42
I 53
2 5
2 16
2 28
2 39
2 50
3 I
3 13
3 24
3 36
3 47
3 5&
4 32
4 43
4 55
5 6
5 17
5 29
5.40
Mb.
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
~6
47
48
49
50
51
52
53
5^;
5 5
50
57
58
5t'
Satell.
I
4 4'^
4 54
5 2
5 10
5 18
5, 26
5 34
5 r-
5 50
5 5S
o 5
6 13
6 21
6 2J,
6 37
6 45
6 53
7 ^
7 f
7 17
7 25
7 35
Satell.
II.
2 50
2 n
3 I
3 6
3 12
3 39
3 45
3 50
3 56
4 I
4 7
4 25
4 29
4 34
4 40
4 45
4 50
4 56
5 I
7
12
7 4' 15 18
7 49 1) 23
60 17 5715 29
Satell.
III.
Satell.
IV.
I 43 29 10
I 46 30 6
I 50131 3
I 53 32 o
I 56 32 57
2 o
2 3
2 6
2 9
2 13
2 I<5
2 19
2 23
2 26
2 29
2 49
2 53
2 56'
2 59
3 3
3 6
3 9
3 13
3 16
33 54
34 50
3 5 46
35 42
37 38
38 34
39 30
40 27
41 23
4'
20
43 16
44 13
45 10
46 6
47 2
47 5^
48 54
49 51
50 48
51 44
3
52 40
53 37
54 34
55 30
I9| $6 26
Satell.
V.
5 52
^ 3
6 14
6 26
6 37
6 -
7 o
7 II
7 22
7 34
7 45
7 56
8
8 ip
8 30
8 42
8 53
9 4
9 15
9 27
9 38
9 50
10 I
10 12
10 23
10 35
10 46
TO 58
11 9
1 1 20
K k k k
TABVLA LATITVDIN ARIA SATELLITVM
SJTVRNI. ,
Sig. 0. ioj-. 6. Auft.
Sig. 1. Boy. 7. Au^.
Sig, 2. jBon 8. ^«/?.
Argu-
ment.
Lati.
tudi-
nis.
ST
Satellitum
Satellitis
Satellitum
Satellitis
Satellitum
Satellitis
1. 11. in. IV.
V.
I. II. III. IV.
V.
I. II. III. IV.
V.
Inelliiat.
Redua.
° 1
Inclin.
0 1
0 /
Inelinat.
Redua.
a 1
Inclinut.
ReduE}.
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ReduB
0 /
IncUnat.
0 /
0 1
0 /
0 /
a 1
0 /
o
I
0 0
0 0
0 8.
0 0
0 15
0 0
0 2
14 29
3 26
3 31
726
0 51
0 52
25 39
3 41
3 37
12 57
0 52
0 51
30
29
0 30
H55
740
25 50
13 5
2
1 0
0 \6
0 31
0 4
15 22
3 35
7 53
0 53
26 12
3 33
13 13
0 50
28
3
I 30
0 24
0 4«:
0 6
1548
3 39
8 6
0 54
26 27
3 28
13 20
0 49
27
4
2 0
0 32
I 2
0 8
16 14
3 42
8 19
0 55
26 42
3 23
13 27
0 47
26
5
6
2 30
0 40
0 48
I 17
I 3S
0 10
0 12
16 40
3 46
3 49
832
0 55
0 %6
26 57
3 18
13 34
0 46
0 45
25
24
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17 5
845
27 "
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7
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3 7
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22
9
429
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0 18
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21
10
1 1
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0 20
0 22
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4 0
4 2
9 35
0 58
0 59
28 2
2 48
2 41
14 4
0 39
0 37
20
19
5 28
I 27
2 50
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947
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14 10
12
5 5«
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0 24
19 33
4 3
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2 34
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0 35
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0 59
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0 30
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15
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I 39
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20
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2 30
2 37
5 5
5 19
0 38
0 39
22 31
4 6
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0 59
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29 30
I 30
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1440
0 21
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Sig.
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De Tahlis SateUitum Saturni.
HM Tabulae motuum Satelluum Saturm merx Ca0m4»a {{Jtit^ ad'
Meridianum Londmenfem AyXumq^JuliamrnvtAdi^Xy quas inter
ABa Academic Regia Pariftenfts Anni 17164 praeftantiffimus Afiro-^
nomui D. 'Jacobus Caffinus nunc piimum ediditj quafque noftris in Philofofhica-
TraitfaB. N» 356, utpote raptim conft.ftis, merito praetulimus. Abunde qui-
dem fulRciunt Tabulae ad diftinguendos inter fe Satellites, & ad eorum Loca
juxta 54/ar»«?» indigitanda, qui alias ob parvitatem, oculis hebetioribus, ni
rede coUimant, jegre in confpedtum venirent : Nondum tamen eas ultiraam-
Celeberrimi Authoris manum recepiffe conftat ; fed potius Publico donari,.
ut earum ope commode prgsvideant Aftronomi eas obfervandi opportunitates, .
quje ad emendendamTheoriam motuum plurimum conferre poterunt.
Supponuntur autem Periodi horum SateUitum, qyibus revolvuntur ad
^quinoftium, five ad principium Arktu^ fcilicet
.Primi five Intimi x°- zi'^- 18' 27". Secundi Venintimi 2°- iq^- 41' 22''.
Tertii five Medii /^°- iz"- 2%' iz". Quarti Hugeniani 15°- 22"- 41' 12".
Qumti^\VQExtimij9°- 7^-47^ o". Pofito autem, ( juxcaRegulam Naturae:
faltem in hoc noftro Syllemate univerfalem, qu£eq;tam injovialiumac Lunae
motibus, quam Planetarum primariorum circa Solem obtinet ) Vires cenrrum
Suturni petentes effe in duplicata ratione Diftantiarum reciproce, acq; adeo
Cubes Difbantiarum a Centro ejus t^Q ut quadrata Temporum. Periodicorum T-
ex data Diftantia & Periodo Qa^m, reliquorum Diftantiae conlequuntur.
Nuperis autem Obfervationibus, ingenti radio Telefcopii Regalis Societatis:
120 Pedes fijperante, ope Micrometri artificiofiflimi, invenit D. Pound ratio-
nem DiftantiasSatellitis Quarti & maxlmi a centro Sxturni^ ad Semidiametrura*
Annuli ejus ut 374 ad 43, five ut 8,7 ad i proxime j.rationem vero Diametri-
Annuli ad illam Gloh't elTe ut 7 ad 3. Proiode iaito Calculo proveniunt Diftan- -
ti« ut fequitur.
-
Semidiam.
Semiditm.
Anntili.
Glohi ]?.
Primi
2,097
4.893
Secundi
2,686
6,268
Tertii
3,752
8,754
Semidiam.
Semidiam».
Annuli.
Globt ^ii
Quarti 8,698
20,295
Quinti 25,348
59,154
Matt autem 29°. \&- hujus Anni lyi^ St. Fet. eodem Obfervatore ac Iri-
ftrumentis, vifus eft Quarfus. in maxima fere ejus a Planeta digreffione ori-
ental!, diftare a Centro Saturni^ tunc Til 7°« 41' occupantis, tria Minuta
prima cum feptem Sscundis, Unde computo rite inftituto, fit ratio Diftan-
tise hi'jus Satellitis a Saturno ad Diftantiam Solis Z. Terray ut 8,z^ ad 1600,
e qu^ cjsterofum Diftantios ssftimari poterunt.
Sup.'
Supponit autem D. CaJJtttui Satellites quatuor Interiores fecundum Planum
Annali moveri, five eorum Orbitas ad Planum Orbis SAturni angulo triginta
graduum Inclinari : Saturm enirn juxta medium Sign. Geminorum 8r Sagit-
tarii exiftente, Annuli turn latiffime patentis Axis major fatis praecife duplus
invenitur minoris, ac Ellipfes femper Anriulari fimiles defcribere videntur hi
Satellites ; inq; maicimis fuis a Planeta digreflionibus, in Axe majori Annult
produfto reperiuntur : qus quidem fieri nequeunt, ni Satellitum Orbes cum
Annuli Piano eundem prnpemodum fitum haberent.
Nuper vero Annuli l^odos^ p.iEftaniiffimis Tclefcopiis & Oculis fane pluf-
quamLynceis, perfcrutatus eft piasclafus Ajlrommm D. Maraldm j ut in ^£iis
Jcad. Reg. Par ifienfis Annorum 1715 & (716 v id ere eft. Demonftrat enim
'Obfervationibus perquam lubtilibus, Planum Annuli Anno I7i5' interfecaffe
Planum O. bs Saturni ad G"ad. 9°. 45 Min. Virgiais 6r Pifcium j ac con-
ceffo Inclinationls Angulo 50 Grad. idem Annuli Planum cum Piano Eclip.
tica Gve Orbe Terr^ occurrifle ad id^T W^Hy fub Inchnarione 31°. 20'.
Ut itaq; ad datum Tempus cognofcantur accurate tam Elltpfeos Annu~
/j/^*f, quam earum quas Sacellitts defc ibunt, Pofitio, Species punftumq^ vere
Apgtetim & ^^erigteum, refolvendum eft Triangulum Sphaericum obliquangu-
lum, modo inter Prsccpta Calculi Latitudinum Jovialium fupra monftrato.
Cum auttm Latitude Terra refpedu Oi bis 5^^«^»/ vix unquam excedat
t][uartam gradus partem, ea in hoc negotio, haftenus parum explotato, tuto
negligi poteft, quafi in eodem Piano moveretur uterq; Pianeta. Pioinde e
loco Geocentrico Saturm fubducantur f Sig. 19°. 45', ac rcftabit Argumen-
tum Latitudinis; cum quo, in Tabula. Latitudh/aria Satellitum I. IT. III. IV
capiatur Inclinatio, qui eft Angulus quo radius vifualis a Terra, -id Saturnum
-duftus fuper Orbes Satelliium illorum inclinatur ; cuiiirq; Sinus eft ad Radium
ut minores Orbium appaientium Diametri ad majres: Ejuldemq; Speciei
fit Ellif\is Annuity Semicirculo Apogso Boream refpiciente il Argumenrum
Latitudinis minus fit fex Signis, Auftram vero fi ma jus. Addidimus etiam
T&haUm Redii^ionum.^ ad cognitionem veri Apogasi Satellitum, in tanta Piano-
rum Inclinatione, necelTario requifitam.
Q^intum autem & exteriorem Satellitem in Orbe a cseteris multum dlver-
fo circumferri, nuptjr deprthendit laudatus D. Caffinn^i Nodo ejus Afcen-
. dente apud 5°. co' Up, leperto, cum Angulo Inclinationis 15° tantum graduum,
. five prioris dimidio. Quapropcer huic etiam Tabuiam Inclinationum &
ReduQionim accommodavimus.
STNOP.
SYNOPSIS ASTRONOMI-E
C O M E T I C i£
QUA
COMETARUM
Ha6tenus debite obfervatorum
Motm in Orhe Paraholico
REPRiESENTANTUR:
E O R U M Q. U E
Qui Annis MDCLXXX & MDCLXXXII fulfcre
Poft certas Periodos redeuntiura,
Motm in Orhihm Ellipticts
accurate calculo fubjiciuntur.
LIU
t?\v)44M
SYNOPSIS
ASTRONOMIC COMETICC
VE T E R E S ^gyptii & Chdd^el, fiqua fides Diodoro Siculo, longa
obfervationum ferie inftrufti, Cometarum ^-nK^i praenuntiare valu-
erunt. Cum autem iifdem artibus etiam Terrie-cnotus ac Tempefta-
tes prsevidiffe dicantur, extra dubium eft Aftrologios potius calculo fatidico,
quam Aftronomicis motuum Theoriis eorum de his rebus fcientiam referen-
dam efle. Ac vix alia a Gr<scis utriufque populi vidoribus reperta eft apud
eos dofl:rina ; adeo ut earn, quam nunc eoufque proveximus Aftronomiam,
Gracis ipfis, prcefertim magno Hipparcho^ uti Inventoribus, acceptam debea-
mus. Apud hos vero ArifiotelU fententia, qui Cometas nihil aliud efle voluit
quam Vapores fublunares vel etiam Meteora aerea, tantum efFecit, ut haec
Aftronomicae fcientije pars longe fubtiliflima, omnino neglefta manferit; cum
hemini operse pretium vlfilm fuerit, vagas & incertas fluitantium in sethere
vaporum femitas adnotare fcriptifque mandare ; unde fadum ut ab illis nihil
certi de motu Cometarum ad nos tranfmiffum reperiatur.
Seneca, autem Philofophus, perpenfis duorum infignium fui temporis Co-
metarum Phaenomenis, non dubitavit iis loca inter Corpora cceleftia aflignare,
Sydera effe cum Mundo duratura exiftimans, quanquam Motus eorum legibus
nondum compertis regi fafeatur, Tandemque Vaticinio non irrito promittir,
aliquando futura fecula, quibus hsec tarn occulta dies extraheret ac longtoris avi
diligentia ; quibufque admirationi foret hsizVeteres nefcire potuilTe, poftquam
Demonjlraverit aliquis NaturtE Interpres in quibta Cxli partihtis Cometa: errent^
qtianti qualefque fint. Ab hac autem Seneca fententia in diverfas partes abiit
pene omnis Aftronomorum cohors ; ac ipfe Seneca neque Phaenomena MotuS
quibus opinionem banc tueretur, neque tempora adfcribere dignatus eft, quae
Pofteris ad hxc definienda ufui forent. Ac evolutis plurimis Cometarum Hi-
ftoriis, nihil omnino invenio quod huic negotio infer vire poffit, ante annum
aChriJlo nato 1337, quo Nicephorm Gregoras Hiftoricus 8f Aftronomus Con-
fiantinoyolitanus nobis Comet£E femitam inter Fixas fatis accurate defcripfit;
Tempora autem nimis laxe confignavit, ita ut non nifi quod abhinc quadrin,
gentis pene Annis apparuerit, lubricus & incertus hie Cometa Catalogo quern
damus
damus ioferi mereatuK Dein Gometa Anoi i47x omnium velociffimus ac
terris proximus RegiomotJtamm habuit obfervatorem. Hie magnitudine ac
Coma terribilis, unius diei fpatio 40 gradus fub circulo Coeli maximo emen-
fus eft, ac omnium primus eft de quo obfervata idonea ad nos pervenere-
Quotquot autem Cometas confiderarunt, ufque ad tempora Tychonis Brahe
magni illius Aftronomiae reftauratoris, cos fublunares effe autumarunt, adeoq;
parvi penderunt, utpote pro Vaporibus habitos.
Anno autem 1577, Tychone jam ftudio Aftrorum ferio incumbente, cora-
paratifque Machinis ingentibus pro dimetiendis cosli arcubus, majori cum cu-
ra & certitudine quam Veteribus fperare fas erat ; emerfit Cometa fatis con-
fpicuus, cui obfervando ftrenue fefe accinxit Tjcho : multifque & fidis Experi-
mentis deprehendir, nulli qux fentiretur Parallaxi diurnse obnoxium fuifle,
adeoque non tancum non fuifle Vaporem aereum, fed & etiam multo fupe-
riorem extitiffe Luna : Imo nihil obftabat, quin inter ipfos Planetas coUoca-
retur j fruftra interim contra obftrepentibus Scholafticorum nonnullfs.
Tychonis vero eximiam in obfervando induftriam excepit Kjfleri fagaciffi-
mum & pene divinum ingenium. Hie Tychonis laboribus fretus Syftema
Mundi verum & Phyficum adinvenit, ac fcientiam Aftronomicam in immen-
fum auxit ; Monftrato fc. Planetas omnes in Planis per Solis centrum tranie-
untibus revolvi, Curvafque Ellipticas defcribere, ea lege, ut Areae Seftorum
Ellipticorum, ad centrum Solis in Ellipfeos foco conftituti, teniporibus qui-
bus defcribantur arcus femper proportionales fint. Invenit etiam Diftantias
Planetarum a Sole qRq in fefquialtera ratione Temporum periodicorum, five
Cubos Diftantiarum efle ut Quadrata Temporum. Tanto autem Artifici af-
fulfere duo Cometas, quorum alter maxime illuftris. Ex horum obfervatis
conclufit Kj^krus, non uno Parallaxis annuas indicio, Cometas inter Orbes
Planetarum liberrime quaquaverfum ferri, motu quidem non multum a redi-
lineo diverfo, fed quem nondum definire licuit. Ac Hevelita Tychonis aemu-
lus, Kjpleri veftigiis infiftens, eandem Hypothefim Motus redilinei amplexus
eft, ipfe plurium Cometarum Obfervator perquam fubtilis. Cum Ccelo tamen
Calculum fuum non penitus confentire queftus eft, Viamque Cometicara
verfus Solem incurvari fuboluit.
Tandem de fummo Ccelo lapfus eft prodigiofus ille Cometa Anni 1 680,
quaft Cafu perpendiculari Solem petens, & exinde pari cum velocitate alTur-
gens : Hie per quatuor Menfes continuos vifus, infigni ac peculiars Curvitate
Orbitae ad inveftigationem Motus Theorias prae caeteris idoneus erat : Inftruftis
autem jampridem Regiis Obfervatoriis, Fariftenfi & Gremviemfj, ac Aftrono-
morum
morum Clarlffimorura curse commlffis, accldit ut hujus Cometae Motus ap-
parens, quantum forfan mortalibus fas eft, accuratiflime a Caf/ino & Flmfie'
4io obfervaretur.
Non multo poft, dutn Geometrarum facile Princeps D. Nevotonm ope-
ram dabac Fr'mcipis Phi/ofophia Mathematkis ; non folum Inventa IQpleri in
Syftemate Planetario neceflario locum habere demonftravit, verum etiam
Cometarum Phjcnomena omnia ex iifdem Principiis evidenter confequi. Id
quod exempio prxdidi Cometae Anni 1680 abunde illuftravit, modumque
docuit Geometrice conftruen4i Orbitas Cometarum ; Problemaque arduum
ac tanto Oedipo dignum fumma cum omnium admiratione folutum dedir.
Cometam autem hunc in Orbe ad fenfum Parabolico Solem circumiifle probat,
ita ut Areas ad Centrum Solis 3eftimat3s Temporibus proportionales fuerinf.
Tanti Viri veftigia infecutus eandem methodum Calculo Arithmetico ac-
commodare aggreflus fum, nee irrito conamine. Undique enim conquifitis
Cometarum Obfervationibus, Tabellam banc, immenfi pene Calculi fruftum,
obtinui j exiguum quidem fed non ingratum Aftronomis munus. Hi etenim
Numeri vim habent omnia quae de motu Cometarum hactenus obfervata funt
fat accurate reprssfentandi, ope folius Tabula Generalis infequentis, cui
adornandos nullis fane peperci laboribus, ut perfefta prodiret, utpote Pofte-
ritati confecrata ac cum Scientia Aftronomica duratura.
Conftat autem base Elementorum Tabula dccem columellis, quarum Pri-
WA habet Annos quo vifi funt Cometae. Secunctx ac terth fitus Planorum
Orbium Cometicorum exhibent, nempe quibus Eclipticos punQis Nodi Ki-
cendentes temporibus apparitionum hcerebant, & quo Angulo ad Planum
ejus inclinabantur Orbes. Quarto, habet Loca Periheliorum, five Verticum
Orbium Parabolicorum in Orbibus ipfis aeftimatce. Qainta. dat diftantias mi-
nimas Cometarum a Sole in Periheliis fuis, in ejufmodi partibus quales
media Solis a Terra diftantia habet centies millenas. In Sexto, habentur
'Logarithmi rationum iftarum diftantiarum ad mediam illam Solis diftan-
tiam. Sept-imo continet Logarithmos mediorum motuum diurnorum, tem-
pore quo peragit Cometa nonaginta gradus Qrbis fui a Perihelio in cen-
tenas partes dividi fuppofito. Ocfava ex-hibet tempora lequata Periheliorum
in Meridiano Londinenfi & Stylo Juliono. Nono dat Angulos in planis Orbi-
um inter Perihelia & Nodes Afcendentes interceptos, quorum ope pauIo pa-
ratior fit calculus. Decima deniqj monftrat qui moti fuerant Cometae fecun-
dum Seriem Signorum, qui veto e contra Retrogradi fuerant,
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TJBVLJ GEN ERJLIS MOTVVM CO METARVM
IN ORBE PARA BO L ICO,
Med.
Mot
Com.
Angulus <!
Perihelia.
1314°
3 3 15
4 34 43
660
7 37 I
9 7 43
10 38 2
12 7 54
13 37 17
15 5 7
30 33 40
31 52 32
33 10 23
34 27 12
35 42 59
55 57 41
38 II 20
39 23 54
40 35 23
41 45 47
Differen-
tia An-
guhrum.
31 40
31 35
31 28
31 17
31 I
3042
30 19
29 52
29 23
28 50
28 13
27 34
26 53
26 7
25 20
24 30
2338
22 46
21 47
20 52
19 53
18 52
17 51
16 49
15 47
1442
13 39
12 34
II 29
10 24
Logarith-
mus fro di-
flantid a
Sole.
0,000000
0,000077
0,000309
0,000694
0,001231
0,001921
0,002759
0,003745
0,004876
0,006151
O5O07564
0,0091 15
0,010798
0,012609
0,014550
0,016607
0,018783
0,021072
0,023470
0,025969
0,028570
0,031263
0,034045
0,036916
0,039864
0,042892
0,045989
0,049154
0,052382
0,055668
0,059009
rentia
Loga-
rithm.
77
232
385
537
690
986
1131
1275
1413
1551
1683
1811
1941
2057
2176
2289
2398
2499
2601
2693
2782
2871
2948
3028
3097
3165
3228
3286
3341
Med.
Mot.
Com.
Angulm a
Perihelio.
41 45 47
42 55 6
44 3 20
45 10 29
46 16 35
47 21 36
4« 25 33
49 28 27
50 30 19
51 31 8
52 30 56
53 29 44
5427 32
55 24 21
56 20 12
57 15 6
58 9 3
59 24.
59 54 "
60.45 25
61 35 45
62 25 14
63 13 52
64 I 40
6448 38
^5 34 50
66 20 13
67 4 50
67 48 42
68 31 50
69 14. 16
Differen-
tia An-
gulorum.
I 9 19
I 8 14
I 7 9
I 6 6
I 5 I
I 3 57
I 2 54
I 1 52
I o 49
o 59 48
o 58 48
o 57 48
o 56 49
o 55 51
o 54 54
o 53 57
o 53 I
o 52 7
o 51 14
O 50 20
o 49 29
o 48 38
04748
o 46 58
O 46 12
045 23
044 37
043 52
o 43 8
o 42 26
Logarith-
mus pro di-
ftantia ti
Sole.
0,059009
062400
065838
069319
072839
oj6^96
079984
083600
087244
090910
094596
098300
102019
105752
109490
1 13240
II 6995
120756
124518
128278
132035
135792
139544
T43291
147029
150762
154482
158192
161890
165578
169254
Diffe-
rentia
Loga-
rithm.
3391
3438
3481
3520
3557
3:
3616
3644
3666
3686
3704
3719
3733
3738
3750
3755
3761
3762
3760
3757
3757
3752
3747
3738
3733
3720
3710
3^98
3688
3676
TJBVLA GENERA LIS MOTVVM CO METARVM
IN ORBE PARABOLIC 0.
Med.
Mot.
Com.
60
90
Angulus ^
Perihelia.
14 16
69 5 5
70 35
71 17
71 56
72 35
73 14
73 51
74 29
75 5
75 41
76 16
76 51
77 25
77 59
7832
Differen-
tia An-
19 .5
79 37
80 9
80 40
81 II
81 41
82 II
82 40
83 9
83 38
84 6
H 33
85 I
85 27
85 54
o 41 42
o 40 58
o 40 20
o 39 40
39 I
38 18
37 4^
37 7
36 32
35 57
35 21
34 47
34 14
33 4^
33 13
o 32 42
o 32 9
o 31 39
o 31 10
o 30 42
o 30 15
o 29 48
O 29 21
o 28 54
o 28 30
o 28 4
o 27 41
o 27 1.6
o 26 53
o 26 29
Logarith-
mus fro di-
flantid a
Sole.
0,1692 H
0,172914
0,175557
0,180188
0,183803
0,187404
0,190978
0,194540
0,198085
o,2oi5i4
0,205122
0,208612
0,212080
0,215529
0,218963
0,222378
0,225772
0,229143
0,232490
0,235819
0,239127
0,242416
0,245684
0,248933
0,252159
0,255366
0,258552
0,261720
0,264865
0,267989
0,271092
Diffe-
rentia
Loga-
rithm.
3660
3^43
3631
3615
3601
3 574
2562
3545
3529
3508
3490
3468
3449
3434
3415
3394
3371
3347
3329
3308
3389
3268
3249
3226
3207
3186
3168
3T45
3124
3103
Med.
Mot.
Com
96
91
98
99
100
104
106
108
no
112
114
116
118
1 20
122
124
126
128
130
132
134
136
138
140
Angulus
Perihelio.
.85 54 27
^6 20 34
86 46 20
87 II 43
87 3^45
88 I 27
88 25 48
88 49 48
89 13 30
89 36 54
90 o o
90 45 14
91 29 18
92 12 14
92 54 4
93 34 52
94 14 40
94 53 30
95 31 22
96 8 22
96 44 30
97 19 4'"^
97 54 17
98 28 o
99 o 57
99 33 II
100 443
100 35 35
loi 5 48
loi 35 22
102 4 19
tia An-
gulorum.
26 7
25 46
25 23
25 2
2442
24 21
24 O
2342
23 24
23 6
o 45 14
044 4
o 42 56
o 41 50
o 40 48
o 39 48
o 38 50
o 57 52
o 37 o
o 36 8
o 35 18
o 34 29
o 33 43
o 32 57
o 32 14
o 31 32
o 30 52
o 30 13
o 29 34
o 28 57
Logavith-
mus pro dz-
Jlantid a
Sole.
0,271092
0,274176
277239
280284
283306
286308
289291
292251
295195
298122
30I030
306782
3 1 2460
318060
323587
329042
334424
339736
344979
350153
355262
360306
365284
370500
375052
379844
38457^
389250
393868
398428
402930
TABVLA GENERJLIS MOTVVM COMETARVM
IN ORBE PARABOLICO,
Med.
Mot.
Com.
140
142
144
146
148
150
152
154
156
158
160
162
164
166
168
170
172
174
176
178
180
Til
184
186
188
190
Angulus d
Perihelio.
102 4 I5>
102 32 41
103 o 31
103 27 47
103 54 31
104 20 43
1 04 46 22
105 II 33
105 36 16
106 o 32
106 24 23
106 47 47
107 10 44
107 33 17
107 55 27
108 17 14
192
1 94
196
198
2-00
Diffe-
rentia
Angu-
lorum.
111 54 5
112 II 58
112 29 34
112 46 55
113 4 o
27 50
27 17
2644
16 12
25 39
25 II
2443
24 16
23 51
23 24
22 57
22 35
22 10
21 47
21 24
21 2
20 41
20 20
20 o
19 40
19 21
19 5
18 44
18 27
18 ic'
17 53
17 36
17 21
17 5
Logarith-
mus pro di-
flantid d
Sole.
0,402930
0,407380
0,411784
0,416132
0,420430
0,424676
0,428866
0,433012
0,437110
0,441164
0,445178
0,449144
0,453060
0,456936
0,460772
0,464567
0,468518
0,472030
0,475705
0,479340
0,482937
rentia
Loga-
rithm.
0,486498
0,490022
0,493512
0,496965
0,500384
0,503769
0,507121
0,510441
0,513729
0,516984
4450
4404
4348
4298
4246
4190
4146
4098
4054
4014
3966
3916
3876
3836
S795
3751
3712
3675
3655
3597
3561
3524
3490
3453
3419
3385
3352
3320
3288
3255
Med.
Mot.
Com-
204
208
212
216
220
224
228
232
236
240
244
248
252
256
260
264
268
272
276
254
288
292
296
300
310
320
330
340
350
Angulus a
Perihelio.
113 4 o
113 37 25
114 9 52
114 41 23
115 12 2
115 41 51
116 10 52
116 39 7
117 638
117 33 27
117 59 35
118 25 5
118 49 57
1 19 14 14
119 37 56
120 I 6
120 23 44
120 45 52
121 7 30
121 28 39
121 49 22
122 9 3
122 29 2S
122 48 5^,
123 757
123 26 3fc
124 II 40
12454 3
125 35 34
126 14 44
126 52 12
Diffe-
rentia
Angu-
lorum.
33 25
32 27
31 31
30 39
29 49
29 I
28 15
27 31
26 49
26 8
25 50
24 52
24 17
23 42
23 10
22 38
22
8
21
38
21
9
20
43
20
16
19 50
19
26
19
3
18
39
45 4
42 56
40 58
39 10
3728
Logarith-
mus pro di-
jlantid d
Sole.
0,516984
0,523406
0,529705
0,535886
0,541958
0,547922
0,553782
0,559538
0,565199
0,570762
0,576233
0,581616
0,586912
0,592 122
0,597252
0,602301
0,607274
0,612174
0,616998
0,621750
0,526438
0,631056
0,635608
0,640098
0,644525
0,648893
0,659559
0,669880
0,679876
0,689568
0,698970
Diffe-
rentia
Loga-
rithm.
6422
6299
6181
6072
5964
5800
5756
5661
5563
5471
5383
5296
5210
5130
5049
4973
4900
4824
475;
4688
461J
4552
4490
4427
4368
ic666
10321
9996
9691
9402
N n n n
TABVLA GENERJ LIS MOTVVM COMETJRVM
IN 0 RBE PARABOLICO.
Med.
Mot.
Com.
350
360
370
380
390
400
410
420
430
440
450
460
470
480
490
500
Angulus ti
Perihelio.
520
540
560
580
600
620
640
660
680
700
720
740
760
780
800
126 52 i:
127 28 6
128 2 33
128 3J 38
129 7 27
129 38
130 7 34
130 35 2
131 3 30
131 30 2
131 55 4^
132 20 30
132 44 32
133 750
133 30 25
133 52 20
134 34 18
135 13 56
135 51
n6
37
28
7 6
o 57
137 33 13
138 3 58
138 33 21
139 I 29
139 28 25
139 54 16
140 19 5
140 42 56
141 5 55
141 28 3
Diffe-
rentia
Angu-
loYum.
Logarith- \Di^-
miis fro di- rentia
jlantid a Loga-
Sole. rithm.
35 54
34 27
33 5
31 49
30 37
29 30
28 28
27 28
26 32
25 39
2449
24 2
23 18
22 35
21 55
41 58
3938
37 32
3538
33 51
32 16
3045
29 23
28 8
2(5 56
25 51
2449
23 51
22 59
22- 8
0,698970
— ~ 9134
0,708104 gg
0,716-976 ..^
0,716-976
0,725606
0,734006
0,742186
0,750160
^757930
0,765516
0,772918
0,780148
0,787216
°'f °S^^ 6612
0,807494 ^
0,813969 ^^^5
2.553
2061
1 1 604
,826522
,838583
,850187
,861369
.872155
8630
400
180
7974
7770
7586
7402
7230
7068
6910
0,8
10786
10420
1 0074
9752
9449
9162
8895
°'^^f °7 8642
°'^38549 8402
0,946951 8173
0,955124 „g(^
0,963082 7950
-J82575
0,892649
0,902401
0,911850
0,921012
Med.
Mot.
Com.
»00
820
860
880
900
920
94
960
980
1000
Perihelio.
Dijeren-
tia An-
gulorum.
Logarith-
mus fro di-
antiJ a
Sole.
141 28
141 49
142 10
142 29
142 49
143 7
143 25
143 43
144 o
144 16
144 32
1500
2000
2500
3000
3500
4000
4500
5000
5500
6000
6500
7000
7500
8000
8500
149 26
152 26
154 32
156 7
157 22
158 24
159 16
160 I
160 40
161 14
161 45
162 12
162 37
163 o
163 21
9000
163 40 42
9500
163 58 38
loooo
164 15 20
50000
170 52 0
looooo
172 45 44
O 21 21
o 20 36
19 56
19 14
18 38
18 3
17 30
16 57
16 28
16
4 53
3 o
2 6
I 35
I 15
1 45
52 2
44 36
3853
34 19
30 36
27 34
25 o
22 49
20 57
19 22
17 56
16 42
3640
53 44
0,963082
970836
978397
985771
992970
000000
006871
013586
020155
026583
032876
158188
246058
313703
368678
414973
454924
490125
521521
549874
575718
599460
621Z1
641838
660922
678834
695708
7 II 662
726784
197960
399655
23741
11957
204ZI
19084
17912
16874
15954
I5I2Z
471176
tahU Generalis Conflrii^io S Ufus^
UT PlanetGs in Orbibus EUipticis, ita Cometos ( ut diftum eft ) in
Parabolicis Solem in Foco communi fitum ambiunt, ea lege ut Areje
sequales squalibus temporibus defcribantur. Quoniam vero Para-
bolas omnes funt CurvK fimiles, fi edudis e Foco reflis, determinata aiiqua pars
ArexParaboljE cujufvis dividatur utcunque, in omnibus Parabolis fiet fimilis di-
vifio fub iifdem Angulis, ac diftantias a Foco erunt lefpeftive proportionales:
Proinde una noftra Tabula pro Cometis omnibus fufficiet. Calculi autem
hujus Tabulae hsec eft ratio. In Schemate fit S Sol, P O C orbita Comet%
P Perihelion, O Locus ubi Co-
meta quadrante diftat a Perihe-
lie, C Locus quivis alius. Junge
CP, CS, ac fiant ST, SR
sEquales ipfi CS, & duftis re£lis
CR, CT, (quarum altera tan-
get Curvam in C, altera vero
eidem perpendicularis erit ) in Axem P S R demitte normalem CQ. Jam
data area quacunque COP S — ^, opprteat angulum C SP & diftantiam C S
inquirere. .
Quoniam ob naturam Parabok re£la RClubiqjssqualis eft dimidio Lateris
refti, ponatur Latus re£lum = z, adeoq; RQ_ = i ; ac fit C Q_— ^, pro-
inde PQ.= i^s, ac Segmentum Parabolicum COP — -rV.2«-s,- Tri-
angulum autem CSP erit —^z.\ Unde Area mixtilinea COPS eric
r= -V ^' -I- T •^:^ = ^j ac s.^ -{- 3 a 3= I z <?, Q_uare refoluta hac squatione Cu-
bica, & five ordinatim applicata C Q.innotefcet. Proponatur jam Area OPS
in partes centefimas dividends. HrEC Area duodecima pars eft quadrati e
Latere redo, adeoq; iza. a&quantur quadrato illo = 4. Si itaque fucceffive
extrahantur radices a;quationum s,' H- 3 ^. ~ 0,04: 0,08 : 0,12 : o^i^ &c^
habebuntur totidem z, five ordinatim applicatas C Q^refpedlive, ac div'fa erit
Area SOP in partes centum asquales. Eodemq; prorfus modo continuan-
dus eft calculus ultra Locum O. Cum autem RQ. fit = i, radix hujus
^quationis fit Tangens Tabularis anguli CRQ^five dimidii anguli CSP,
adeoq; angulus CSP datur. Ejufdemq; anguli CRQ^Secans RC media
proportionalis eft inter RQ,— 2PS & RT quae dupla eft ipfius SC, ut
ex Conicis notiffimum eft. Eft igitur S P ad SC in duplicate ratione Radii
ad Secantem anguli dimidii a Perihelio Cometas ; vel fi mavis, in ratione quara
habet Sinus Verfus anguli CSR, five anguli ab Aphelio Comets, ad Dia-
metrum
taiuU Generalis ConftraSio & Ufus.
metrum Circuli. His jaftis fundamentis praecedentem Tabulam elaboravi, re-
prgefentandis omnium Cometarum motibus infervientem : Nullus enim ex
hadenus obrervatis motusParaboliciXeges quoad fenfum recurat.
Reftat jam prscepta Calculi tradere, moduraq; fupputandi locum Cometjg
vifum ex his Numeris exhibere. Cometce autem in Parabola moventis Ve-
Jocitas ubiq; eft ad velocitatem Planetae gyrantis in Circulo circa Solem, ad
eandem a Sole diftantiam, utVz ad i.; ut conffat ex Prificipiis Philof Nat.
Math. Lib. I. Prop. \6. CoroH. 7. Si itaque Cometa in Perihelio ad di-
ftantiam aequalem diftantiae Terrae a Sole fupponatur, foret Area diurna a
Cometa defcripta ad Aream quam defcribit Terra ut /x ad i, ac proinde
tempus Anni fiderei, five 365^- 6'^- 9', ad Tempus quo Cometa talis de-
fcriberet Quadrantem Orbitss fuse a Perihelio, five Aream fpatio POS ana-
logam, ut Area CircuH five 3,14159, &c. ad Aream parabolicam = |x/i
— f 1^ 2,- Cometa igiturdeicriberet quadrantem ilium Diebus 109°- 14*^- 46',
atq; adeo Area ilia Parabolic^ ut POS in centum particulas diftribut^, fin-
guiis Diebus competunt particulae 0,912x80, cujus Logarithmus nempe
9,960118 in perpetuum ufum fervandus. Tempora autem quibus Come-
ttB in diftantiis majoribus vel minoribus Quadrantes fimiles defcriberent,
fuBt ut Revolutiones in Circulis, hoc eft in fefquiplicata ratione Diftantia-
rum ; adeoq; Arese diurnae in partibus centefimis Quadrantum ssftimatss (quas
quidem Centefimas medii Motus menfuras, inftar graduum Anomaliss, po-
nimus) funt in fingulis in fubfefquiakera ratione Diftantiarum a Sole in
Perihelio.
His neceffario prsemiffis proponatur alicujus e Cometis noftris Locum vifum
ad datum Tempus fupputare. Ac primum habeatur in promptu Locus So-
iis ab ^quinoftio, cum Logarithmo Diftantiae ejufdem a Terra. 2°. Capi-
atur intervallum Temporis inter Tempus datum & Tempus Perihelii e co-
lumna o£tav^ Elementorum lumptum, in Diebus 8? Diei partibus decimalibus.
Hujus numeri Logarithmo addatur Logarithmus conftans 9,960128 ac com-
plementum Arithmeticum fefquialterius Logarithmi Diftantias Perihelia a Sole
Summa erit Logarithmus medii Motus Cometh in prima Columna TahuU Ge-
nerdlis quasrendi. Idem autem compendiofius habetur ope Logarithmi medii
Motus Diurni in Columna feptima, Logarithmo Temporis fimpliciter addendi.
3'^ Cum'Motu medio capiatur in Tabula correfpondens angulus a Perihelio, &
Logarithmus pro Diftantia a Sole : Ac in Cometis Direftis adde, in Retro-
gradis fubduc, fi fuerit Tem^pus poft Perihelion j vel in Diredis fubduc
& in Retrogradis adde, ft fuerit ante Perihelion, angulum fic inventum a
loco vel ad locum Perilielii in columna quart^j & habebitur Locus Come-
^ use
TahU Generalis ConflrtiBk S Ufiis.
tae in Orbe proprio. Ac ad Logarithmum pro Diftantia ibidem inveritum
addatur Logarithtnus Diftantiae Periheiiae ( Colum. VI. ) fumma erit Logarith-
mus Diftantias verse Cometae a Sole. 4°. Cum loco Cometas in Orbita, datb
loco Nodi ( Colum. II. ) capiatur Diftantia Cometae a Nodo ; ac dat^ Incli-
natione Platii (Colum. III.) dabuntur, notiffimis Trigonometric praeceptis,
locus Cometgs ad Eclipticam reduflus, cum Inclinatione five Latitudine He-
liocentric^, ac Diftantias curtatoe Logarithmus. 5^ Ex his datis, iifdem om-
nino Regulis quibus loca Planetarum, ex dato loco Sc Diftantia Solis obtine-
bitur Cometae locus vifus feu Geocentricus, cum Latitudine vifl Hoc autem
Exempio uno vel alrero forfan opsrse pretium erit illuftrare.
E X E M p L. I. Quseritur Locus Comets Anni iddi Martit i^
eft p5". ip
Log. difl. Perihel.
Log. Sefquiak.
Comp. Arith.
Log. Temp.
Log. Med. Mot.
j\ 00'. P. M. Hoc
celebratum.
o. 01 1044
o.oi6')66
9-9^3434
p..p6oi28
1.985852
1.929424
Medim Motus 85, 001
poft Perihelion ejus Novemb. 24°. 11". 5 2
Perihel. Si 10. 41.25 Log pro difi. o. 2553<?9
Ang. Correfp. 83. 38. 05— Log. Perihel. o. 011044
Com. in Orb. ^ 17. 3.20 Co-Jiit. Incl. 9.990I54
fi IE 21. 14.00. Log. difl. Curt. 0.257167
Com. ^ Nodo 34. 10. 40. Log. difl. Q 9. 991939
Red. ad Eclip. 32. 19.05. O X 2 1 . 44. 3 5
Com. Helioc. if 18. 54. 5 5- ^*"^- ^^^' ""^ ^^" ' ^' ^^" «
Jnc'in. Boy. 1 1. 46. 50. -^«^- ^if^ ^. 36. 15. £or
E X E M p L. II. Qusritur Locus Gometse Anni 1683 JulH
Londini. Vel 13^. 40'. Temp, xquat. Hoc eft 21 '^
Log. difl. Perihel.
Log. Sefquiah.
Comp. Arith.
Log. "Temp.
Log. Med. Mot.
9- 74^343
9- 622514
o. 377486
9. 960128
J- 3107^3
1.648337
Medius Motus 44, 498
Perihel. in 25. 29. 30
Ang. Correfp. 56. 47. 20
Com.inOrb.T 28.42.10
1? X 23. 23. 00
Com. « V 35. 19. 10
Red. ad Eclip. 4. 48. 30
Com. Helioc. X 28. 1 1. 30
Inclin. Bar. 35. 2. 00
lo"". 50.' poft Perihelion.
Log. pro difl. o. 11133(5
Log. Perihel. 9. 748343
Co- fin Inclin. 9.913187
Log. difl. Curt. 9. JJ2S66
Log. difl. 0 o. 006062
© Locus Si io. ^p. 14
Com. Vifus ss' 5. II. 28
Lat. Bor. 28. 52, 13
Hora autem primi Exempli, feorfim obfervatum eft ab Juzoutio k P. Got'
tignio Cometam applicari ad Stellam fecundam Arietis ; ita ut novem vel de-
cern minutis ill^ borealior repertus fit, quoad longitudmem vero quafi con*'
junftus. In fecundo autem Exempio ipfe, in vicini^ Londini, Inftrumentis
quibus olim Stellas Auftrales obfervaveram , Cometae locum deprehendi
S. 5°. ii'4, cum Latitudine Boreali 28°. 51' ; confentiente ad amullim ob-
fervatione Gremvicenft eodem pene momento fada.
Cometa autem Anni 1680, qui pene Solem attigit, (non enim triente
femidiametri corporis Solaris a fuperficie ejus diftabat in Perihelio } cum Latus
O 0 o o reOium
'tahU Generalis Conflrii^io & Ufiis.
i'e£lum exiguum admodum fit, Tabula Generali baud coerceri potuit, ob
immanem Motus medii velocitatem : Prasftac itaque in hoc Cometa, poft-
quam inventus fuerit Motus ejus medius, ex eodem, ope prsecedentis sequa-
tionis s' -i~ 3 « = -i^ Mot. md. Tangentem dimidii anguli a Periheiio elicere,
una cum Logarithmo pro diftancia a Sole. Quibus datis iifdem omnino
i'egulis ac in cseteris procedendum ell.
Ad hunc itaque modum Aftronomico Leflori examinare licet numeros a^
me pofitos, quos rumma cura ex obfervationibus quae fuppetebant exantlavi ;
neque enira, antequam probe ad incudem redafti fuerant, ac multo ftudio
quantum fieri poffit politi, in publicum prodiere. Mbnendus autem eft
Leflor, quinque priores ordine Cometas, quorum tertius &: quartus eft a Pe-
tro Jpiano obfervatus, quintus vtvo a. Paalo Fahicio, uti & decimus i M-
chaele Mcejllmo Anno is^6 confpeftus, non eundem certitudinis gradum cusa
reliquis pras fe ferre : neque enim debitis organis nee cmiad hoe requifita
©bfervationes ipfse psradgs funt ; adeoque inter fediOTidentes nullo modo cum
eompuco regular! conciliari pofTunt. Cometam Anni 1684 unus vidit CK
Btanchiftus Ohkrv2.tov Romanus : uhimum vero Anni fc. 1698 Parifie»Jes foli
eoafpexerunt, ejufque curfum infolito modo defignarunt. Obrcurus hie ad-
modum, eciamfivelox ac Terris fatis vicinus, noftros fane Oculos alioquin
aon incuriofos eifugit. Infignes autem duos hac noftra estate Cometas, ,al-
rerum Anno \6%^ Menfe Novembri ortura, alterum Menk Fefruano Anni
170Z, Caralogo fubjungere non licuir, propter defeftum Obfervationurn.
Etenim verfus Mundi plagas Auftrales curfum dirigentes, ac in. Europa vix
coflfpicui, contemplaEores non habuere negotio pares.
CoUatis autem inter fe horum Gometarum motuum Elementis, videre eft"
nullo ordine difpofitos effe Orbitas ; neque ipXos, Planetarum more, Zodiaco
eomprehciidi poffe, qtiaquaveiTum tarn Retrograde quam Direde indifFersn-
ter^latos: unde manifeftum eft eos Motu Vorticali nullo modo circumagi»
Quinetiam diftantiss Peiihelia; nunc majores nunc minores reperiuntur ; unde
pronum eft fufpicari etiam muko plures efle Cometas, qui in partibus a Sole
remotioribus,. obfcuri caudaque dtftituti, adeoque nobis inconfpicui, praecer»
labi poiTunc.
Hadenus Gometarum Orbes conflderavimus ut perfe£te Parabolicos j qua
fuppofito confequeretur Cometas, Yi Centripeta verfus Solemimpulfos, a fpa-
tiis infinite diftantibusdefcendere, cafuque fuo velocitatem tantam acquirere,
utiterum infpatia Mundi remotiffima fefe abderepoffint, perpetuo nifu fur-
fiim tendentes, nee ad Solem unquam reverfuri. Cum autem fatis frequen-
tes fint Gometarum adventus j ac eorum nullus reperiatur motu ferri Hyper=
bolicoj
Be Mot a Come tar mi in Orhihm Ellipticis.
bolico, feu velociore quam cadendo ad Solem acquirere debaat, credibile eft
potius in Orbibus valde Eccentricis eos revolvi ciixa Solem, ac poft longifli-
mas Periodos reverti. Sic enim Numerus eorum pigsfinitus eflet, ac fortalTe
non ufque adeo magnus, Spatia autem inter Solem Fixafque tanta funt, ut
Gometse revolventi cum Periodo quantumvis longA fatis loci fit. Latus au-
tem redum Ellipfis eft ad Latus reftum Parabolss eandem Periheliam diftan-
tiam habentis, ut diftantia Aphelia in Eilipfi eft ad Axem totum Ellipfeos ;
Velocitates autem funt in dimidiata ratione Laterum redtorum : quapropter
in Orbibus valde Eccentricis ratio base accedit proxime ad rationem aequali-
tatis. Tantilk autem differentia quae intercedit, ratione majoris in Parabola
velocitatis, facillime in fitu Orbis determinando compenfatur. Tabulae itaq;
Elementorum Motuum ufus praecipuus eft, atque etiam propter quern illam
conftruere operas pretium duxi, ut, fiquando novus Cometa emerferit, poffi-
mus collatis Elementis dignofcere an poterit t^Q aliquis ex antiquis, necne ;
ac proinde Periodum Orbitseque Axem determinare, reditumque prasdicere.
De^ MotuCometarum in OMm Ellipticis»- .
COnfeda jam ante plures annos Elementorum Tabula praemilTa, fta-
tim fubodoratus fum, ex fitu confimili Flanorum 8c Periheliorum^
unum eundemq; fuifl'e Cometam tertia vice in Orbe Elliptico revo-
lutum, qui annis 1J31, 1607, & 1682-confpefti funt. Verum cum Perio-
dorum & Inclinationum diverfitas aliquanto nimia huic noftrx fufpicioni
adverfari videretur, ao ^riorum Jpiam S? /C^/'/eri obfervata parum accurata,
ne dicam rudia, tarn fubtili negotio enucleando vix paria elTe judicarem ;
contentus eram, cum banc Synopfin prima vice, anno fc. 1705, ederem,
conceptus hos meos, aliqua faltem probabiliratis fpecie fukos, indicalfe; Pofte-
rofque ut reditum ejus, juxra annum 1758 expeftandum, fedulo prasftolaren-
tur monuifie. Foftea vero quam, evolutis Cometarum antiquiorum Catalo-
giSjTres alios deprehenderam, eodem plane ordirie, paribufqj temporis inter-
vallis, didos Tres praeceffiiTe (nempe anno 1305 circa Pa/dam, anno 1380
fed incerto Menfe, ac deinde anno i^s6 Menfe Jumo") priorem fententiam
paulo audentius tueri ccepi : Et compos faftus methodi qua calculus in Or-
be Elliptico quantumvis Eccentrico accurate &- perfacile abfolvitur, loco Or-
bis Parabolici Cometss anni i68i inter Elementa defcripti, Eilipfi Magni.
tudine & Specie datas, in cujus Foco Sol, ad Eclipticae planum Terrjeq; in
si motum ita Pofitionem coaptare aggreifus fum? ut omnia I>' FlmfieM de
hoc
De Motti Cometaruvi in Orhihm Ellipticis.
hoc Cometa obfervata, praegrandi ac peraccurato Sextante capta, Sr a Re-
fraftionibus debite purgata, Theoriam noftram computi rigorofi examini
fubje6:am abunde comprobarent.
Manifeftum autem eft duas hujus Cometae Periodos CLI annis proxime
peragi, fingulas vero alternatim majores & minores provenire LXXVI &
LXXV annorum circiter : Proinde fumpta Periodo media feptuaginta quinq;
cum femifle annorum (per Prop. ly. Lib. I. Prmcip. Philof. Natur,') fit femi-
2
axis major Orbis Cometce ad mediam Terras a Sole diftantiam, ut 754.T, hoc
eft uc 17,853 J ad i. Inventa autem diftantia Perihelia obfervationibus maxime
congrua partium iftarum 0,58x^5 fit Eccentricitas Orbis 17,2810, unde femi-
axis minor 4,5246. Hujus Ellipfeos Planum ad Planum EclipticjE inclina-
tum reperi angulo 17°. 42', Nodumque habere afcendentem ad ^ 20'. 48';
Perihelion vero Comets, in hoc Piano Retrogradi, ad X^ i". 36', five 109°. iz'
poft Nodum Afcend. Et Tempus aequatum Perihelii Sepemb. 4». 2i''- 22',
Motus autem medius ejus diurnus pars erat — Motus medii diurni Solis,
five o». o'. 47" quam proxime j & exiftente radio i, arcus o'. 47'' longi-
tudo, hoc eft 0,000227843, eft ut Motus diurnus Comets in extremitate
Axis minoris, 8c earn habec rationem ad circumferentiam Circuli, quam ha-
bet dies unus ad Tempus Periodicum, quamq; habet Area Elliptica, quoti-
die radiis ad Solem dudis intercepta, ad Aream totius Ellipfeos ; quamque
proinde commode pro menfur^ Motus medii Cometas ufurpari poterit. Hu-
jus itaq; Logarithmus 6,357636, Logarithmo Temporis a Perihelio additus,
dat Logarithmum medii Motus ad datum Tempus, five rationis Ares, inter
locum Cometas in Orbe fuo ac Perihelion radio ad Solem dudo abfciffo,
ad Aream totam Ellipfeos.
Componitur autem h«c Area e duabus, nempe ex Area Trianguli cujus
Bafis eft diftantia Perihelia Cometae & altitudo ordinatim applicata, & ex Area
Segment! chorda de vertice Ellipfis ad Cometam dufld intercept!: Id quod
fortaffe nonnullis utile erit Schemate plenius exponi.
Orbis Cometas Elliptic! PBH fit CP femiaxis major, CHfemiaxis mi-
nor, PA circulus Ellipfi circumfcriptus, & S Focus; unde PS diflantia Peri-
helia & CS Eccentricitas Orbis. Sit Cometas locus in B, a quo ducatur or-
dinatim applicata ad Axem B D, quts produfta occurrat circulo in A, ac
jungantur rea» AP, ASj BP, BS j & in du6U CA fiat CE ipfi CS
gequalis, & fit ad axem nortnalis EG» Jam conftat ex probatiffimis ]<jpleri
■ inventis
Be Motu Come tar urn in Qrhibm Ellipticis.
inventis, areara PSAP efle ad aream totam Circuli, pariterq; PSBP ad
aream totam ^llipfeos, ut Tempus quo defcriberet Cometa arcum B P ad
I'empus Periodicum quo revolutionem integram in Ellipfi perageret. Area
autem PSAP conflatur e Segmento
Circular! A P A &: Triangulo PSA,
cujus quidem Trianguli duplum eft
PS X AD Sinum anguli ACP ; Seg-
menti vero duplum eft exceffus arcus
A P fupra Sinum A D in radium C P
duflius. Ponatur Radius CP= i,
& dicatur PS = ^, & data area qua-
libet PA S P = 4, quasratur A D = -c
Sinus Anomalix Eccentri ACP. Eft
autem zb duplum Trianguli PSA;
ac juxta Theorema notiffimum, arcus
Circularis A P = s -h ^ «' 4- ^V ^^ -f
menti PA P fie 4- ^' -+- t'-^^ H- —^ ^T,
-t- ^_. ^5 4- _4_ zP^
C
&c. Unde dupla area Seg-
Ac proinde za'—bz.+^z?
'^c. Extraft^ autem hujus aequationis Radice z., datur
Anomalia Eccentri ACP, ejufqj Sinus Verlus PD: ac fi fiat ut CPad CS
ita PD ad SG, PG = SG-4-PS erit ipfi BS diftantise Cometos a Sole
ssqualis. Denique fiat ut C P ad C H ita A D ad B D, qui f-nus erit Ano-
malis verae five anguli PSB ad radium BS.
Extraflio autem Radicis ex hac Kquaiione minime obvia eft, nee genera-
liter in omni cafu nifi tentando eiBcienda. Quocirca ad levandam Calculi
moleftiam, Tabulam fequentem, ejufdem pene formss cum Tabula Generali
pro Motu Parabolico, juxta jam expofita principia concinnavi ; cujus ope Co-
metas anni i68z Obfervata omnia Grenovicen[ia, latis apte reprosfentantur.
Verum in hac Tabula condenda ufus fum artificio quale Kjplerin in Ta-
bulis fuis Rudol^hmis adhibet. Ponendo enira angulum Anomalis Eccentri
ACP osquabiliter augeri, in fecunda Columna fub titulo medii Motus ba-
betur dupla Area Spatii mixtilinei PASP, compofita ex differentia arcus AP
& Sinus AD in Radium CP = i, & ex redangulo PS x AD fimul fumptis,
capiendo fcilicet PS ad i in ratione quam habet femiaxis major 1 7,863 j ad
0,58x5 diftantiamPeriheliam; unde PS fit 0,0316085, ejufqj Logarithmus
8,513331. Columna Quarta exhibet angulum PSB Anomalies verse a Peri-
helio ; & Sexta Logarithmum rationis quam habet S P ad diftantiam SB re-
fpefliive. Costerse Columnas differentias danc priorutii, unde paratius fumaij-
tur partes proportionales. H^c autem Tabula noq nifi in Ellipfibus huic noftra:
fimilibus locum habet.
P p p p lABVLJ
TABULA MO ru s c 0 Mete
ANN IS MDXXXT, MDCVII & MDCLXXKII F I S I.
Anom.
Eccen-
tri.
O 12
Medius
Motus
Cometa.
0,00000000
0,00011383
0,00022770
0,0003416(5
0,00045574
0,00056998
0,00068443
0,0007991 3
0,00091411
0,00102943
0,001145 II
0,00126120
0,00137775
0,00149479
0,00161237
0,00173052
0,00184929
0,00196871
0,00208885
0,00220972
0,00233135
0,00245383
0,00257715
0,00270139
0,00282658
0,00295274
0,00307994
0,00320820
0,00333758
0,00346809
0,00359981
rentia
Medii
II383
I13S7
11396
1 1408
11424
1 1445
11470
11498
11532
11568
11609
11655
11704
11758
11815
11877
1 1942
12014
12087
12163
12248
12332
12424
12519
12616
12720
12826
12938
13051
13172
Angulus ^
Perihelia.
Diffe-
rentia
Angu-
hrum.
I 33 12
3 ^ 23
4 39 29
6 12 30
7 45 21
9 18 3
10 50 34
12 22 50
13 54 50
15 26 33
16 57 55
18 28 59
19 59 39
21 29 53
22 59 40
24 29 o
25 57 50
27 26 9
28 53 55
30 21 9
31 47 46
3 3 13 49
34 39 13
36 3 58
37 28 4
38 51 29
40 14 13
41 36 14
42 57 30
44 18 3
I 33 12
I 33 II
I 33 6
I 33 I
I 32 51
1 32 42
32 31
32 16
32 o
31 43
31 22
I 31 4
I 30 40
I 30 14
I ^9 47
1 29 20
X 28 50
I 28 19
I 27 46
1 27 14
1 26 37
I 26 3
1 25 24
I 24 45
I 24 6
1 23 25
1 22 44
I 22 J
I 21 16
I 20 33
Logarith-
mus fro di-
fianti4 a
Sole.
0,000000
0,000078
0,000314
0,000706
0,001254
0,001958
0,002817
0,003830
0,004994
0,00631 1
0,007778
0,009396
0,011156
0,013064
0,015115
0,017307
0,019639
0,022105
0,023708
0,027441
0,030303
0,033292
0,036403
O5039636
0,042987
0,046452
0,050029
0,053715
0,057508
0,061405
0,065400
Diffe-
rentia
Loga-
78
236
392
548
704
859
1013
1164.
1317
1467
161I
1760
1908
2051
2192
2332
TABULA MOTU S C 0 METM
JNNIS MDXXXI, MDCVII & MDCLXXXII F 1 S r.
Eccen-
24
48
7 °
24
36
48
8 o
12
24
36
48
9 o
12
24
36
Meditis
Motus
Cometa.
0,00559981
0,00373^75
0,00400251
0,00413940
0,00427769
0,00441741
0,00455861
0,00470132
0,00484560
0,00499147
0,00513898
0,00528819
0,00543912
0,00559179
0,00574626
0,00590259
0,00606080
0,00622095
0,00638305
0,00654715
0,00671331
0,00688156
0,00705193
0,00722447
0,00739921
0,00757621
O5O0775550
0,00793712
0,00812111
0,00830751
Diffe-
rentia
medii
Motus.
13.295
13422
15553
13689
13829
13972
I4120
1427I
14427
14587
14751
1492 I
15095
15267
15447
15633
I 5821
I 60 1 5
16210
1 6410
16616
16825
17037
17254
17474
17700
17929
18162
18399
18640
Aitgulus (i
Perihelio.
44 18
45 37 51
46 56 54
48 15 10
49 32 41
50 49 24
52 5 20
53 20 28
54 54 48
55 48 20
57 I 3
58 12 58
59 24 5
60 34 24
61 43 53
62 52 34
64 o 27
65 7 30
66 13 46
67 19 13
68 23 51
69 27 42
70 30 45
71 33 2
72 34 32
73 35 15
74 35 II
75 34 22
76 32 46
77 30 27
78 27 22
Diffe-
rentia
Angii-
lorum.
19 48
19 3
18 16
17 31
16 43
15 56
15 8
14 20
13 r-
12 43
II 55
II 7
10 19
9 29
8 41
7 53
7 3
6 16
5 27
4 38
3 51
3. 3
2 17
I 3°
o 43
59 56
59 II
58 24
57 41
56 55
Logaritb-
mus pro di-
flantia d
Sole.
0,065400
0,069493
0,073676
0,077952
0,082315
0,086762
0,091292
0,095898
0,100580
0,105335
o, II o 1 5 7
0,11 5046
0,119999
0,125013
0,130083
0,135211
0,140389
0,145618
0,1 50894
0,156216
0,161579
0,166982
0,172422
0,177898
0,183407
0,188946
0,194514
0,200109
0,205728
0,211371
0,217034
Diffe-
rentia
Loga-
rithm.
4093
4183
4276
4363
4447
4530
4606
4682
4753
4824
4953
5014
5070
5128
5178
5229
5276
5322
5363
5403
5440
5476
5509
5539
5568
5595
5619
5643
5663
De Motti Cometarum in Orbihm Elliptick,
Hujus etiam Calculi cape Exemplum. Amio i6%x\Jugufti ^o'^'^ jK ^tf
Temp, ssquat. Gremvici, obfervatus eft, repetitis & limitatis Obfervationibus,
Locus Comet*, dedufla refradHone, in "P^ 15°. 34'. /{%", cum Lat. Borea
17°. 14', 56". Videamus jam quali fuccelTu refpondeat computus nofter.
Tempus propofitum Perihelion Cometse praeceffit $^. i ■^\ 40', five in par-
tibus decimalibus, 5'', 5694. Hujus numeri Logarithmus 0,745811 Loga-
rithmo Motus diurni 6,'^$j6i6 additus, dat Log. numeri 0,00126896 pro
medio Motu Cometge ante Perihelion. In Tabula invenio, ad 2°. i%' Ano-
malise Eccentri, Medium Motum o,ooix6ixo minorem dato partibus 776,
quarum 11655 augent angulum a Perihelio 1°. 31^ 4'', Si Logarithmum pro
diftantia a Sole differentia 1760: Adjeda itaq; angulo 16°. 57'. 55'', &
Logarithmo 0,009396, in Tabula ifti medio motui competentibus, parte
proportionali refpeaive, fit angulus veri Motus a Perihelio 17°. 3', 58'', &
Log. p^•o diftantia a Sole 0,009513, ipfius vero diftantias Log. 9,774809.
Ad locum Perihelii nempe 5;^ 1°. 36' adde 17°. 3'. 58", k habebitur locus
Cometae in Orbei^ 18°. 39'. 58", ad Eclipticam vero reduftus i^ 18°. 33'. 36'^,
cum Latitudine Heliocentrica 17°. 41^ 14'' Borea; unde Diftantiss curtatx
Log. 9,753779« Eodem momento Sol habuit W i7°- ^o'. 54'', ac Log. di-
ftantiae ejus a Ten A 0,002395. Ex his datis elicitur Locus Cometss Geo-
centricus li^ 15". 35'. 58" cum Lat. Borea 17°. 14'. n''; peccans in Lon»
nitudine 1'. i6", in Latitudine vero non nifi o'. 45".
Ad hunc modum Theoriam jam expofitam cum omnibus D"' fUmftedii ob-
fervatis conferendo, ubiq; intra differentias merito contemnendas confenfum
Cceli cum motu hoc Elliptico expertus fum ; uti patet ex fubjefla TabelJa.
MDCLXXXn.
Aug. 19 i<^ 38
20
21
. 21
22
^9
30
^K^.31
Se^t. I
4
5
8
9
15 39
8 21
1(5 19
7 45
8 21
7 33
7 22
7 3^
7 16
7 26
Cometa Long.
Lat. Boy.
Obfervat.
Obfervat.
0 / //
■
SliS 15
5
25 49 ip
24 47
55
26 II 50
2p 37
51
26 15 15
m I 58
0
6 30
8
i5 4 35
A 12 35
5 5
18 37 ^-7
15 34
42
17 24 55
18 16
20
20 28
12
15 II 37
25 39
3d
12 22 251
26 j8
20
II 31 2(5
i^ 29 5d
0
? 25 31
tu 0 41
36
8 4P 2
Co'rnetx Long.
Lat. Bor.
Differen.
Differen.
Comput.
Co?npit.
Longit.
Lath.
0 , //
° ' "
1 II
1 II
^ 18 14 15?
25 48 33
— 0 4(5
— 0 45
24 48 5
2(5 II 40
4- 0 10
— 0 10
29 39 3
2(? 18 3
4- .1 12
+ 2 48
n? I 58 23
4- 0 23
6 32 10
26 6 37
4- 2 2
4- 2 2
i; 12 38 19
18 35 3
4- 2 24
— 2 24
15 35 58
17 24 II
-f I 16
- 0 45
18 17 30
4- I 10
20 29 31
15 II n
4- I 19
-- 0 14
25 39 34
12 22 42
— 02
4- 0 13
25 57 4J
II 33 34
— 035
+ 2 8
A 29 54 40
p 26 25
— I 20
+ 0 JJ
jm 0 39 3S>
8 4P 0
-1 I 57
— 0 z
Neque
De Motii Cometartim in OMm Ellipticis,
Neque ulceriore lima Orbem hujus Cometas expoliendum efle cenfui, cum
differentiae quas videmus non totae Numerorutn noftrorum erroribus tribuendas
fint ; fed partim ipHs Obfervationibus, partim aflumptis Fixarum locis non-
dum abfolute perfeftis, praecipue vera RefraOiionibus aereis props Horizon-
tem variis, quibus toto apparitionis fucs tempore implicabatur Cometa, vix
unquam vifus ii gradibus aitior. Sed & differentiae ift« haudquaquam majo-
res funt quam qucs in Thcoriis Planetarum primariorum, per tot fccula ab
Aftronomis excultis, vulgo experimur. Ucinara 'Jovis & Suturni Motus intra
tam ardos limites coercere ficeret.
Stabilito itaq; hocOrbe, expendamus jam curfum Cometae quern Anno i5o7
fe obfervafle fcribunt Kj^lerm 8c Longomont mm , Viri fane in Aftronomicis
gravillimi, fed qui defcriptione nimis laxa, ac noilis diiquifitioni baud fatis
apta, contenti funt : Qualia autem reiiquere Obfervata hie habes.
Anno 1607, Sep. 16. St. Vet. Kj^krtu Prague circa horam nonam, vel Lo^,
difii o6bavam, Cometam prima vice vidit fub Vrfa majore^ &■ quantum ex fitu
inter Fixas remotiores potuit, locum ejus geftimavit S\ 18°. 30', cum Lar.
Bor. 354.. Sequent! mane hora tertia, diftantia hGenu Vrf^ pofieriorl f-^ Bxyero)
paulo minor erat diftantia duarum in Pede vkiniore (a & /^ ^^[^) eique ad
oculum paralleia, quafi in linea ex Genu Vrf^ in Solitariam Colli (v Bajero)l
Redificatis Stellarum locis (quae vitiofe defcribuntur, nefcio quo cafu, in
Abaco Tjchomco^ fit vifus Cometae locus ^ zi°. 49'. Lat. 36°. iz'BoreS.
Hora nempe LoW/^i aequat. ij''- 51'.
Sept. 18. 8^ 30' Pragx^ Londim f". lo' Temp, sequat. Vifus eft Cometa
ftare infra Stellulam informem fociam Informis ma.gna inter Caudas Vrfs &
Leonis, quae tunc habuit Tl]) 12°. i8\ cum Lat. 40°. 33'i,, a qua aberat dia-
metro Lunae, in linea quae tendit fecundum Vltimam Cauda Vrj\e per Ma~
mm Bootis. Cometam reponunt haec Oblervata in Vi^ ix°, 2', cum Latitu-
dine 40 graduum; cum nempe diftantiae nudo oculo asftimatas Lunae diame-
tro aequales, fint faltem 40 Min.
Sept. 21. yK T,d Huphnia^ hoc eft Londini 6\ 30' Temp, asquat. Longc*
montmm^ per Sextantem quinque, ut ait, in radio Cubicorum, invenit Co-
metam diftare a Media, CmdiZ Vrfa Majoris 30°. 59', &■ circa idem tempus a
Lacida Corona 16". 45', Obfervationibus reiteratis. Hinc verificatis e Cata-
tdogo Britannico Fixarum locis, oritur Cometx Long. )p^ 1 6°. 48', cum Lati
Borea 37°. 12'. Circa idem tempus obfervavit Kjpkrus^ Tyrone ufus focio
Cometam diftare ab Ar£luro 6°. 5', in reda ducente ab Ar^uro in praceden-
tern Humerum Bootis ( y Bajero) unde Comets locus faltem !£ii 17°. q'. ■ '
Q. q q q • sept.
De Motu Cometarum in Oriibm Elliptich.
Sept. 25". Poft horam primam ab Occafu Solis Praga 6'^. 48' Loftdim
Temp, aequat. j\ 36'. videbatur Cometa exiguo fuperior linea ex j^rSaro in
Clarum in Collo Serpentis ( « ) diftans ab eadem 4°. 30'. Hor^ vero fecund^
ab Occafu Solis, five yK 37' Praga, fatis apparebat fuperaiTe lineam ex Radke
Colli Serpentis ( J^) in Eduilionem Colli ejus (/8) dudam. Prima Obfervatio
reponit Cometam in Til. 12°. o'; altera ad horam fecundam in Til ii°. JC
circiter.
Sept.zy. Cometa incidit in lineam ex Secanda in Collo Serpentis (^) per
Claram Colli dudam, ftans fub ea qu£ fequitur CUram (s) Diametro Lunae^
vel paulo plus ; & linea ex Cometa per illam fuam vicinam incidebat me-
dio inter Lucidam Corona & Humerum Herculis{^). Hasc fignant locum
Cometse in TIj 18°. 50', cum Lar. zy. %o' Bor. Kjpkrus horam non habet,
fed adulta nocle fadlam Obfervationem credibile eft, ob vifas Stellas mino-
res. Pone 6\ 3o'Lc;i2<^/'»/' Temp, sequat,
Oliob. I. 6^ T Malmogi^ in Scania, vidic Longomontanus Cometam diftan-
tem a Rorea Manus Serpentarii quoad vifum vix gradus dimidioj erat autem
tunc in refta cum Jr^uro &r Juftrali in eadem Mam : Circa idem tempus,.
ait Kjpleras^ exiguo erat inferior linea dttarum Mantis^ diftans a proximi;
eerti^ parte diftantios illarum. Uterq^ Obfervator, nefcic quo fato, perperam
deduxere locum Cometse ex his fuis Obfervationibus, quem alter habet
T?! a5°. 50', cum Lat. 17°. 35'; alter Til 16". 30', cum Lat. 17° 40', immani
difcrepantia, cum in sftimata diftantia Sf fitu Cometas pene conveniant. Si
loco diametri Lunss ponantur 40', ( ut nudo oculo plerumq; videtur ) ac fup-
ponatur Cometa in linea refla cum Stellis Manm conftitutus, foret 23 Min,-
Borealior proxima, ac 34 Min. Occidentalior, hoc eft in Tfl ^6*^. 16', cum
Tat. Bor. 17°. 40'. Sed hanc reftam proecedebat fenfibiliter confenfu utri-
ufque, adeoq; erat proxime in Tfl 26°. o' ; id quod fatis accurate reponit
Cometam in linea re6la cum Ar^uro & Aujlrali in Mmti, ut a Longomontano-
notatum ell.
O^ob. i. Uterq; Obfervator iifdem in Urbibus Cometam contulerunt cum
prasdidis Stellis in Mank Longomontanm Hora 6'' 4 vidit eum in cufpide ob-
tufi Ifofcelis Trianguli cum didis Stellis, propius tamen ad earum Boream
jnclinabat, Conficiebat autem, quoad filarem extenfionem, redam lineam.
cum Penultima ad ortum in Corona (g) & Borea in Manu\ itemque aliam
redam cum Aufirali Manus & ir^feriore capite Til (credo 'V? ). Kjpkrus circa
idem tempus ( horam enim non notat) vidit Cometam inter duos Mantis me-
dium, infra tamen lineam illarum, paulo altior linea ex ima illarum in Spi-
De Motii Cometarum in Orhius Ellipthk
ram Serpentis vicinam ( ^ Serpentis Bayero') Omnibus perpenfis fit Locus Co-
m€tae 711 2.7°. 5', cum Lat. Borea 16^40'. Londini 5\ ii'Temp. sequar.
Oilob. J. 8^ 30' Praga, inftrumentulo quodam hTychomcis^ obfervavit Ksf-^-
lerus diftantiam Cometse a Getju Ophiachi («) i4<>. 14', & zh Humero pr^e.
cedents Herculis (/3) i8°. f6'. Hinc fit Cometa in TTl 29?. 47', cum La^.
Bore^ 14°. z'j-.
O^ob. 6". Eadem Hora, diftabat a Genu Ophiuchi 13°. 12', & ab Hume-
ro Herculis 29^27'; unde Longitude / 0°. 33'!-, & Lat. 13°. jg'-f.
Oifob.^. 8^ Hse diftantiae erant 11°. 22'; & 31°. 19'; ac proinde locus
Cometse / 2°. 1', cum Lat. Borea n". 56'.
O^c^. IX. 6^ 30' Haphma, Confenfu utriufq; Obfervatorls, erat Cometae
locus / 1°. 50', cum Lat. 9°. 45^ Bor. Sed cum hoc e filaribus tantum ex-
tenfionibus per Stellas remotiores conclufum fit, qus obfervandi methodus in
minimis vix fatis fida, nollem Ccmetse Motum apparentem jam tum Retro-
gradum faftum hinc adfl:ruere.
O^oh. 16. 6\ is' Prag£y Kjplerus ultima vice Cometam vidit, idq; rap.
tim inter nubes : Stabat, ait^ humilis admodum, in Verticali qui circiter di-
midiarLun^ diametro occidentalior erat ipfo Gem (^) Ophiuchi^ tantum in-
fra Genu ut quafi quatuor, certe plus quam tres, diftantis duarum in Man»
intereffe viderentur. De hac obfervatione vide LongomontMumy ubi Kjplerum
redarguit nimis fecure Cometam ad Latitudinem 6° L:gr. deprimentem; cum
ex difto fitu ilium non minorem habuifle Longitudinem qdam / 2°. 10'
nee Latitudinem 8 gr. minorem computat.
Hisc obfervata e Kjpleri libello de Cometh anno \G\<^ Auguflx Vinddicorum
edito, & ex Appendice Ajlronomia Daniae Longomont mi defumpta (quss ta-
men optaflem majori cum ftudio defcripta, prsefertim juxta finemapparitio-
nis) curfum hujus Cometse mediocriter quidem defignanr ; Tatis evidenter ve-
ro commonltrant unum eundemqj fuiiTe cum eo Anni 1682, eodem plane
argumento quo Martem, diutius fub Soils radiis aliquando laticantem, eundem
effe Planetam novimus.
Etenim uterq; Cometa Retrogradus, & idem fpecie-Orbis utriq* commu-
nis vix majori Nodorum & Perihelii motu diverfus reperitur, quam qui poft
tot annos in Planetarum fuperiorum Orbibus agnofcitur. Cum autem inter
annos 1531 & 1607 interfint Anni 76, Semiaxem ejus pauIo majorem feci
nempe qui fit ad mediam Solis diftantiam ut y6T five 17,9422 ad r ; di-
ftantiamq; Periheliam proportionaliter auxi, id etiam poftulantibus Obferva-
tionibus, ut fit 0,^8^07, cujus Logarithmus 9,767207. Nodum autem habuit
Afcea-
De Mvtti Comet arum in Or Him Ellipticu.
Afcendentem ad ^ 17°. 48'. 40", cum Inclinatione Plani ad EcHpticam
17°. ^o'; Perihelion vero in i^ i°. 3'. 40'^- & Temp, jequat. Perihelii 0(7ci^.
1,6°. 21^ 44^ Loniini. Motus etiam medius ejus diurnus fit pars feptua-
gefima fexta diurni Solis, five 0,0002x6344, cujus Logarithmus 6,35:4769.
His pofitis Elementis, eadem omnino calculi methodo qua in prsecedenti-
bus ufus fum, hujus Cometos Obfervata qualia qualia cum Numeris Tabulae
noftrse contuli ; aclicet in aliquibus ex ultimis diverficas pauIo nimia reperia-
tur, hoc maxima ex parte Obfervationibus ipfis parum fibi cengruis cribu-
endum effe, facile perfpiciet Candidus Leiflor.
MDCVII.
Cometh Long.
Lat. So
'. 1
Cometa Long.
Lat. Boy.
Difmn.
Diffeten.
"tem^. JEquat.
Obfervat
Ohfervat.
0 1 II
Comput.
Comptct.
° / /;
Longit.
Latit.
D. H. 1
° 1 II
° 1 II
1 II
1 II
Sept. 16 13 51
SVri 49
0
35 12
0
^21 55 56
36 20 4
+ d 56
+ 8 4
18 7 7.0
'tP 12 2
0
40 0
0
»?I2 3 15
39 50 0
+ I 15
— 10 0
21 6 30
£: 16 48
0,
37 12
0
Si 16 45 13
37 II 2
— 2 47
— 0 58
25 5 36
tnI2 12
0
m 1 2 847
— 3 13
27 6 30
18 50
0
23 20
0
18 44 40
23 1(5 0
~ 5 20
— 40
osi. I 5 25
16 0
0
17 40
0
25 58 40
17 45 4^
— I 20
+ 5 46
2 5 12
27 5
0
1(5 40
0
27 7 12
16 44 0
+ 2 12
+ 40
5 7 15
tn2p 47
0
14 2
20
m2c> 39 25
14 5 35
— 7 35
+ 3 15
6 7 15
? 0 33
30
13 35
30
?■ 0 14 0
13 22 55
— 15) 30
-13 35
^ 6 45
2 0
.50
11 56
0
I 25 7
II 33 48^
— 34 43
— 22 12
12 5 25
I 50
0
9 45
0
2 I 17
10 4 36
4-11 17
+ ii? 36
16 5 0
? 2 10
0
8 0
0
? 2 14 32
8 24 10
+ 4 3^
4-24 10
Hie obiter notandum occurrit, Nodes hujus CometiE tres gradus prgeceffiiTe
eos Co,met32 anni 1682, motu fecundum feriem fignorum progrefTos; dum
Perihelion 32'. zo" tantum prorhotum eft. Sed hoc annorum fpatio prae-
ceffio ^quinoftiorum fit 1°. 2'. 30''; unde refpeclu Fixarum, recelht Aphe-
lion dimidio gradu, procedentibus interea Nodis 1°. 57'. In Planetis autem
progrediuntur Aphelia ac Nodi recedunt, ob Vires Corporum cceleftium
Centripetas, manifefto fefe Solis Viribas immifcentes, eafq; interturbantes, quos
alias accuratiffime in fubduplicata ratione diftantiarum a centro ejus reperiren-
tur; unde corpora circa centrum illud revoiuta, in Planis quiefcentibus &• in-
variatis, gyros Elllpticos in fefe redeuntes perpetuo defcriberent, per Vro^. 14.
Lib. III. Prr/}cip. Natur. Ph/Iofopfji.i. Verum hie Cometa motu Retrogrado
fertur ; unde ob eafdem caufas Aphelion ejus regredi, Nodiq; promoveri
debent in Coslo immobili, propter quas Planetarum Nodi regrediuntur &
Aphelia procedunto
, - Objiciat
De Motti Cometarum in OMm Ellipticu.
Objlciat fortaffe nonnullus Inclinationum 8c Periodorum diverfitatem, t%
qiKE in revolutionibus ejufdem Planets obfervatur multo majorem ; cum
nempe una Periodus alteram plufquam fpatio annuo excedat, 8f Inclinatio
Cometae Anni 1682 totis viginti duobus minutis primis fuperet Inclinatio-
nem motui Cometse anni 1607 competentem. Perpendas tamen, obfecro-,
ea quae ad finem Tabularum nodrarum Saturtii monuimus, ubi unam iftius
Planetse Periodum^aliquando tredecim diebus alia diuturniorem fuifle mon-
ftravimus ; idq; evidenter fieri Vi Gravitatis verfus Jovis centrum tendentis»
quae quidem Vis in paribus diftantiis millefima fere pars eft Vis Solis ipfius,
qua in Obibus fuis retinentur Planetae. Compute autem accuratius inftituto.
Vires Joms in Sittumum^ ex gr. in Conjunftione ut vocant magna, '^a.nunrii-
za» anno 1683 fafla, inveniuntur ad Vim Solis in eundem Suturnum uc i ad
186 J Summa igitur Virium eft ad Vim Solis uc 187 ad 186. Sed ad eaf-
dem diftantias a centre, revolventium in circulo Tempera Periodica funt in
fubduplicata ratione Virium quibus urgentur : Proinde auQA Gravitate parte
fui 186™, abbreviaretur Periodus parte 374'* circiter, hoc eft toto Menfe
in Suturno. Quanto magis hujufmodi erroribus obnoxius erit hie Cometa,
qui quatuor pene vicibus altius excurrit Saturm, cujufq; Velocitas, parte fui
iiom^ minore auda, poterit Orbem Ellipticum in Parabolicum immutare?
Accidit autem, currente reflate anni 1681, Cometam anno fequente vifum,
in defcenfu fuo verfus Solem, 'Jovi ita con)un£lum fuiffe, & per plures men-
fcs eidein adeo vicinum, ut toto illo tempore parte quafi quinquagefima Vi-
rium quae Solem petebant, verfus centrum 'jovis fimul urgeretur: Unde,
juxta Gravitatis Theoriam, arcus Orbis Elliptic), qucm a bfe nte Jipw Cometa
defcribere debuifler, jam. flexu Hyperboliformi "Jovem refpiclente intortus,
fpeciem Curvae admodum compofitae atq; haclenus Geometris intraitabilis in-
dueret ; in qua Corporis moti Velocitas & direftio, ab iis quae alias inEllipfi
fierent, pro ratione cau{ae, diverfae provenirenr.
Hinc ratio reddi poteft immutatae Inclinationis : Nam cum Cometa in
hoc tranfitu 'govern habuerit Boream verfus pene normaliter in viam ejus
ereftum, incurvari debuit ifta Orbis portio in eandem plagamj ac proinde
Tangentibus ejus majoribus cum Angulis ad Planum Eclipticae inclinatis, an-
gulus Inclinationis Plani ipfius augeretur neceflario. Praeterea Cometa diu-
turniori mora in vicinii ^/owV haerens, dum e partibus d Sole remotioribus
tardius eum acceffit, ac junfti^ utriufq;centri viribus urgeretur, plus Veloci,
tatis afcititiae acquifivifle debuit, quam in recelTu ejus a Jove citatiori motu
ac brevipfr tempore fa£lo, in contrarias partes agentibus viribus, amittere
R r r r fotuit:
De Mom Cometarum in OrHhus Elliptick.
potuit : Prqinde aufta hoc exceffu velocitate propria Cometss, probabile fit
reditutn ejus non nifi poft Periodum longiorem 76 & amplius annorum, circa
finem anni i75'8 vel initium proximi, futurum. Sed ha^c levi tantum calamo
a nobis ta£ta, Pofterorum ftudio psnitius excutienda permittimus, pollquam
rei Veritas ex eventu comprobata fuerit.
Quod Cometa anni 1 5 3 1 ab Jpiam obfervatus idem fuerit cum jam de-
fcripto fatis patet ex Periodo, ex motu ejus inter Solem & Terram Retro-
grade, ex fitu Perihelii & Nodorum &■ ex Inclinatione a prioribus non mul-
tum diverfis : Qus tamen omnia fi quis accurate definire fufciperet, fruftra-
neara certe navaret operam, propter Obfervationes nimis imperfeftas, rudi
Minerva & inftrumento parvo Azimuthali captas, & ad oftendendum Caudae
Gometicas afcenfum in partes a Sole averfas unice deftinatas.
Nequis tamen caufetur quicquam hue fpeftans a nobis omiffum, Jpiani
jptius opus Afironomicon Cxfareum^ Carolo V. Cafitri dicatum, & apud nos tan-
dem aegre inventum confului, atqs inde fequentia non alibi edita deprompfi.
Anno 1 5 5 1 Ingolftadii ad Danubium (fub Latitudine 48'. 40', & Longitu-
dine 1 1°4. grad. vel 46 Min. Temp, a Londino ad ortum) Jugufii 13°. vefperi,
prima vice obfervavit Cometam Apunus Corum verfus: Ac Stella clard
ArHuri ipfam Occidentis plagam occupante, vel, ut aiunt, in primo Verticali
conftitut^, Cometa altus 7°. 56' erat 49°. 26' Occidente Borealior. Poftera
NQde^6g. 14% revoluto Coelo, erat altitudo Cometse 8°. zp', jam 45°. 1.1! ver-
fus Boream Aug. 1 5° in eodem Cceli fitu, Cometa 9°. 00' altus Borealior erat
41«. 12'. Aug. 16°. altus 9°. 43' erat Bor. 35°. 13' tantum. Aug. 17°, in
Azimutha 30°. 46' ab Occidente, altus erat 10°. 14. Aug. 18°, altus jo°. 39',
ab Occidente Z4°. 4x'. Deincfe, poft triduum nubibus obduftum, Aug.zZy
in eodem Sphjsrae ftellatae fitu, Cometa altus 11°. 15' erat f. 34' ab Oc-
cidente verfus Boream: Deniq; Aug. 23' Ariiuro in Occidente fito, eo Borea-
lior erat Cometa non nifi 3°. 50', in altitudine 1 1". z6\
Supponit autem Obfervator, pro Aftronomia fuse aetatis^ ArSfurum tunc
habuiffe \^ 16". 59', cum Lat. 31°. 30' Bor. perperam pvoi^ if. 41', cum
Lat. 30^ 57', uti ex certioribus obfervatis conftat. Et fubftituto hoc ejus loco,
fit Afcenfio Refta Medii Coeli, ArSfuro Jngolpdti Occidentem occupante,
278'. 10'. Hinc altitudinibus a Refraaione purgatis, calculo fatis fuperq;
aecurato, pi-oveaiunt loca Cometse. ut fequitur..
MDXXXI.
De Motu Cometarum in Oriihi Ellipticts,
MDXXXI.
Cometa Afc.
Cmeta
Ittgal&.Temp.A^p.
ReEla.
DecL Bar.
D. H. ,
0 1 II
0 1 II
Aug.il 8 ^6
151 45 4J
36 49 2J
14 8 22
\%6 17 20
3J 3 50
IJ 8 19
Ido 32 50
33 It JO
Id 8 15
1 6(5 43 20
30 4 30
17 8 II
170 58 40
27 42 25
18 8 7
175 19 30
24 8 50
22 7 54
ipo <5 30
13 27 10
23 7 50
ii>2 53 30
II I 20
Cometa Long.
Obfervat.
S\.zo i6 o
24 41 30
^ 29 I o
n? 5 3(j 15
10 ip 40
t? i(J 37 o
£5 3 49 o
Obfervat. Apiano. Apiano.
23 30 10
23 18 45
23 I 30
22 21 40
21 47 o
20 36 15
16 20 40
7 25 30 1 15 13 40
ili9 IJ
23 39
24 29
»»? 4 32
9 14
np 15 30
-: I 23
2 51
23 IS
23 2
22 O
22 I
21 25
20 12
16 32
14 31
Si haec loca inter fe conferantur, ftatim rnanifefta fit nimia eorum difcre-
pantia, vitio Inftrumenti quo obfervabantur proculdubio tribuenda. Sed &
in deducendis locis ex Obfervatione tertia & duabus ultimis, graviter ab ipfo
Jpia»o erratum invenies. Etiamfi vero nihil certi & accurati ex turn incertis
Datis elici poterit, abunde tamen valent ad ollendendum hunc Cometam
curfum tenuiffe curfui ejus qui anno i6Sz fulfit perquam fimilem, ac fi La-
titudini ejus tres gradus adjicias, pene eundem.
Supervacuum effet Numeros noftros cum his conferre j cum prorfus im-
poflibile fit compute quovis regulari tam irregularia & inter fe pugnantia
conciliari. Si vero ponatur Period us 75- annorum, atq; adeoSemiaxis raaj.or
Ellipfeos 17,7845 ; Difl:antia Perihelia 0,57993 ; Nodus Afcendens ^ 15°. 30';
Inclinatio 17°. co', & Perihelion ^ 1°. ix'; Tempus vero Perihelii Anno
1531^»^«/?/ zs\ i^K 00'; ac medius Motus diurnus pars feptuagefima
quinta diurni Solis, five o,ooox»9362 cujus Log. 6,36o5xx; habebitur, ope
ejufdem Tabuk,, motus hujus Coraetae fupputatio, plerumq; Obfervationibus
magis congrua quam funt ipfas Obfervationes inter le.
Vides itaq; in his tribus coofenfum Elementorum omnium, miraculi fane
loco habendum fi fuerint tres diverfi Coraet9e ; vel fi non fiierint ejufdem
in Ellipfi revoluti tres ad Solem Terramq; accelfus diverfi. Quocirca fit
fecund umprasdifta noftra redierit iterum circa annum 1758, hoc primum ab
Honiine Jnglo inventum fuifle non inficiabatur asqua Pofteritas.
Atq; hie efl: Cometarum quafi Mercurtuj, arftiore Orbe ac breviore Perio-
do Solera ambiens, dum caeteri omnes latius expatiantur, & poft Revolu-
tiones longLlTimas & plus quam feculares, imo plurium feculorum, per exi-
gua tantum intecvalla hoxninuin confpeiaui fe produnt ; dum fcilicet a vi-
cino
Df MoU Cometarum in OrUhm Elliptick.
cino Sole illuflrati fortiore lumi-ne fplendent, fenfibilefq; exhalant Caudas,
quae non nifi Vapores tenuiffimi funt e materia Comeric^ vi caloris agitati
eliciti, & in aethere tantum non vacuo magn^ cum velocitate furfum protrufi.
Sed de hac re Phyfica audi Celeberrimum N EVTO NV M,- fub finerii
Lib, III. Prmcipiorum, pro more fuo demonflrative difputanterii.
Hinc fir, ut pari evidcntii ac in hoc Hoftro anni i68z, non conftet fedt-
iffe aliquem aliura Cometam. Verum fi quid argumenti ex aqualitate Pe-
riodorum &■ ex Phosnomenis fimularibus peci poffit, mirus ille ,Cometa qui
anno 168^ fulfit, unus idemq; fuic qui anno 1106, regnante apud Anglos
Kege Henrico I, e Solaribus radiis primum emerfit " Die Veneris Fehruarii 16'
*' Vefperi, & per longum poftea tempus fiogulis diebus vefperi confpeftus eft.
" Stella apparuit in Notozephyro, quae exigua ell vifa & obfcura, verum
" radius qui ab ea profluxit admodum clarus efle atq; ingens radius putaba-
'* tur, verfus Euraquilonem fulgens ", ut habetur in Chronico Saxontco^ i Te-
fte oculari ut videtur conlcripto. Haec autem defcriptio fatis quadrat cum
e^ Cometse anni 168°, tarn ratione prolixs caudae, quam fitus refpeflu Solis.
Alius etiam Cometa fimilis, juxta Confulatum Lampadii & Orejlis &- an-
num Chrifti 5-31, Imperante Jufiiniano, vefperi vifus eft; de quo Ma/e/a Au-
thor Chronici Antiocheni^ fortaffis etiam Teftis ocularis, hsec fcribit. " Stella
*• ingens & tremenda in Occidente comparuit, radium album furfum emit-
** tens, quam quod fulguris emiflionem prae fe ferebat Lamfadim nonnulli
" vocitabant. Per Dies autem XX fulfit ". Optaflem quideiii Hiftoricum
anni tempeftatem qua hsc confpedia funt prodidifle 3 manifeftum tamen eft
intervallum annorum inter hunc & ilium anno \ ic6 vifum, proxime aquale
fuifTe intervallo inter annos 1106 h 1681, nempe 575: annorum circiter.
Dedufta autem alia Periodo huic squali, deveniemus ad annum ante
Chrifium natum quadragefimum quartum, quo poft occifum Julium defa-
rerny emerfit Cometa maxime infignis, ab Hiftoricis ejus temporis peue om-
nibus celebratus, & a Plinio^ Nat. Hifi. Lib. IL Cap. 14; ubi habentur verba
ipfius Augufii Claris de hac re : Horum ope ad ipfiflimum tempus, fitumq;
Phaenomeni in Coslis perducimur ; quapropter ea hie rec'itari non pigebir.
" In ipfis Ludorum meorum diebus, Sydus crinitum per feptem dies, in
" regione C«li quae fub Septentrionibus, eft confpedliim. Id oriebatur circa
« undeeimam horam diei, clarumq; & omnibus Terris confpicuum fuit".
Jam Ludos hos fuos dedicavit Auguftus Veneri Genetrici (nam a Xy^^ Venere
prognatos fe jaftavere Cajares') & a Natalibus {nis, die kHz 2° Sep fmhis
iflchoatos per feptiduum continuavitj ut ek fragmento antiqui' C^^ietidarit
Romani
De Mot II Cometarmi in OrHbm Ellipticis.
MDXXXI.
Cometa Afc.
Cometa
Ingoia.Temp.^fp.
Retia.
Bed. Bor.
r>. H. 1
° 1 II
0 / //
Aug. I-!, 8 ^6
151 45 45
35 4S> 2j
14 8 7.2
155 17 20
35 3 50
15 8 19
160 32 50
33 II 50
16 8 ij
166 43 20
30 4 30
17 8 II
170 58 40
27 42 25
18 8 7
175 19 30
24 8 50
22 7 54
ipo 6 30
13 27 10
23 7 50
IP2 53 30
II I 20
Cometa Long.
Lat. Bor.
Longit.
Lat.lior.
Ohfervat.
Ohfervat.
° 1 II
Apiano.
° 1
Apiano.
° 1 II
0 /
A 20 i5 0
23 30 10
SI19 I)
23 15
24 41 30
23 18 4J
23 3P
23 ?
A2p I 0
23 I 30
• 24 29
23 0
'!P.5 35 15
22 21 40
'!? 4 32
22 I
10 ip 40
21 47 0
9 14
21 2J
"^ l5 37 0
20 36 ij
'tf I J 30
20 12
-5 3 45) 0
16 20 40
^ I 23
16 31
" 7 25 30
15 IJ 40
2- 5 I
14 31
Si hsc loca inter fe conferantur, ftatim manifena fit nimia eorum difcre-
pantia, vitio Inftrumenti quo obfervabantur proculdubio tribuenda. Sed &
in deducendis locis ex Obfervatione tertia & duabus ulcimis, graviter ab ipfo
Apiano erratum invenies. Etiamfi vero nihil certi & accurati ex turn incertis
Datis elici poterit, abunde tamen valent ad oltendendum hunc Cometam
curfum tenuifle curfui ejus qui anno i68i fulfu perquam fimilem, ac fi La-
titudini ejus tres gradus adjicias, pene eundem.
Supervacuum eflet Numeros noftros cum hisconferre; cum prorfus im-
poflibile fit computo quovis regulari tarn irregularia & inter fe pugnantia
conciliari. Si vero ponatur Periodus 75- annorum, atq; adeo Semiaxis major
Ellipfeos 17,7845 ; Diftantia Perihelia 0,57993 5 Nodus Afcendens c5 1 5°. 30';
Inclinatio 17°. 00', & Perihelion t^ 1°. ii'; Tempus vero Perihelii Anno
iSli Atigufti 25<^. 19^. 00'; acmedius Motus diurnus pars feptuagefima
quintadiurni Solis, five 0,000129362 cujus Log. 6,^6q'^%x', habebitur, ope
ejufdem Tabulis, motus hujus Cometse fupputatio, plerumq; Obfervarionibus
magis congrua quam funt ipfs Obfervationes inter fe.
Vides itaq; in bis tribus confenfum Elementorum omnium, miraculi fane
loco habendum fi fuerint tres diverfi Comets; vel fi non fuerint ejufdem
in Ellipfi revoluti tres ad Solem Terramq; acceifus diverfi. Quocirca [i
fecundum prssdifta noftra redierit iterum circa annum 1758, hoc primum ab
Homine Anglo inventum fuiflfe non inficiabitur sequa Pofteritas.
Atq; hie eft Cometarum quafi Mercurius^ arftiore Orbe ac breviore Perio-
do Solem ambiens, dum cgeteri omnes latius expatiantur, & pofl: Revolu-
tiones longiirimas & plus quam feculares, imo piurium feculorum, per exi-
gua tantum intervalla hominum coafpedui fe produnt ; dum fcilicet a vi-
S f f f cino
De Motii Cometariim in Orbibm Ellifticu,
cino Sole illuftrati fortiore lumine fplendent, fenfibilefq; exhalant Caudas,
quae non nifi Vapores tenuiffimi funt e materia Coraerica vi caloris agitata
eliciti, &• in Eethere tantum non vacuo magnft cum velocitate furfum protrufi.
Sed de hac re Phyfica audi Celeberrimum NEVTONV M, fub finem
Lib. III. Primipiorum, pro more fuo demonflrative difputantem.
Hinc fit, ut pari evidentia ac in hoc noftro anni i68x, non conftet redi-
ifle aliquem alium Cometam. Verum fi quid argumenti ex osqualitate Pe-
riodorum & ex Phaenomenis fimularibus peti poffic, mirus iile Cometa qui
anno 1680 fulfit, unus idemq; fuit qui anno i!o6, regnante apud Anglos
Rege Henrico I, e Solaribus radiis primum eraerfit " Die Veneris Febraarii 16'
*' Vefperi, & per Jongum poftea tempus fingulis diebus vefperi confpedus efi-»
" Stella apparuit in Notozephyro, quae exigua elt vifa & obfcura, verum
*' radius qui ab ea profiuxit admodum clarus efle atq; ingens radius putaba-
^' tur, verfus Euraquilonem fulgens ", ut habetur in Chronica Saxonico^ a Te-
fte oculari ut videtur conlcripto. Haec autem defcriptio fatis quadrat cum
ea Cometse anni 1680, tarn ratione prolixs caudae, quam fitus refpeQu Solis.
Alius etiam Cometa flmilis, juxta Confulatum Lamfadii & Orejlis & an-
num Chrijii fjr, Imperante Jufiininffo^ vefperi vifus eft; dequo MaleU Au-
thor Chronici Antiochem^ fortaffis etiam Teftis ocularis, hssc fcribit. " Stella
*■ ingens & tremenda in Occidente comparuit, radium album furfum emit-
" tens, quam quod fulguris emifTionem prae, fe ferebat Lampadinn nonnuUi
" vocitabant. Per Dies autem XX fuIfit".. Optaflem quidem Hiftoricum
anni tempeftatem qua hs;c confpefta funt prodidiffe •■, manifeftum tamen eft
intervallum annorum inter hunc & ilium anno iic6 vifum, proxime aeqaale
fuilTe intervallo inter annos 1106 & 168 r, nempe 5,75 annorum circiter.
DeduQi autem alia Periodo huic jequali, deveniemus ad annum ante
Chriftum natum quadragefimum quartum, quo poft occifum 'Julium C^fa-
r-em, emerfit Cometa maxime infignis, afa Hiftoiicis ejus temporis pene om-
nibus celebratus, & kP/imo, Nat Hifi. Lib. il. Cap. 24; ubi liabentur verba
ipfius Augufii Claris de hac re : Horum ope ad ipfiftimum terapus, fitumq;
Phaenomeni in Coelis perduciraur ; qua propter ea hie recitari non pigebit.
« In ipfis Ludorum meorum diebus, Sydus crinitum per feptem dies, in
" regione Cceli quas fub Septentrionibus, eft coufpedum. Id oriebatur circa
« undecimam horam diel, clarumqi & omnibus Terris confpicuum fuit ".
Jam Ludos hos fuos dedicavit Auguftus Veneri Genetrici ( nam a Dea Venere
grognatos fe jaftavere C^/^rw) & a Natalibus fuis, die fcil. 13° Septembris^.
inchoates per feptiduum continuavitj ut ex fragmento antiqui Calendarii
Biomatii
De Motu Cometaravi in OMm BMiptick,
Romani apud Gruterum^ pag. ijf Nov. Edit, colligere licet. Per hos autem
feptem dies comparuit Cometa tefte Cafare: Nihil tamen obftat quin eciam
ante & poft dies illos confpicuus fuerit. Quod vero dicatur vifum fuifTe Come-
tarn fub Septentrlombus, minime intelligendum eft quafi in Borea Coeli parte
fub Polo apparuerit, fed fub feptem Trionibus, i. e. infra Stellas lucidiores
Vrfa Majoris. Hora autem undecima diet ortum fuiffe nullo modo concipi po-
teft; quapropter loco diet legatur no^is^ vel omilTa e^ voce, uti legitur
apud Suetoniam : Sole enim prope sequinoftium autumnale tum conftituto,
hora undecima Romana, qua ortus Cometa dicitur, coepit a quarti matutina
noftri computi ; ita ut inter quartam & quintam, quafi fefquihora ante Solis
exortum oriri judicabatur: Prsecedebat igitur Solem viginti circiter gradus,
quod de principio apparitionis, vel faltem feptidui didi, intelligi debet.
Qlio tempore vero fub feptem Trionibus fulfit, multo citius oriebatur, ac
latitudinem habuit Borealem fat magnam, motu Retrograde e Signo Virginis
in Caacrum latus ; emenfo fcilicet fpatio inter Leonem & Vrfam intermedio.
Jam fi retineatur fitus Orbis Cometss anni 1680 refpedu Fixarum, ac
ponatur Perihelion ejus anno ante Cliriftum natum 44% circa Septembris
diem 18"™. Calculo utcunque inflituto, ftatim patebit curfum Cometae, in
afcenfu ejus a Sole, ubi maximam projecit Cz.\x^^iV[^^ clammqi era.t & omni-
bus Tetris corffpicuum fydus^ curfui hujus 2^ Jugufto C<«/4^re defcripti fatis
congruere. Proinde haudquaquam abfurdum erit fi Cometam a C^fare vifum,
abfolutis tribus revolutionibus, anno 1680 nobis denuo affulfiile credamus j
prssfertim cum ad ssqualia temporis intervalla, annis k. Chrijli. jji & 1106,
fimiles quoq; Cometse apparuerint. -
Ponamus itaqj Periodum ejus ^js annorum eflfe proxime.-- Unde fiet Se-
miaxis maior Ellipfeos 5:75t five 69,14785-, qaalium media Terras a Sole
diftantia fit i. Earundem vero partium fit diftantia perihelia 0,006175-,
qualem invenimus obfervationibus maxime congruam, atq; adeo Semiaxis
Obis conjugatus 0,92410; vel pofito femiaxe majore -= i, fiet dift:antia
Perihelia 0,000089301 cujus Logarithmus 5,950858 ; & Semiaxis minor
0,0133641 ejufq; Logaritbmus 8,115939 : His jaftis fundamentis, Tabulam
fequentem concinnavi, ejufdem pene formas cum prsscedente : Cum vero ob
viciniam Solis non confpici poterit hie Cometa nifi quarto die a Perihelio,
inchoatur Tabula a gradu quinto Anomalias Eccentri : Anguli etiam nume-
rantur ab Aphelio, & Logarithmi funt ipfarum rationum quas habent veras
Cometae a Sole diftantise ad mediam Solis a Terri diftantiam. Porro ad de-
cimas graduum computata eft in priori parte, ne fecundis differentiis ad da-
l^ara interpolationem opus fit*
TJBVLA
TABULA MOTUS C 0 M E T IE
ANN IS iMDCLXXX & MDCLXXXI F 1 S I. .
Amm.
Eccentri.
6
12
i8
24
5 30
""36
42
48
54
6 o
6
12
18
24
6 30
~76
42
48
54
7 o
Medius Motus
Cometa.
0,00011050
0,00012543
0,00013263
0,0001401 1
0,00014787
0,00015591
0,00016425
0,00017289
0,00018182
0,00019107
0,00020062
0,00021050
0,00022070
0,00023123
0,00024209
0,00025^30
0,00026484
0,00027674
0,00028899
0,00030161
0,00031459
0,00032794
0,00034166
0,00035577
0,00037027
0,00038516
0,00040044
0,00041613
0,00043223
0,00044874
0,00046567
0,00048302
0,00050080
0,00051902
0,00053767
0,00055677
Diff.med.
Motus.
691
720
747
776
804
834
864
893
925
P55
1053
1086
1 121
1154
1190
1225
1262
1298
1335
137^
1411
1450
1489
1528
1569
1610
1651
1693
1735
1778
1822
1865
1910
Angulus
ab
D/if: An-
Apheh
0.
guhrum.
0 ,
.,
. „
17 24
12
20 12
^7 4
0
19 26
16 44
16 25
34
50
18 44
18 2
16 7
48
17 24
15 50
24
16 47
I) 53
37
16 13
15 17
24
15 39
15 I
4i
15 9
14 38
14 46 36
14 31
58
14 II
14 17
47
13 43
14 4
4
13 17
12 54
12 29
13 50
47
13 37
53
13 25
24
12 7
13 13
13 I
17
31
II 46
II 25
12 50
6
II 6
12 39
0
12 28
13
10 47
10 19
12 17
44
10 12
12 7
32
9 55
II 57
II 47
II 38
37
58
34
9 39
9 24
9 10
II 29
24
8 55
1 1 20
29
8 42
II II
47
8 28
II 3
19
8 16
10 55
3
8 4
10 46 ^9
7 52
7 41
7 30
7 20 ^
10 59
10 31
7
26
ID 23
56
10 16
36
Diflantia d
Sole Logar.
9,430205
9,447007
9,463497
9,479687
9,495585
9j5II202
9,526548
9,541^32
9,556462
9,571047
9,585394
9,599512
9,613406
9,627084
9,640553
9,653818
9y666SS6
9,679763
9,692453
9,704962
9,717295
9,729455
9,741450
9,753283
9,764957
9776478
9,787849
9,799073
9,810156
9,821099
9,831907
9,842583
9,853129
9,863548
9,873845
9,884023
Differen-
tia Logar.
16801
16490
16190
15898
15617
15346
15084
14830
14585
14347
I4118
13894
13678
13469
13265
13068
12877
12690
12509
12333
I2160
II995
I1833
1 1 674
I1521
II371
II224
II082
10943
10808
10675
10546
I0419
10297
1:178
TABULA MOTU
JNNIS MDCLXXX &: M
S CO METE
DCLXXXI FISL
Anom. Medius Motus '
Eccentri Co?neta.
8 30
48
54
9 o
12
24
36
48
13 o
12
24
36
48
14 o
24
48
15: o
0,00055677
0,00057632
0,00059633
0,00061680
0,00063773
0,00065914
0,00070338
0,00074957
0,00079775
0,00084797
0,00090025
0,00095465
0,00101122
0,00106998
0,00113098
0,001 19426
0,00125987
0,00132785
0,00139823
0,00147106
0,00154638
0,00162424
0,00170467
0,00178772
0,00187343
0,00196184
0,00205298
0,00214691
0,00224366
0,00254328
0,00244580
0,00255127
0,00265973
0,00277122
0,00288578
0,00300345
Dlff.med. Angulus ah
Motus.
2001
2047
2093
2141
4424
4619
4818
5021
5228
5440
5^57
5876
6100
6328
6561
6798
7038
7283
7532
7786
8043
8305
8571
8841
91 14
9393
9675
9962
10252
10547
10846
1 1 149
1 1456
11767
;o 16 36
9.27
2 27
5 5 36
48 55
42 23
9 29 44
9 17 36
9 5 59
8 54 50
8 44 8
8 33 50
8 23 56
8 14 25
8 5 14
7 56 23
7 47 51
7 39 37
7 31 40
7 23 58
7 i^ 33
7 9 21
7 2 23
6 55 39
6 49 7
6 42 47
6 36 38
6 30 41
6 24 54
6 19 17
<5 13 49
6 8 30
6 3 21
5 58 19
5 53 26
5 48 41
T t t E
•githnmi;
1 1,
7 9
7 0 ■
6 51
6 41
6 32
12 39
12 8
II 37
11 9
10 42
10 18
9 54
9 31
9 II
8 51
8 32
8 14
7 57
7 42
7 25
7 12
6 58
6 44
6 32
6 20
6 9
5 57
5 47
5 37
5 28
5 19
5 9
5 I
4 53
4 45
Sole Logar
9,884023
9,894083
9,904027
9,913859
9,923582
9,933197
9,952113
9,970626
9,988753
0,006509
0,023908
0,040966
0,057695
0,074105
0,090212
0,106024
0,121550
0,136803
0,151793
0,166525
0,181011
0,195259
0,209272
0,223063
0,236635
0^24,9999
0,326086
0,338135
0,350020
0,361741
0,3733031
Differen-
tia Logar.
10060
99^^
9832
9723
9^15
18916
18513
18127
17756
17399
17058
16729
1 641 o
16107
15812
15526
15253
14990
14732
14486
14248
14013
13791
13572
^33^4
13159
12960
12766
12581
12399
12222 ^
12049
1 1 885
11721 ,
11562
De Motii Cometaram in Orbilm ElUpticis,
Quod Plani hujus Orbis Elliptici longiflitne extenfi pofitionem attlnet,
Nodos eofdem ac in Orbe Parabolico fuperius defcripto retinemus, nempe
ad z". "i! Cafricorni &: Cancri; cum Inclinatione ad Planum Ecliptics
6i°. 6'. 48''. Perihelion vero Comets, in hoc Piano fecundum feriem Sig-
norum moti, incidit in / ^^°. 44'. 15'', adeoq; Aphelion in I zx°. 44'. 2 j'^,
five 9°. 17/. 35-" ante Nodum defcendentem. Tempus gsquatum Perihelii
pono Decemb. 7°. 13^ 9' LonMni\ Anno foil. 1680. Motus autem medius
diurnus fit -j-z^ diurni Solis j hoc ePc 0,0000x99167 ejufq; Logarithmus
5,475,914, cui fi addatur Logarithmus Temporis ante vel poft Perihelion,
ftatim habebitur Motus medius ad datum momentum.
Haud abs re erit fortaffe fi hujus etiam calculi Exemplum apponara. An-
no 16Z0 Novemh. 3. id""- 47' Temf. ^quat. & ad Meridianum Londmi redufto,
obfervavit D. Gottfried Kjrch, Coburgi Saxoma, Cometam, in defcenfu ver-
fus Solem, adhuc omni caudi deftitutum, ac inftar Nebuk albentis abfq;
Nucleo, vix nudis Oculis confpicuum ; dum fcil. fortuna duce Lunam &
Mmem ei vicinum Telefcopio circumluftraret. Inter adjunflas autem
Fixulas fitum Phasnomeni fatis accurate defcriptum dedit : Unde opitulante
Reverendi D. Pound curiofa induftria, locum ejus refpeftu Eclipticss fatis
accurate obtinui SI 29°, 51', cum Latitudine Borea 1«. 18'. De hac au*
tem Obfervatione vide Pbilofofh. Tvmfact. N' 342.
Jam praecefiit hasc obfervatio Tempus Perihelii 34"^- 6^'- zz', five in deci-
malibus diei 34,2553. Hujus Log. 1,534854 Logarithmo medii Motus
diurni additus fit 7,010768 Logarithmus medii Motus ad datum Tempus,
qui proinde fit ,00102,5105. Hunc Motum medium invenio in Tabula
inter 10°. 24', & 10°. 36'. Anomalix Eccentri, Sf interpolatione rite infti-
tuta provenit angulus poll Aphelion 8 ". 2 1 '. 3 7'^, & Logarithmus difi:antiK
vers Cometje a Sole 0,061658. LocoAphcIii IT 22°. 44'. 25'' adde 8°. 21'. 37'',
fiet locus Cometae in Orbe fuo ^ 1°. 6'. 2'', hoc eft 0°. ss'. 58'' ante No-
dum defcendentem; Hinc locus ejus Heliocentricus ad Eclipticam reduclus
erit S 1°. 34.''. 58^^ cum c°. 49'. o'' Lat. Bor. & Diftantis curtate Logarith-
mus 0,061614. Habuit autem Sol eodem tempore Tl[ 22°. 44'. 50'', ac Log,
diftantia; ejus a Ten a 9,994672. E quibus datis, fi Calculus Trigonome-
tricus more in Planetis ulitato adhibeatur, prodibit locus Comets Geocen-
tricus ^ 29°. 5 i'. ^^" cum Latitudine Borea 1°. 17'. 32^', omnino prout
obfervatus eft.
Haec autem Kjrchii obfervatio fane nobilis efr, non tantum quod tredecim
diebus prior fit csterorum omnium obfervatis ; fed quod quafi fola & unica
fit e multis, apud exteros de Cometa matutino evulgatis, cui plena fides ad-
hiberi
De Motu Cometarum in Orhihs Elliptick.
hiberl poffit. lis quidem poliendis atqj inter fe conferendis quantum operas
impendit fagacitas NewtonUnA^ vides apud ipfum in Frinciporum Lib. III.
quas tamen ut inter fe ubiq; fere nimium diflidentes, nee debita cura inllru-
mentifve idoneis captas, nos merito praetereundas cenfemus ; cum Obfervata
potius juxta Calculum, quam Calculus juxta Obfervata, asftimanda vide-
antur.
Verum fequens Tabella curati{Rmam Motus Cometos vefpertini ferlem
exhibet, magna ex parte ex Obfervationibus Sextante Grenovkenfi prsedido
habitis deduftam, ac juxta reformata Fixarum loca e Catalogo Bntamico
defurapta, quoad ejus fieri potuit, verificatam. Duk tantum ultimse ipfius
Newtoni funt, Cometae evanefcentis motum ad Stellas in ?ede Perfci artificiofe
ffiftimantis. Calculo autem accurate juxta prsmiifa Elementa inftituto, ecce
confenfum Supputatori quantumvis fcrupulofo abunde fatisfaOiurum.
MDCLXXX.
Cometh Long.
irt?. Bor.
Cometa Long.
irt?. JSor.
Differen.
Difsren.
Temp, j^qtiat.
Obfervat.
Obfervat.
° 1 II
Comput
Comput.
Long
it.
Latit.
D.
H. J
0 ,
//
0 / //
° / //
1
II
1 It
Nov. 3
16 47
il 2p 51
0
I 18
0
il29 51
22
I 17 32
+ 0
22
— 0 2§
Dec. 12
445
VP 5 32
30
8 28
0
yp 5 31
20
8 29 5
— I
10
-f I 6
21
6 37
^ 5 8
12
21 42
13
«555
14
21 44 42
— I
5S
+ 2 29
24
6 18
18 4P
23
25 23
5
18 47
30
25 23 35
— I
53
-TO 50
25
5 21
«»28 24
13
27 0
52
«» 28 21
42
27 2 I
— 2
31
+ 1 9
29
8 3
X 13 10
41
28 9
58
X 13 II
14
28 10 38
-1-0
33
+ 0 40
30
8 10^
K17 38
20
28 II
53
KI7 38
27
28 II 37
+ 0
7
— 0 i5
Jan. 3
7 50
r 2 j3
0
27 7
48
r 2 52
42
27 7 48
— 0
18
i58i. 5
6 il
8 48
53
25 15
7
8 48
51
35 14 57
— 0
2
— 0 ID
9
7 I
18 44
4
24 II
56
18 43
51
24 12 17
— 0
13
+ 0 21
10
6 6
20 40
50
23 43
'^l
20 40
23
23 43 25
— 0
27
— 0 7
13
7 9
r25 5p
48
22 17
28
r 25 0
8
22 i5 32
+ 0
20
— 0 55
25
7 59
tf P 35
0
17 55
30
b- 9 34
II
17 55 5
— 0
49
0 24
25
6 50
10 19
0
17 40
30
10 20
14
17 40 29
+ 1
14
>7.30
8 22
13 19
51
15 42
18
13 18
28
I5 40 5
— I
23
— 2 13
Fel>. 2
6 35
15 13
53
i5 4
I
15 II
5P
15 2 7
— I
54
— I 54
5
7 4t
i5 5P
6
15 27
3
i5 59
17
15 27 0
+ 0
1 1
— 0 3
Mart. I
II 10
^ 27 52
40
12 23
40
b- 27 51
47
12 2 2 38
— 0
5 3
— I 2
9
8 38
n: 0 43
4
II 45
52
jc 0 42
43
" 45 35
— 0
21
-0 17
Experiantur itaq; Vortkum & P/e/?i abjoluti fautores, an juxta Hypothefes
fuas poterint hujus Cometa?, per novem Integra Signa ac fpatium plufquam
quadrimeftre vifi, curfum reprssfentare j &r an alia Curva, aliave in ea mo-
tus Lex a noftra fenfibiliter diverfa, fingularem Vise ejus Curvaturam, ac
Velocitates diverfimode auctas ac minutas pari certitudine poterit exhibere;
■ - 'Si
Be Motii Cometarum in Orhihm Ellipticis.
SI hoc fieri nequeat, difcant tandem miffis nugis Veritatis fludio indulgere,
8r cum Regali Societxte noftra Nullius in verba, jurare.
Cssterum hie Cometa, in ea Orbitse fuse parte qua verfus Solem defcendit,
ita Planetarum omnium femitis propinquus acceffir, ut fi forte tranfeuntem
cuilibet c Planetis occurrere contigifTer, fieri non potuit quin producerentur
efFe6:us valde fenfibiles, motus quae Cometss maximas patiretur interturba-
tiones. Hoc in cafu multum . immutari potuit Planum Specisfq; Ellipfeos,
Tempulq; Periodicum, prssfertim ex occurfu 'Jovis. In defcenfu nupero,
Via vera Comet» hujus parvo intervallo Saturni & '^ovis Orbitas infra fe
reliquit ad Auftrum : Veneris & Mercitrii femitis multo propius acceflit,.
Martis vero adhuc vicinior. Dum autem per Planum Ecliptics tranfiit, ad
Nodum fc. Auftrinum, ita Terrcs femitam appropinquavir, ut fi diebus tri-
ginta uno ferius Solem accefliflfer, vix femidia metro Solari Globum noftrunt
verfus Boream reliquiffet : Et proculdubio Vi Centripeta ejus ( quam cum
magno Nervtano Moli feu quantitati Materigs in Cometa contents propor-
tionalem fupponimus) diverfitatem aliquam in fitu & Specie Orbis Terrjs,
Spatiiq; annui quantitate intuliflet. Collifionem vero vel contadum tanto-
rum Corporum ac tanta vi- motorum ( quod quidem manifeftum eft mi-
nime impoffibiie effe) avortat DEUS. O. M. ne pereat funditus pulcherri-
mus hie rerum ordo & in Chaos antiquum redigatur. Sed hsc obiter.
Cum aucem plufquam probabile fit casteros Cometas in Catalogo noftro
defcriptos poll abfolutas Periodos fuas iterum reverfuros effe, unde datis
temporibus Feriodicis darentur etiam Orbitarum Ellipticarum Axes, ac prq-
inde Species ; ut Aftronomis pofteris Calculi operofi taedium pro polTe fuble-
varem, adjicere placuit Tabulam fequentem, qua continentur Segmentorum
Areae dupls, Sinuum ReQorum & Verforum Logarithmi cum eorundem
ditferenriis, ipfiq; Sinus Verfi, ad quintas graduum Anomalise Eccentri par-
es coUcdi. Jam fi fiat ut Semiaxis major Ellipfeos ad diftantiam Periheliam,
ita I ad quartam proportionalem, & hujus quartis Logarithmo addantur
Logarithmi Sinuum reftorum in Tabula figillatim, vel eorundem differen-
tias additione continua, habebuntur duplce Ares Triangulorum duplis Seg-
mentis in fecunda Columna inventis addendce, pro Medio Motu ad Anoma-
lias Eccentri refpedivc. Deijn addantur pari modo Logarithmi Sinuum
Verforum Logarithmo Eccentricitatis datse, ac per totam feriem numerorurn
his fummis competenciura addatur ubiq; diflantia Perihelia, & emerget Ta,
bula verarum Comets a Sole diftantiarum. Deniq; erit in omni cafu ut
diftantia Cometge a Sole ad Axem Orbit» minorem, ita Sinus Anomalias Ec-
centri ad Sinum anguli ab Focum Ellipfeos.
TABVLA
TJBVLJ GENERJLIS PRO EXP EDIEN DO
CAL<:VLO MOTVS COMETICI IN ELLIPSIBVS.
Eccen-
ft/.
Dufla Area
Segment!.
0,00000,000
0,00000,001
0,00000,006
0,00000,019
0,00000,045
0,00000,089
0,00000,153
0,00000,243
0,00000,363
0,00000,5 17
0,00000,709
0,00000,943
O,000OL,2 2 5
o>ooooi,557
0,00001,945
0,00002,392
0,00002,903
0,00003,482
0,00004,133
c,oooo^,86i
0,00005,570
0,00006,563
0,00007,546
0,00008,622
0.00009,796
0,0001 1,072
0,00012,454
0,00013,947
0,00015,534
0,00017,280
0,00019,1 29
Anom. Ec-
centri Sinus
Logarith.
0,000000
7,542906
7>843934
8,020021
8,144953
8,241855
8,321027
8,387962
8,445941
8,497078
8,542819
8,584193
8,621962
8,656702
8,688862
8,718800
8 746801
8,773101
8,797894
8,821342
8,843584
8,864738
8,884903
8,904168
8,922610
8.940296
8,957284
8,973628
8,989374
9,00456-3
9,019235
Differen-
tia Sinu-
um Logar.
301028
176087
124932
96902
79172
66935
57979
51137
45741
41374
37769
34740
32160
29938
28001
26300
H793
23448
22242
21154
20165
19265
18442
17686
16988
1 6344
15746
15189
14672
U u I
Ec-
centri Sinus
Verfus Log.
0,000000
4,784784
5,386843
5,739023
5,988898
6,182714
6,341071
6,474959
6,590936
6,693234
6,784741
6,943084
7,012597
7,076954
7,136868
7,192912
7,245555
7,295187
7'342i33
7,386668
7,429029
7,46941 7
7,508007
7s544P5 3
7,580389
7.614433
7,647191
7,6787 5 5
7,709210
7,738630
uijeren-
tia Sinu-
um Ver-
for^ Log.
602059
352180
^49875
193816
158357
133888
115977
102298
91507
82776
75567
69513
64357
59914
56044
52643
49632
46946
4453 5
42361
40388
38590
35436
34044
32758
31564
30455
29420
Amm.Eccent.
Sinus Verfus
Ndtiirnlis.
0,0000000
0,0000061
0,0000244
0,0000548
0,0000975
0,0001523
0,0002 I 04
0,0002906
o 0003899
0,0004934
0,0006092
0,0007371
0,0008772
0,0010294
0,001 1939
0,0013705
0,0015592
0,0017601
0,0019732
0,0021985
0,0024360
0,0026855
0,0029472
0,0032211
0,003 5071
0,0038053
0,00411 56
0,0044380
0,0047726
0,0051 193
0,0054781
TABVLA GENERAL IS PRO EXP ED TEN DO
CALCVLO MOTVS COMETICI IN ELLIPSIBVS.
Anom.
Eccen-
tri.
6 o
24
36
48
7 o
12
24
36
48
II o
Dupla Area
centri Sinus
Segmenti.
\ Logarith.
0,00015)129
9,019235
0,.0002II06
9,033421
0,00025214
9,0471 54
0,00025458
9,060460
0,00027842
9,073366
0,00030370
9,085894
0,00033047
9,098066
0,00035877
9,109901
0.00038863
9,121417
0,00042011
9,132630
0,00045324
9,143555
0,00048806
9,154208
0,00052463
9,164600
0,000562517
9^174744
0,00060314
9,184651
0,00064517
; 9,194332
0,00068910
^9,203797
0,00073499
9,213055
0,00078286
9,222115
0,00083277
9,230984
0,00088475
9,239670
0,00093884
9,248181
0,00099510
9,256523
0,00105355
9,264703
0,00111424
9,272726
0,00117722
9,280599
0,00124252
9,288326
0,00131019
9,295913
0,00138027
9,303364
0,00145280
9,310685
0,00152782
9,317879
Diff.
Sinuum
Logar.
141^)6
13733
13306
12906
12528
12172
11835
11516
11213
10925
10653
10392
1 0144
9907
9681
9465
9258
9060
8869
8686
'8511
8342
8180
8023
7873
7727
7587
7451
7321
7194
Anom. Ec-
centri Sinus
Verfus Log.
7,738630
7,767084
7>794633
7,821332
7.847233
7,872381
7,896518
7,920584
7.943715
7,966243
7,988199
8,009611
8,030505
8,050906
8,070836
8,090317
8,109367
8,128006
8,146251
8,164118
8,181622
8,198778
8,215599
8,232097
8,248286
8,264176
8,279777
8,295101
8,310157
8,324953
8,339499
Dif.
Sinuum
Verfor"^
Logar.
28454
27549
26699
25901
25148
24437
23766
23131
22528
21956
21412
20894
20401
19930
1 948 1
19050
18639
18245
17867
17504
17156
16821
16498
16189
15890
15601
15324
15056
14796
14546
Amm.Eccent.
Sinus Verfus
Namalis.
0,0054781
0,0058491
0,0062320
0,0066272
0,0070344
0,0074539
0,0078855
0,0083288
0,0087844
0,0092521
0,0097319
0,0102238
0,0107277
0,0112436
0,0117717
0,0123117
0,0128638
0,0134278
0,0140039
0,0145921
0,0151922
0,0158044
0,0164286
0,0170646
0,0177128
0,0183728
0,0190449
0,0197288
0,0204247
0,0211326
0,0218524
TABVLA GENERALIS PRO EX P EDI E N DO
CALCVLO MOTVS COMETIQI IN ELLIPSIBVS
Amm.
Eccen-
tri.
o 1
12 O
12
24
48
13 0
12
24
48
14 0
12
24
48
\6
12
24
36
48
17 o
JDwp/^ Are
Segmenti.
0,00152752
0,00160537
0,00168550
0300176824
0,00185365
0,00194175
0,00203259
0,00212622
0,00222267
0,00232198
0,00242420
0,00252937
0,00263752
0,00274871
0,00286297
0,00298034
0,00310087
0,00322459
0,00335154
0,00348177
0,00361532
0,00375223
0,00389254
0,00403629
O5O0418352
0,00433427
o,oo448b5<5
0,00464650
0,00480806
0,00497330
AHm<. Ec-
centrr Sinus
Logarith.
»317879
9,324950
.9,33TP03
9,338742
9,3454^9
9i352o88
9,358603
9,365016
OJ371330
9,377549
9,383675
L.S. iSf.
9,389711
9,395658
9,401520
9,407299
9,412996
9,418615
9,424156
9,429623
9,435016
9,440338
9>445 59o
9,450775
9,455893
9,460946
9,465935
9,470863
-9,475730
0,480538
;, 48 5 289
9,489982
Sinu-
Logar.
7,071
6953
6839
6727
6619
6515
6413
6314
6219
6126
6036
5947
5862
5779
5697
56x9
5541
5467
5393
5322
5252
5185
5118
5053
4989
4928
4867
480S
4751
4693
Amm. Ec- V ^.J^^
centn Sinus y^^fg^y
Verfus Log. ^^^^^^
>3 39499
8,353803
8,367872
8,381715
8,395338
8,408747
8,421951
8,434954
8,447762
8,460382
8,472819
8,485077
8,497162
&, 5 09 079
8,520832
8,532425
8,543863
8,555150
8,566289
8,577285
8,588141
8,598860
8,609445
8,619901
8,630229
8,640434
8,650518
8,660483
8,670332
8,680069
8,689695
14304
14069
1 3 842
13623
13410
13204
13003
12808
12620
12437
12258
12085
11917
11753
1 1 593
11438
11287
11139
10996
10856
10719
10585
10456
10328
10205
10084
9965
9849
9737
9626
Amm. Eccenti
Sinus Verfus
Naturalis.
0,0218524
1:1,0225841
0,02-33277
0,0240832
0,0248506
0,0256300
OJ0264211
0,0272240
0,0280390
0,0288657
0,0297043
0,0305546
0,0314168
0,0322909
0,0331767
0,0340742
0,0349835
0,0359045
0,0368374
0,0377821
0,0387383
0,0397062
0,0406860
0,0416774
0,0426804
0,0436952
0,0447216
0,0457597
0,0468093
0,0478706
0,0489435
TABU LA PARTIUM DiEl
DEC I MA L lUM.
Har.
0^25000
,0,291 <5 (5'
0,33333 '
0,37500
0,^1666 ■
0,45833'
0,50000
0,54166 •
0,58333'
0,62500
0^66666
0,70833'
0,75.000
0^79166'
0,83333'
0,87500
0^91666 ■
0,95833 ■
I,COOOO
1,04166 ■
Min.
^ Decimaks
partes.
Mn.
1
,000694 "
31
2
,001388 ••
32
3
,002083 ••
33
4
,002777.-
34
5
,003472 ••
35
6
,004166 ••
36
7
,004861 ••
37
8
,005555..
38
9
,006250
39
10
II
,006944 ••
40
41
,007638 ••
12
,008333..
42
^3
,009027 ..
43
14
,009722..
44
15
,010416 ••
45
16
,0x1111 ••
46
17
,01 1805 ..
47
18
,012500
4^
ip
,013194..
49
20
,013888.-
50
21
•,014583-
51
22
,015277--
52
23
^015572.-
53
24
.016666 '•
54
25
,017361 -•
5 5
26
;Oi8o55 ••
56
27
,018750
57
28
, 019444. •
58
2P
,020138 --
59
30
,020835 •■
60
Decimaks
partes.
,021527
,022222 '
,022916
,023611 .
,024305.
,025000
,025694'
,026388
,027083
,027777'
,028472 •
,025>i66'
,o29.8i5l •
,030555-
,031250
,031944'
,032638-
V03.3333"
,034027 ■
,034722.
,035416
,036111
,036805
,037500
,038194'
,038888-
,039583 •
,040277 .
,040972 •
,041666 ■
Sec.
Decimales
fanes.
,000011574
,000023148
,000034722 ■
,000046296
,000057870
,000069444 .
,000081019
,000092593
,000104166
,000115741
,000231482
3O00347222 •
,000462963
,000578704
,000694444.
Abacus pro Imgitu-
dine Arcuum Circula-
rium ad .'Radium i.
Gr. Arcuum Longit.
,0174532925
,0349065850
,0523598776
,0698131701
0872664626
,1047197551
,1221730477
,1596263402
,1570796327
,1745329252
Oecmiles Ntamri: hue Notn ( •• ) termin-iti conthuAntur in infmtum r.epc-
til/ofse Cjphr^ ultimo.
Catakgus pracipuarum Vixarum, ad Annum
MDCCXX ineuntem.
Stelkrum Denominatio.
Lofigitudo.
Lantudo.
Mag.
2
2
3
3
2
4
3
2
2
2
2
2
3
2
3
3
3
I
I
2
- 1
2
2
2
2
2
3
2
° 1 II
I 5 14 50
Tio 23 53
T18 147
T26 27 44
° / II
12 35 12 B
25 41 I B
20 2X 19 c\
9 5 10 A
25 56 19 B
7 8 58 B
8 28 16 B
51 13 50 B
9 57 12 P.
4<5 35 54 B
Extrema alae Pegafi
Caput Andromedae
Borea in ventre Ceti
Nodus lini Pifcium
Clara Cinguli AndrotTKdae
Auftralis in Cornu Arietis. i"^ * T*
Borea in eodem Cornu
L«cida Cathedrae Calliopeiss
Lucida Arietis, fupra verticem \
In peaore Cafliopeiae. Schedir.
y^9 16 0
«030
^ I 13 7
g 3 44 18
0 3 55 21
In flexura ad coxas Cafliopeias
Pes Auftralis Andromedss
Lucida Mandibulas Ceti
Genu Caffiopeias
Caput Medufae, Algol
gio 3 44
gio 20 44
0 10 24 15
^14 2 15
^22 15 42
48 47 35 B
27 4^ 7 B
12 37 0 A
4^ 23 26 B
22 23 47 B
4 0 37 B
30 5 20 H
5 46 22 A
2 35 58 A
5 25> 50 A
Lucida Pleiadum
Lucida in latere Perfei
Prima Hyadum, in naribus Tauri
Oculus Boreus Tauri
Oculus ejus Auftrinus, Aldeharm
»26 5 8
«28 n 4
5 I 52 34
^ 4 32 II
3r 5 52 0
Orionis pes lucid us, Rigel
Praecedens humerus Orionis
Capella, Hmus
Praecedens Clararum in Columba
Prima Balthei Orionis
3ri2 55 0
Ifi7 2 33
3x17 56 41
3Xi8 16 3S
ITiS 26 38
31 10 II A
16 51 30 A
22 51 47 b
57 24 ly A
2336 lA
5 21 34 B
24 33 23 A
25 20 17 A
2 14 24 A
59 15 8 A
Cornu Boreum Tauri
Media in Cingulo Orionis
Sequens in Cingulo Orionis
In extremitate Cornu Auftralis Tauri
Sequens clararum in Columba
iri8 38 56
31x9 32 44
ir2o 46 45
Tr2o 52 55
ir22 31 5
Ulrima Caudae Urfe minoris, PoUHs
Sequens humerus Orionis
Sequens humerus Aurigas
Praecedentis e Geminis pes prior
Sequens in eodem pede, Calx
X X X X
124 39 41
ir24 50 0
ir26 0 32'
312^ 31 43^
S I 23 lO
66 4 11 B
16 4 26 A
21 28 20 B
0 56 0 A
051 22 A
2
I
2
3
3
In
Catdogiis pr^cipmram Fixarum, ad Annum
MDCCXX meant em.
Stellarum Denominatio.
In extremo pede priore Canis majoris
Sequentis e Gerainis Pes lucid us
In Ore Canis rna)oris, Sirius
In Genu fequentis e Geminis
In Gubernaculo Argus Navis, Canopus
In iiiguine lequentis e Geminis
Caput praecedentis e Geminis, Cajior
Inter femora Canis Majoris
Caput fequentis e Geminis, ?ollux
In ventre Canis raaioris
Canis minor, Procyon
In Cauda Canis majoris
^lellus Boreus
Afellus Auftrinus
Borea prxcedentium in n Urfe majoris
Clara m Tabulate Navis Argus
Auftrina praecedentium in □ Urfo majoris
InCapite Leonis Auftralior
Cor Hydros
Sub Tabulato Navis
Trium in Colic Leonis Borea
Auftralis Colli Leonis
Media & Lucida Colli Leonis
Cor Leonis, P^egulus
Inferior fequentium in n Urfe majoris
Borea earundem
Antepenultima Caudss Draconis
In Eduftione Caudse Urfse majoris
In Seftione Tabulati Navis
Lucida in Lumbis Leonis
Auftralis in Clune Leonis
Penult! ma Cauds Urfe majoris
Auftralis in Femore Leonis
In Seftione Carin^e Arc us
Cauda Leonis
Longitude.
Lutitudo.
M,s..
° J /1
° / 1/
S 3 17 58
S 5 .11 18
Sxo 14 0
Six 4 40
Six 9 0
41 17 47 A
6 47 19 A
39 32 8 A
2 5 27 A
75 51 0 A
2
2
I
3
I
S14 36 20
$16 20, 20
S16 55 O'
Si9 21 9
Sj9 32 5
0 13 7 A
10 3 48 B
51 22 48 A
6 39 27 B
48 27 33 A
3
2
2
2
2
S21 55 21
S25 40 27
a 3 38 0
a 4 48 40
Rix 15 0
15 57 55 A
50 37 41 A
3 9 41 B
0 3 46 B
49 40 5 B
I
2
4
4
2
SII4 41 24
a 15 29 12
b1x6 47 16
^23 23 0
£123 29 0
58 2X 6 A
45 6 16 b
9 41 4 B
22 24 32 A
64 27 32 A
2
3
2
^23 38 41
SI 23 59 24
a 25 40 5
^25 56 20
£126 31 35
II 50 13 B
4 50 20 B
8 47 27 B
0 26 38 B
47 7 26 B
3
. 3
2
I
2
£127 5 4c
n| 3 28 II
W 4 5^ 25
ifj) 7 17 0
W J 22:21
51 39 36 B
66 21 43 h
54 20 1(5 B
55 52 30 ^
14 19 4 B
.3
3
■ 2
2
2
M 9 30' 31
iirii 44 0
11^13 38 c
rii)i5 2 ii
9 39 50 B
56 23 15 E
6 5 10 E
57 II Ji j^
12. 1(5 51 E
3
2
3
2
I
1
Lucida
Catalogm pnzcifuarum Vixarum,
tid Annum
MDCCXX ine [intern
Stellarum Denominatio.
Longitude,
° 1 II
Lattlndo.
Mng.
2
° 1 II
Lucida in inferiore Carina Navis
W19
17
10
72
39
32 A
Clara informis inter Caudas Urfse & Leonis
11^20
39
22
40
7
3 - Xi
53 B
2
yitima Caudae Urfe majoris
nj)2 2
59
24
54
24
0 B
2
In ancone alse Auftrince Virginis
W^^
II
14
0
40
42
47 B
23 A
T
Sedtionem Carinos Navis fequentium Borea
W^^
.IL
_3o
11
_3_
Proecedens in ala Auftrina Virginis
ft 0
5J
52
I
22
I B
Seftionem Carinae fequentium ' Auftralis
ft I
28
30
67
5
20 A
2
In ala Borea Virginis, Vindemiatrix
ft 6
2
40
\6
12
54 B
53 B
3
Secunda Alae Auftrinse Virginis
ft 6
17
II
2
48
3
Sub Cingulo Virginis in latere
^ 7
34
54
8
49
38
33
27 B
0 B
3
3
In humero praecedente Boot»
fti3
43
18
Spica
Virginis
fti9
5<5
22
2
2
0 A
I
Clar
I inter femora Bootaj, ArUurus
ft20
18
52
30
57
13
0 B
I
Ad r
ladicem Roboris Carolini
ft2 8
5
5
72
6 A
2
Luci
da in lumbis Centauri
ft-2 8
ni 2
26
51
56
.9
40
7
20 A
2
2
Genu pofter. praeced. Centauri, Bor. Qruc'is
47 45
51 A
In talo pedis ejufdem, Sequens Cruck
m 7
45
12
48
35
3 A
2
In imo pede pofler. feq. Centauri, Pe5 Crucis
ni 8
0
5
52
49
15 A
2
Lucida Corona: Borex
Til 8
20
56
44
21
17 B
2
Lanx Auftrina Librae
TTLii
fill I
II
40
0
22
51 B
2
2
Lucida in alvo Centauri
"^
20
39
32
0 A
Lanx Borea Libra
ffli5
27 40
8
31
45 B
2
Lucida colli Serpentis Ophiuchi
rnis
8
22
25
31
%6 B
2
!ln Genu fiaiilro priore Centauri
nii9
54
30
44
4 47 A
2
In pede dextro priore ejufdem
fn.26
I
16
42
27
48 A
15 B
I
3
Clarior in (iniftra manu Ophiuchi, Ted,
■ni2 8
23
15
17
17
Media trium in fronte Scorpii
11128
40
50
I
5^
31 A
2
Auftralis earundem
m 29
2
25
5
25
45 A
3
Borea frontis Scorpii
Iliac,
17
5^
I
3
9 B
•Genu pisece'ens Ophiuchi
/ 5
18
55
,11
4
25
31
_27_B
26 A
3 .
I
C.or :3'corpu, Ani&res
/ 5
51
'n-
Caput Herculis
/12
13
47
37
18
55 B
Genu fequens Ophiuchi
/14
4
28
7
H
12 B
3
In Cuipide Trianguli Auftralis
/16
56
27
45
5
33 A
In Planta pedis Ophiuchi
/17
30
I
47
38 A
3
C
anur
Catalogus pracifmriim Fixarum, ad Annum
MDCCXX inemtem.
Stellarum Denominatio.
Lo»gitudo.
/i8 30 32
7-20 40 0
/21 25 44
/21 40 16
/24 0 35
V? I 10 33
V§ 8 28 12
V? p 42 22
"Wii 22 18
V?!» 21 44
Latitudo,
0 / //
M.S.
Caput Ophiuchi
Aculeus Caudae Scorpii
Humerus fequens Ophiuchi ;
Spondylus quintus Caudx Scorpii
Lucida in capite Draconis
35 53 16 B
13 43 25 A
27 58 0 B
ip 36 15 A
74 58 2^B
10 5P 54 A
3 23 32 A
7 7 55 A
61 45 31 B
I 2p 0 B
3
2
3
2
2
In Auftrali parte Arcus Sagittarii
JHumerus finifter Sagittarii
Sub Axilla Sagittarii
Lucida Lyr^is
Sequens in Capite Sagitrarii
3
3
I
3
Ogulus Pavonis
Roftrum Cygfii
Lucida AquUse
Sequens e contiguis in Cornu Capricorni
Auftralis in eodem Cornu
"^19 53 56
V?27 20 37
V?27 48 24
V?2p 57 21
JivN 0 8 57
5^11 5<5 35
5wI2 22 17
«^1.7 52 42
^l^ 18 53
5wiP '2P 23
««ip 38 14
vw20 57 51
^2^ 47 52
^27 58 32>
J^2P 27 id
^2p 54 0'
H 1 26 32
K 4 5-8 49
K 7 59 0
Kii 14 '^'
Kii'so 27
Hip 34 13
K25 27 13
K27 0 0
H28 38 2
36 II 0 A
49 0 31 B
2p Ip II B
d 58 6 b
4 37 2.7 B;
32 50 22 a;
64 27 14. Bf
2 3.1 =18 A
3.5 22 46 A
8 38 43 B
2 32 IP A
57 9 20 B
4P 26 21 B
22 7 i5 B
10 40 38 B
21 4 54 ^
59 56 37 B
8 II 17 A
:'-: II 0 A
^j9 19 40 ^^
40 34 10 A
19 24 37 B
31 8 5B
10 0 41 /'i
20 45 52 ^
HOC
2
3
I
3
3
Ala Gruis prsecedens
Ala Borea Cygni
Proecedens duarum in Cauda Capricorni
In Edudione Cauda; Gruis ^
flumerus prsecedens Aquarii
2
3
3
2
3
>equens Caudx t^apricorni
Peftus Cygni
Ala Aullrina Cygni
Os Pegafi
Humerus fequens Aquarii
3
3
3
3
3
fn ore Pifcis notii, ^omAlhajit
Cauda Cygni
Tn Crure Aquarji, .Bshe.xi i,
Caput Hydri I
'n extreme Tlumise, Achertiar
I
2
3
2
I
Jiara in capuc ,PI)cenicis
a Hum^ero.Aiffi Pegafi, Markah
a. Crure Tegafi, ;Schea$
5orea.Caud^s Ccti
■ uftralis CaudcE Ccti
2
2
2
3
2
J J
TABULA
LOGARITHMORUM
LOGISTICOKUM.
"w x^, w #
TABVLA LOGARITHMORVM
LOGISTieORVM.
1
II
0
I
2
3
4
5
6
7
420
9331
9320
9310
9300
9289
9279
9269
9259
9249
^238
9228
9218
9208
9198
9188
9178
9168
9158
9148
9138
9128
9119
9109
9099
9089
9079
9070
9060
8
480
8751
8742
8733
8724
8715
8706
8697
8688
8679
8670
8661
8652
8643
8635
8626
8617
8608
8599
8591
8582
8573
8565
8556
8547
8539
8530
8522
8513
8504
8496
8487
9
540
'8239
8231
8223
8215
8207
8199
8191
8183
8175
&r67
8159
8152
8144
8136
8128
8120
81 1 2
8104
8097.
8o8s^
8081
8073^
8066
8058
8050
8043
8035
8027
8020
8012
8004-
D
60
120
180
240
300
360
o
I
2
3
4
5
6
7
8
9
lO
II
12
13
14
13
i6
17
18
19
20
21
■ 22
: 23
24
25
26
27
28
29
3c
17782
14771
13010
11761
10792
lOOOG
35563
32553
30792
I77IO
17639
17570
H735
14699
14664
12986
12962
12939
11743
11725
11707
10777
10763
10749
9988
9976
9964
9952
9940
9928
29542
28573
27782
I750I
17434
17368
14629
14594
14559
12915
12891
12868
11689
11671
11654
10734
10720
10706
27II2
26532
20621
17302
17238
I7175
14525
1 449 1
14457
12845
12821
12798
11636
11619
11601
10692
10678
io6.<53
9916
9905
9893
25563
25149
24771
I7II2
17050
16990
14424
14390
14357
12775
12753
1273.0
12707
12685
12663
1 2 640
12618
12596
11584
II 5 66
11,549
10649
10635
,10621
9881
9869
9858
9846
9834
9823
24424
24102
25802
16930
1687I
I6812
14325
14292
14260
11532
11515
1 1498
10608
10594
10580
23522
23259
23010
16755
16698
16642
16587
16532
16478
16425
16372
16320
16269
16218
16168
16I18
16069
160II
T422S
14196
14165
11481
11464
11447
10566
10552
105-39
981I
9800
97S8
22775
22553
22341
14133
14102
1 407 1
12574
12553
12531
11430
11413
11397
10525
10512
10498
9777
9765
9754
22139
21946
2176I
14040
14010
13979
12510
12488
12467
1 1380
II 363
1 1 347
10484
1 047 1
10458
9742
9731
9720
2158^
2 141 5
2124c
13949
13919
13890
12445
12424
12403
11351
11314
11298
10444
1 043 1
1 041 8
9708
9697
9686
2 I 09 I
2093s
20792
13860
13831
13802
12382
12362
12341
11282
11266
1 1 249
10404
10391
10378
9675
9664
9652
9050
9041
9031
TJBVLJ LOGARITHMORVM
LOGISTICORVM.
1
11
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
' 50
51
52
53
^4
55
5<5
■ 57
58
59
60
0
I
2
3
4
5
6
360
9652
9641
9630
9619
9608
9597
9586
9575
9564
9553
9542
9532
9521
9510
9499
9488
9478
9467
9456
9446
9435
9425
9414
9404
9393
9383
9372
9362
9351
9341
9331
7
420
9031
9021
9012
9002
8992
8983
8973
8964
8954
8945
8935
8926
8917
8907
8898
8888
8879
8870
8861
8851
8842
8^33
8824
8814.
8805
8796
8787
8778
8769
8760
8751
8
480
8487
8479
,8470
8462
8453
8445
S437
8428
8420
841 1
8403
8395
8386
8378
8370
8361
8353
8345
8337
8328
8320
8312
8304
8296
8288
8279
8271
8263
8255
8247
8239
9
540
8004
7997
7989
7981
7974
7966
7959
7951
7944
7936
7929
7921
7914
7906
7899
7891
7884
7877
7869
7862
7855
7847
7840
7832
7825
781,8 -
7811
7803
7796
7789
7782 ,
0
60
120
180
240
300
20792
16021
13802
12341
1 1 249
10378
20649
20512
20378
15973
15925
15878
13773
13745
13716
12320
1230Q
12279
11233
11217
11201
10365
10352
10339
20248
,20122
20000
15832
15786
15740
13688
13660
13632
12259
12239
12218
11186
11170
11154
10326
10313
10300
19881
i97<55
19652
15695
15651
15607
13604
13576
13549
12198
12178
12159
11138
111^3
11107
10287
10274
10261
19542
19435
19331
15563
15520
15477
13522
13495
13468
12139
12119
12C99
11091
11076
11061
10248
10235
10223
19228
19128
19031
15435
15393
15351
13441
13415
13388
12080
1205l
12041
11045
11030
11015
10210
10197
10185
18935
18842
1 875 1
15310
15269
15229
13362
13336
13310
12022
12003
11984
10999
10984
10969
10172
10160
1 0147
18661
18573
18487
15185
I 5149
15110
13284
13259
13233
11965
11946
11927
10954
10959
10924
10909
10894
10880
10865
10850
10835
10821
10806
10792
10135
10122
lOIlO
18403
18320
18239
15071
15032
14994
13208
13183
13158
11908
11889
11871
10098
10085
10073
18159
.18081
18004
14956
14918
14881
13133
13108
13083
11852
11834
11816
10061
10049
10036
10024
10012
lOOOO
17929
17855
17782
14844
14808
14771
13059
13034
1301C
11797
1 1 779
11761
T A B V L A LOGARITHM ORVM
LOGISTICORVM.
/
10
1 1
12
13
M
15
16
17
18
ip
20
21
/,
600
660
720
780
840
900
960
1020
1080
1 140
1200
1260
o
7782
73-6L
<J>9o
5642
6320
6021
5740
5477
I5229
4994
4771
4559
I
3
7774
7767
7750
7361
7354
7348
0984
Q'978
6972
6637
6631
6625
6315
6310
6305
6016
60 1 1
6006
5736
5731
5727
5473
5469
5464
5225
5221
5217
4990
4986
4983
4768
4764
4760
4556
4552
4549
4
5
6
7753
7745
7738
734'^
7335
7328
6966
6960
^954
6620
6614
5609
6300
6294
6289
6001
5991
^99^
5722
5718
5713
5460
5456
5452
5213
5209
5205
4979
4975
4971
4757
4753
4750
4546
4542
4539
7
8
9
7731
7724
7717
7322
7315
7309
594B
69^2
69^0
6603
0598
5592
6284
6279
6274
5987
5982
5077
5709
5704
5700
5447
5443
5439
5201
5197
5193
4967
4964
4960
4746
4742
4739
4535
4532
4528
lO
II
12
7710
7703
7696
7302
7296
7289
6930
6924
>59i8
0587
:^'5 8l
6576
6269
6264
6259
5973
5968
5963
5695
5691
5686
5435
5430
5426
5189
5185
5181
4956
4952
4949
473 5
4732
4728
4525
4522
4518
13
7688
7681
7674
7283
7276
7270
6912
6906
6900
6570
6565
6559
6254
6248
6243
5958
5954
594?
5082
5677
5^73
5422
5418
5414
5177
5173
5169
4945
4941
4937
4724
4721
4717
4515
4511
4508
: 16
I?
i8
7667
j66o
7653
7264
7257
7251
6894
6888
6882
«55 54
6548
.^543
6238
6233
6228
5944
593?
^'93:-
5669
5664
5660
5409
5405
5401
5165
5161
5157
4933
4930
4926
4714
4710
4707
4505
4501
4498
I?
20
2 1
7646
763.^
7632
7244
7238
7232
6877
0871
6855
6538;
'5532
6527
6223
6218
6213
5950
)05) 5397
5651 5393
5646 5389
5153
5149
5145
4922
4918
4915
4703
4699
4696
4494
4491
4488
23
24
7025
761b,
761 1
7225
72 1 c
7212
6859
68)3
6847
6521 f62o8
6516,6203
5510 6198
5 9 1 6
59 II
590G
5642
5^37
5^33
5384
5380
5376
5141
5137
5133
491 1
4907
4903
4692
4689
4685
4484
4481
4477
25
26
27
2^
20
i 30
7oo.|.
7)57
759c
7583
7577
75 7'^
7206
7200
7195
7187
7181
7175
5841
6836
6830
J824
6818
5612
6505; 6193
6500 6x88
6494 '6183
5902
5897
5892
5629
5624
5620
5372
5368
53^4
5359
5355
5351
5129
5125
5122
5118
5114
5iio|
4900
4896
4892
4889
4885
4881
4682
4578
4675
4671
4668
4664
4474
4471
4467
4464
4460
4457
6489'
6484;
5478
6178
5173
5i68
5888
5883
5878
5615
5611
5607
T A B V L A L 0 G A R I T H M 0 RV M
L 0 G I S T I C 0 RV M,-
/
10
II
12
13
14
15
16
17
18
1080
5110
19
II 40
4881
1200
4664
4660
21
1260
4457
4454
II
600
660
720
780
840
900
5878
960
5607
1020
5351
30
7570
7175
6812
6478
6168
SI
7563
7168
6807
6473
6163
5874
5602
5 347
5106
4877
^2
7556
7162
d8oi
6467
6158
5869
5598
5343
5102
4874
4657
4450
33
7H9
7156
6795
5462
6153
5864
5594
5339
5098
4870
4653
4650
4447
4444
34
7542
7149
6789
6457
6148
5860
5589
5335
5094
4866
35
7535
7H3
6784
6451
6143
5855
5585
533^
5090
4863
4646
4440
36
7528.
7137
6778
6446
6138
5850
5846
5580
557^
5326
5086
4859
4643
4639
4437
4434
37
7522
71 3 1
6772
6441
6133
5322
5082
4855
3«
7515
7124
6766
6435
6128
5841
5572
5318
5079
4852
4636
4450
39
7508
7118
6761
6430
6123
5836
5567
5563
5314
5310
5075
5071
4848
4844
4632
4529
4427
4424
40
7501
7112
6755
6425
6118
5832
41
7494
7106
6749
6420
<5ii3
5827
5559
5306
5067
4841
4625
4420
42
7488
7100
6743
6414
6108
5823
5554
5302
5063
4837
4622
4417
43
7481
7093
6738
6409
6103
5818
5550
5298
5059
4833
4618
4414
44
7474
7087
6732.
6404
6099
5813
5546
5294
5055
4830
4615
4410
45
46
7467
7461
7081
6726
6398
6094
5809
5541
5290
5051
7^4!
4826
4822
461 1
4608
4407
4404
7075
6721
6393
6089
5804
5557
5285
47
7454
7069
6715
6388
6084
5800
5533
5281
5044
4819
4604
4400
48
7447
7063
6709
6383
5079
5795
5528
5277.
5273
5040
5036
4815
4601
4397
4394
49
7441
7057
6704
6377
6074
5790
5524
48III4597
50
7434
7050
6698
6372
6069
5786
5520
5269
5032
4808
4594
4390
51
52
7427
7421
7044
^58
6692
6367
6064
5781
5516
5265
5261
)02 8
5025
4804
ij.800
4590
45'8'7
4387
4384
6687
6362
6059
5777
5511
53
7414
7032
6681
^357
6055
5772
5507
5257
5021
4797
4584
4380
54
7407
7026
6676
6351
6050
5768
5503
5253
5017
4793
4580
4577
55
7401
7020
6670
6346
6045
5763
5498
5240
5013
4789
4577
4374
36
7394
7014
6664
6341
6040
5758
5494
5245
5009
^786
4573
4370
57
7387
7008
6659
6336
6035
5754
5490
5241
5005
5002
4782
4778
4570
4566
45<57
4364
58
7381
7002
6653
6331
6030
5749
.486
I5237
59
7374
6996
664^
6325
6025
5745
5481
5^33
4998
4775
4563
4361
60
7368
5990
5642
6320
6021
5 740 15477
15229I4994
4771I4559
43^7
TJBV LA LO GARIT HMO RVM
LOGISTICORVM.
1
II
o
I
2
3
4
5
6
1
8
9
lO
II
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
22
1320
4357
4354
4351
4347
4344
4341
4338
4334
4331
4328
4325
4321
431S
23
1380
4164
4161
4158
4155
4152
4149
4145
4142
4139
4136
4133
4130
4127
24
1440
3979
3976
3973
3970
3967
3964
3961
3958
3955
3952
3949
3946
3943
25
1500
3802
3799
3796
3793
3791
3788
3785
3782
3779
3776
3773
3770
3768
26
1550
3632
3629
3526
3623
3621
3618
3615
3612
3610
3607
27
1620
3468
28
1680
3310
29
30
31
32
33
1740
3158
1800
3010
i860
2868
1920
2730
1980
259^
3465
34^3
3460
3457
3454
3452
3449
3446
3444
3307
3305
3302
3300
3297
3294
3292
3289
3287
3155
3153
3150
3008
3005
3003
2866
2863
2861
2728
2725
2723
2594
2592
2590
3148
3145
3H3
3140
3138
3135
3001
2998
2996
2993
2991
2989
2859
2856
2854
2852
2849
2847
2721
2719
2716
2714
2712
2710
25:88
2585
2583
2581
2579
2577
3604
3601
3598
3441
3438
3436
3284
3282
3279
3133
3130
3128
2986
2984
2981
2845
2842
2840
2707
2705
2703
2574
2572
2570
4315
43 1 1
4308
4305
4302
4298
4295
4292
4289
4285
4282
4279
4276
4273
4265'
4124
4120
4117
4114
411 1
4108
4105
4102
4099
4096
4092
4080
4086
4083
4080
3940
3937
3934
3931
3928
5925
3922
3919
3917
-3914
391 1
3908
3905
3902
3899
3896
3893
3890
3765
3762
3759
3756
375 3
3750
3596
3593
3590
3433
3431
3428
3276
3274
3271
3^25
3123
3:20
2979
2977
2974
2838
2835
2833
2701
2698
2696
2568
2566
2564
3587
3585
3582
3425
3423
3420
3259
3266
3264
3118
3115
3113
2572
2969
2967
2831
2828
2826
2694
2692
2689
2561
2559
2557
3747
3745
3742
3739
3736
3733
3730
3727
37^5
3579
3576
3574
3417
3415
3412
32(5i
3259
3256
31 10
3108
3105
2965
2962
2960
2824
2821
2819
2687
2685
2683
2555
2553
2551
3571
3568
35<55
3409
3407
3404
3253
3251
3248
3103
3101
3098
2958
2955
2953
2817
2815
2812
2681
2678
2676
2548
2H6
2544
3563
3560
3557
3401
3399
3396
3246
3243
3241
3096
3093
3091
295c
294S
2945
2810
2808
2805
2674
2672
2669
2542
2540
2538
28
29
30
4266
4263
4260
4077
4074
4071
3722
3719
3716
3555
3552
354^
3393
3391
3388
3238
3236
3233-
3088
3086
3083
2943
2941
2939
2803
2801
2798
2 66 J
2665
26(53
2535
2533
2531
T A BV LA LOGARITHMORVM
L 0 G I S T I C 0 RV M.
/
22
23
24
25
26
■ 27
28
29
30
31
32
33
//
1320
1380
1440
1500
I $60
1620
1680
1740
1800
i860
1920
1980
30
4260
4071
3890
3716
3549
3388
3233
3083
2939
2798
2663
2531 •
31
33
4256
4253
4250
4068
4065
4062
4059
4055
4052
3887
3884
3881
3878
3875
3872
3713
3710
3708
3705
3702
3699
3546
3544
3541
3538
3535
3533
3386
3383
3380
3378
3375
3372
3231
3228
3225
3223
3220
3218
3081
3078
3076
3073
3071
3069
2936
2931
2929
2927
2924
2796
2794
2792
2789
2787
2785
2660
2658
2656
2654
2652
2549
2529
2527
2525
2522
2520
2518
34
35
36
4247
4244
4240
'3?
3P
40
41
42
4237
4234
4231
4228
4224
4221
4049
4046
4043
4040
4037
4034
3869
3866
3863
3860
3857
3855
3696
3693
3691
3688
3685
3682
3530
3527
3525
3522
3519
3516
3370
3367
3365
3362
3359
3357
3215
3213
3210
3208
3205
3203
3066
3064
3061
3059
3056
3054
2922
2920
2917
2915
2912
2910
2782
2780
2778
2547
2545
2643
2516
2514
2512
2510
2507
2505
2775
2773
2771
2640
2638
2636
43
44
45
4218
4215
4212
4031
4028
4025
3852
3849
3846
3679
3^77
3674
3514
3511
3508
3354
3351
3349
3200
3198
3195
3052
3049
3047
2908
2905
2903
2769
2766
2764
2634
2632
2629
2503
2JOI
2499
46
48
4209
4205
4202
4022
4019
4016
3843
3840
3837
3671
3668
3665
3506
3503
3500
3346
3 344
3341
3193
3190
3188
3044
304-
3059
2901
2898
2S96
2762
2760
2757
2627
2625
2623
2497
2494
2492
49
50
51
4199
4196
4193
4°i3
4010
4007
3854
3831
3.28
3663
3660
3657
3497
5495
3492
3338
3336
3333
3185
3183
3180
3037
3034
5032
2894
2891
2889
2755
2753
2750
2621
2618
2616
2490
2488
2485
52
53
54
4189
4180
4183
4004
4001
3998
3825
3822
3820
3654
3651
3649
3489
3487
3484
3331
3328
3325
3178
3175
3173
3030
3027
3025
2887
2884
2882
2748
2746
2744
2614
2612
2610
2484
2482
2480
55
56
57
4180
4177
4174
S995
3991
3988
3817
3814
3811
3646
3 '543
3040
3481
3479
3476
3323
532c
3318
3170
3168
31^5
3022
3020
3018
2880
2877
2875
2741
2739
2737
260J
2605
2603
2477
2475
2473
58
5P
60
4171
4167
4104
3985
3982
3979
3808
3805
3802
3^37
3635
3632
3473
3471
3468
5315
3313
3310
3163
316c
3158
3015
3013
3010
2873
2870
2868
2735
,2732
2730
2601
2599
2596
2471
2^69
2467
T J B V L J LOGARITHMORVM
LO G IS TIC 0 RDM,
>
34
35
3^
37
38
39
40
41;
42
43
44
45
//
2040
2100
zi66
2220
2280
2340
2400
2460
2520
2580
2640
2700
o
2467
2341
2218
2099
1984
1 871
-1 761
1654
1549
1447
1347
1249
I
2
3
4
5
6
2465
2462
2460
2458
2456
2454
2339
2337
2335
2333
2331
2328
2216
2214-
2212
2210
2208
2206
2098
2096
2094
2092
2090
2088
1982
1980
1978
1976
1974
1972
1869
1867
1865
1863
1862
i860
1759
1757
1755
1754
1752
1750
16)2
1650
1648
1647
1645
1643
1547
1546
1544
1542
1540
1539
1445
1443
1442
1345
J 344
.1342
1248
1246
124J
1440
1438
1437
1340
1339
1337
1243
1241
1240
7
8
9
2452
24J0
2448
2326
2324
2322
2204
2202
2200
2o8p
2084
2082
1970
1968
1967
1858
1856
1854
1748
1746
1745
1641
1640
1638
1537
1535
1534
1435
1433
1432
1335
1334
1332
1238
1237
1235
lO
II
12
2445
2443
2441
2320
2318
2316
2198
2196
2194
2080
2078
2076
1965
1963
I96I
1852
1850
1849
1743
1741
1739
1636
1634
1633
1532
1530
1528
1430
1428
1427
1331
1329
1327
1233
1232
1230
13
15
2439
2437
H35
2 3M
2312
2310
2192
2190
2188
2074
2072
2070
1959
1957
1955
1847
1845
1843
1737
1736
1734
I63I
1629
1627
1527
1525
1523
1425
1423
1422
1326
1324
1322
1229
1227
1225
16
17
18
2433
2431
2429
2308
2306
2304
2186
2184
2182
2068
2066
2064
1953
195 I
1950
1 841
1839
1838
1732
1730
1728
1626
1624
1622
1522
1520
1518
1420
1418
1417
1321
1 319
1317
1224
1222
I22I
20
21
2426
2424
2422
2302
2300
2298
2180
2178
2175
2062
20c5l
2059
1948
1946
1944
1836
1834
18,2
1727
1725
1723
1620
I6I9
I6I7
1516
15 I 5
1513
1415
1413
1412
1316
1314
1513
I219
I217
I216
22
23
24;
2420
2418
2416
2296
2294
2291
2174
2172
2170
2057
2055
2053
1942
1940
1938
1830
1828
1827
1721
1719
1718
161 5
1613
1612
1511
1510
1508
1410
i/)o8
1407
1311
1309
1308
I214
I213
121 I
25
26
27
28
29
30
2414
2412
2410
2289
2287
2285
2283
2281
2279
2l5c
2167
2165
216-3
2161
2159
2051
2049
2047
2045
2043
2041
1936
1934
1933
I93l
■1929
1927
1825
1823
1821
1819
1817
1816
1716
1714
1712
1711
1709
1707
1610
1608
1606
1605
1603
1 601
1506
1504
1503
1501
1499
1498
1405
1403
1402
1400
1398
1397
1306
1304
1303
1301
1300
1298
1209
1208
1206
1205
1203
I20I
2408
2405
2403
TABVLA L 0 GA R IT H MO RV M
LOGISTICORVM.
1
34
35
36
37
38
39
40
41
42
43
44
45
II
2040
2100
2160
2220
2280
2340
2400
2460
2520
2580
2540
2700
3°
2403
2279
2159
2041
1927
1816
1707
1601
1498
1397
1298
1201
31
32
2401
27,99
23^7
2277
2275
2273
2157
2155
2153
2039
2037
2035
1925
1923
1921
1814
1812
1810
1705
1703
1702
1599
1598
1596
1496
1494
1493
^395
1393
1392
1296
1295
1293
1200
1 198
1197
34
35
36
23P5
2393
2391
2271
2269
2267
2151
2149
2147
2033
2032
2030
1919
1918
1916
1808
1806
1805
1700
1698
1696
1594
1593
1591
149 1
1489
1487
1390
1388
1387
1291
1290
1288
1 195
1193
1 192
37
38
3^
2389
2387
2384
22^5
2263
2261
2145
2143
2141
2028
2026
2024
1914
1912
1910
1803
1 801
1799
1694
1693
169 1
1589
1587
1585
i486
1484
1482
1385
1383
1382
1287
1285
1283
1190
1 189
1187
40
41
42
2382
2380
2378
2259
2257
2255
2139
2137
2135
2022
2020
2018
1908
1906
1904
1797
1795
1794
1689
1687
1686
1584
1582
1580
1481
1479
1477
1380
1378
1377
1282
1280
1278
1186
1184
1 1 82
43
44
45
2376
2374
2372
2253
2251
2249
2133
2131
2129
2016
2014
2012
1903
1901
1899
1792
1790
1788
1684
1682
1680
1578
1577
1575
1476
1474
1472
1375
1375
1372
1277
1275
1274
1181
1179
1178
46
47
48
49
51
52
53
54
2370
2368
2366
2364
2362
2359
2357
2355
2353
2247
2245
2243
2241
2239
2237
2235
2235
2231
2127
2125
2123
2121
2119
2117
2115
2113
211 1
2010
2009
2007
2005
2003
2001
1999
1997
1995
1897
1895
1893
1891
1889
188S
1886
1884
1882
1786
1785
1783
1678
1677
1675
1573
1571
1570
1568
1566
1565
•1553
1561
1559
1470
1469
1467
1465
1464
1462
1460
1459
1457
1370
1368
1367
1365
1363
1362
1272
1270
1269
12*67
1266
1264
1176
1174
1173
1171
1170
1 168
1 1 67
1165
1163
1781
1779
1777
1775
1774
1772
1573
1 67 1
1670
1668
1666
1664
1360
1359
1357
1262
1261
1259
55
36
57
2351
2349
2347
2229
2227
2225
2109
2107
2105
1995
1991
1989
1880
1878
1876
1770
1768
1766
1663
\66\
1659
1558
1556
1554
1455
1454
1452
1355
1354
1352
1257
1256
1254
1162
1 1 60
1159
58
59
60
2345
2343
2341
2223
2220
2218
2103
2101
2099
1987
1986
1984
1875
1873
1871
1765
1763
1761
1^57
1655
1654
1552
1551
1549
1450
1449
1447
1350
1349
^347
1253
1251
1249
1157
1156
11-54
TJBVLJ LOGARITHMORVM
LOGISTICORVM.
1
46
47
48
49
50
51
52
53
H
55
56
57
58
59
1
— —
II
2760
.820
2880
2940
3000
3060
3120
3180
3240
3300
3360
3420
3480
3J40 :
o
II54
1061
969
880
792
706
621
5 39
458
378
300
223
147
73
— —
I
II52
1059
96S
878
790
704
620
537
456
377
298
221
146
72 ;
2
II51
1057
966
877
7«9
703
619
536
455
375
297
220
145
71
3
II49
lojd
965
«75
787
702
617
535
454
374
296
219
143
69
i 4
I 148
1054
963
874
786
700
616
533
452
373
294
218
142
68
' 5
1 1 46
1053
962
872
7« 5
699
615
532
451
371
293
216
141
61
i 6
1x45
1051
960
871
7«3
691
613
531
450
370
292
215
140
66
\ ' 1
I 143
1050
9^9
869
782
696
612
529
448
3^9
291
214
139
64
I «
I 141
1048
951
858
780
694
610
528
447
367
289
213
137
63
' 9
1 140
1047
956
866
779
693
609
526
446
366
288
21 1
136
62
lo
II38
1045
954
865
777
692
608
525
444
365
287
210
135
61
II
"37
1044
953
86?
776
690
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i/^c ^an Tabula Logiftices addenda efl cum efl in Primo tennim po^ortioniSj
fubtrahenda in Secundo & "Tertio.
__l
p I N I a
LUNiE MERIDIANiE
ASCENSIONES RECT^ GRENOVICI OBSERVATiE
a die Jan. 13. Anni Juliani MDCCXXII ad
diem Dec. 4. Anni MDCCXXV,
ET EJUSDEM
LONGITUDINES IBIDEM OBSERVAT^
a die Dec. 5. Anni Juliani MDCCXXV ad
diem Dec. 27. Anni MDCCXXXIX,
CUM COMPUTO TABULARUM
C O L L A T iE.
LUN^ UE(\IT)IANJB JSCEKSIONES %ECTJE
GRENOVICI OBSERVAT^.
CUM COMPUTO NOSTRO C 0 L L J T yS,
Anno JuLiANO MDCC XXII. Currente.
Tranfit
As Limhi
Argnment.
Diflantia
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Luna. T. aq.
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3 5 54
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39 14 0
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6 10 7
39 13 25
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51 42 0
51 41 3
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15
7 54 2°
6 11 58
3 29 41
64 20 0
64 19 40
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8 41 53
6 12 54
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77 14 10
77 13 24
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17
9 30 20
6 13 49
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90 22 0
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18
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19
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116 J3 0
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6 16 37
5 25 26
3 9 6
130 13 0
130 lo 55
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6 37 10
7 6 58
72 35 0
72 53 44
13
7 25 44
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279 29 20
279 24 15—5 5
29
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8 17 I
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20 29 20
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31
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8 27 6
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228 34 45
228 31 20—3 25
€ fo
LUN^ ME^WIJNJS JSCEKSIONES %ECr^
GRENOVICI 0'BSERVATM
CUM COMPUTO NOSTRO COLLATM.
Anno JuLiANo MDCCXXII. Currente.
Tranfitus Ltnibi
Lttna T. 'lea.
Argument.
Annuum.
M.
D.
H.
/
//
Apt.
24
16
28
0
25
17
27
51
29
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0
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9 10 15
9 13 48
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8
2
57
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57
0.
/
//
290
40
30
306
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53
15
Afcenf.ReB.
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290 37 43
306 36 44
003 48 53
/
//
2
—3
—4
47
i5
22
LUKJB ME(I{IDIAnJE JSCENSIONES (I^ECTJB
GRENOVICI CBSERFATjE
CUM COMTUTO NOSTRO COLLJTy£.
- Anno JuLiANO MD CXXII. Currente.
Tranfit&s Limit
Argument.
T)iftantia
Afcenf.ReB.
Afcenf.ReB.
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Annuum.
€ ^ii
Limhi Lima
Limit Luna
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II II
U. D. H. / //
S. 0. /
5. D. /
0. / ir
0. / //
JuUi.::Z 4 38 lo
II 12 42
2 8 22
186 39 30
186 39 25
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% 9 9 3^ 30
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2 22 21
tii;2o 12 40
ft20 13 0
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10 5 4 20
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3 2 30
210 14 0
210 13 40
—0 20
: : 12 7 41 10
II 16 12
3 28 13
236 29 0
236 27 35
— I 2)
15 10 3P 6
II 18 51
5 10 3
284 2 20
284 0 20
2 0
Cent. \6 II 44 55
II IP 44
5 24 38
301 31 30
301 30 32
—0 58
: : 19 14 44 40
II 22 23
7 8 22
349 33 0
349 34 20
-fl 20
: : 21 16 25 30
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8 5 13
17 2 20
17 0 40
1 40
22 17 14 36
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8 19 36
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30 1 20
1 40
23 18 2 0
II 25 53
9 2 32
42 56 43
42 54 54
— I 51
24 18 49 50
II 26 47
9 15 2
2 13 53
55 55 45
55 54 5
218 10 9
1 40
Aug. 7 4 45 50
G 8 15
218 9 0
10 7 20 15
0 10 54
3 22 58
259 49 0
259 48 50
— 0 10
II 8 20 5
0 II 48
4 6 52
275 48 0
275 45 43
—1 17
13 10 Z5 47
0 13 35
5 5 37
309 17 0
309 14 35
—2 25
Ce?it. 14 It 28 25
0 14 29
5 20 14
325 58 15
325 56 27
—1 48
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0 15 23
6 4 48
341 35 30
341 33 37
—1 53
17 14 15 7
0 17 10
7 3 21
10 43 0
10 41 24
—1 36
18 15 •) 22
0 iS 3
7 17 9
24 18 0
24 16 22
-1 38
20 \6 43 53
0 19 50
8 13 32
50 58 0
50 55 34
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21 17 33 32
0 20 43
8 2d 7
64 23 30
64 20 11
—3 19
26 21 42 4
0 25 II
10 24 24
131 38 0
131 38 43
+0 43
Seft.::^ 7 30 25
I 2 28
I 27 41
228 42 20
■ 228 43 53
+1 35
^ 5 4 19 ?o
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2 8 15
240 8 0
240 12 33
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8 7 8 42
I 5 55
3 18 24
285 30 20
285 31 31
+ 1 II
9 8 9 34
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4 2 30
301 45 0
301 46 II
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11 10. 8 21
I 8 38
5 I 8
333 29 45
333 27 17
-2 28
12 II 47
I 9 33
5 15 28
348 27 40
348 25 42
—I 58
Cent. 13 II 58 42
I 10 27
5 29 40
380
3 5 25
—2 35
15 13 42 10
I 12 15
6 27 17
31 2 30
30 59 56
—2 34
16 14 32 44
I 13 9
7 10 36
44 42 0
44 39 01
—2 59
17 15 23 38
I 14 4
7 23 53
58 2<5 50
58 23 18
—3 32
18 \6 15 2
I 14 58
8 6 8
72 19 0
72 15 35
—3 25
LliNM UE(^1V1AKM ASCEKSIOKES (^ECT^
GRENOVICI OBS ERFJTyE
CUM COMTUTO NOSTRO COLLATE.
^ nno J u L I A N 0 M D CCXXII. Currente.
Trafzfit
h Limhi
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Afcenf.ReB.
Afcenf.ReH.
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r.a^.
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S. 0. /
€ ^@
Limhi Luna
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Limhi Luna
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M. D.
H. / //
i. 0. /
0. / //
Q. f f
1 It
oaoi. 5
5 2 7
I 2p 29
2 i5 36
280 23 7
280 28 58
-f5 51
7
7 0 20
2 , I 19
3 14 13
311 59 20
312 0 54
.-f I 34
8
7 57-27
2 2 14
3 28 15
327 17 50
327 17 52
—0 2
9
8 52 17
2 3 9
4 12 20
342 I 30
342 0 32
— 0 58
lO
9 44 53
244
4 26 20
356 12 0
356 10 55
—I 5
CeTit. 1 1
10 37 7
2 4 58
5 10 12
10 16 35
10 15 25
— I 10
CeJit. 1 2
II 27 29
2 5 54
5 23 48
23 53 20
23 51 48
—I 32
Cent. 13
12 17 56
2 d 49
679
37 31 25
37 29 45
— 'I 40
14
13 10 17
2 7 44
(5 20 13
51 38 0
51 35 29
—2 31
15
14 2 23
2 8 39
7 I 58
65 40 40
65 37 56
—2 44
16
14 55 17
2 9 34
7 15 24
79 55 30
79 51 22
-48
17
15 48 II
2 10 29
7 27 33
94 10 20
94 5 4°
—4 40
19
17 30 42
2 1 2 20
8 21 8
121 50 30
121 45 29
—5 I
20
18 18 57
2 15 15
9 2 40
134 ^$ 20
134 50 57
—4 23
23
20 31 58
2 16 0
10 6 50
171 8 30
171 6 10
— 2 20
■24
21 13 43
2 16 55
2 24 18
10 18 17
I 28 27
182 40 40
182 38 0
— 2 40
+ 3 34
Nov. 2
3 5^ 34
291 33 ^°
291 35 44
3
4 55 45
2 2J 14
2 12 13
307 22 30
307 25 56
-^3 26
5
6 47 14
2 27 5
3 10 0
337 17 30
337 t8 46
-fi 16
7
8 28 50
2 28 56
4 7 32
4 44 0
4 44 10
-f-o 10
9
10 6 38
3 0 48
5 4 17
31 13 20
31 13 14
— 0 6
10
10 56 22
3 I 43
5 17 16
44 40 30
44 41 0
-4-0 30
Cf;?f. II
II 48 42
3 2 39
5 29 58
58 46 50
58 46 3
—0 47
15
13 35 55
3 4 31
6 24 33
87 37 30
87 34 59
—2.31
H
14 29 $)
3 5 26
7 6 27
loi 57 30
loi 54 18
—3 12
16
16 II 5
3 7 18
7 29 43
129 28 4J
129 24 45
—4 0
18
17 43 15
3 9 9
822 32
154 33 20
154 30 32
—2 48
19
18 2(5 8
3 10 5
9 3 56
166 i-j 45
16(5 15 57
—I 48
so
19 7 56
3 " T
9 15 24
177 45 30
^77 43 44
— I 46
Ecl%2-i
2 7 25
3 16 40
3 21 16
000
2 7 35
/i<5 17 43
332 58 30
/16 17 30
3S3 0 12
— 0 13
-hi 42
Dtc. 2
4 43 51
4
6 26 40
3 23 8
3 5 18
00 43 0
CO 43 13
-fo 13
^ 7
8 50 45
3 25 56
41J 8
39 48 0
39 4(5 46 — I 14
Cf«f.io
II 24 37I 3 28 44 1 5 22 17 I 81 19 30
81 19 8 —0 22
LUNJS ME(^IDIAKM ASCEKSIOKES^ECT^
GRENOFICI OBSERFATM
CUM COMPUTO NOSTRO COLLATM.
Anno JuLiANO MDCC XXII. Currente.
Tranfttm Limit
Argument.
"Diflantia
Afcenf.ReB.
Afcenf.Rea.
Error
Luna. T. ag.
Annuum.
€ ^c§
LimU Luna
Ohfervata.
Limhi Luna
Comput.
0. / //
Comf.
M. D. H. " n
S. 0, /
; i'. 0. /
647
0, f f
f //
Cent. II 12 17 46
3 29 40
95 38 0
95 3^ 55
—I 5
Dec. 13 14 2 41
4 I 32
6 27 10
123 54 30
123 51 40
—2 50
15 15 37 24
4 3 24
7 19 43
149 37 20
14? 35 7
—2 13
17 17 3 0
4 5 16
I '^ '^
173 3 0
173 I 18
—I 42
18 17 44 0
4 6 II
8 23 38
184 19 0
184 17 22
-I 38
20 19 7 I?
4 8 3
9 17 5
207 10 30
207 8 44
— I 46
21 19 51 54
4 8 5P
9 29 15
219 20 0
219 18 37
—I 23
22 20 3P 58
4 9 55
10 II 46
232 22 0
232 19 56
—2 4
X>ff. 31 4 22 38
4 17 25
2 2 25
356 14 20
356 15 0
+0 40
% 31 6 13 20
4 17 29
2 3 28
357 31 25
357 32 47
-fi 22
Anno Julian
0 MDCC
:X5CIII. Currente.
'^an. 2 6 0 48
4 IP 17
2 29 54
22 49 0
22 47 50
—I 10
d p 18 p
4 23 I
4 20 46
76 14 0
7(5 II 57
-2 3
7 10 10 17
4 23 57
5 2 39
90 17 20
90 16 13
-^i 7
Cent. 10 12 44 36
4 26 44
6 6 50
131 55 45
131 53 26
-—2 19
II 13 32 40
4 27 40
6 17 55
144 58 0
144 55 43
—2 17
12 14 17 13
4 28 36
5 28 58
157 7 0
157 3 33
—3 27
13 14 59 40
4 29 32
7 10 0
168 44 30
168 42 25
—2 4
14 If 40 44
5 0 27
7 21 8
180 I 30
179 59 30
—.2 0
Jan. 16 17 2 II
5 2 18
8 13 54
202 25 0
202 24 4
— 0 56
—I 3
Feb. :: 7 II 27 22
5 21 47
5 17 9
140 10 0
140 8 57
9 12 57 47
5 23 38
6 9 ^S
164 48 15
154 45 50
—2 25
:: 10 13 39 10
5 24 33
6 19 59
176 10 0
175 7 20
— 2 40
II 14 19 51
5 25 28
7 I 0
187 21 0
187 17 19
—3 41
12 15 0 21
5 25 23
7 12 II
198 29 20
198 25 34
— 2 4.5
13 15 41 50
5 27 17
7 23 3^
209 52 20
209 49 53
—2 27
17 18 55 30
6 0 58
<J 8 31
9 12 47
I 9 9
262 21 40
252 20 14
—I 26
Feh.%26 7 32 13
27 33 30
27 35 0
-f-i 30
Mart.v.i 5 8 23
6 II 5
2 16 46
66 50 50
66 48 19
—2 31
2 6 I 23
6 II 59
2 29 27
81 7 0
81 4 4
—2 5<5
3 6 54 22
6 12 54
3 II 43
95 23 0
95 19 47
—3 13
C c
LUNJB ME(K1'DIAKM ASCEHSIONES ^ECTjB
GRENOVICI OBSERVAT M
CUM COMTUTO NOSTRO COLLATE.
Anno
JuLiANo MDCCXXIII. Currente.
Tranfitus Limit
Argument.
TDifiantia
Afcenf.Rea.
Afcenf. ReB.
Error
Luna T. aq.
Annmim.
€ ^S
Limli Lunx.
Limli Luna
Comp.
Ohjervata.
Comput.
U. D. H. / //
S. 0. /
6 13 49
5. 0. /
0. / //
Q. ft!
1 n
Mart. 4 7 46 28
3 23 38
109 26 0
109 22 53
—3 7
<5 9 25 2
6 15 38
4 i^ 35
136 6 50
136 5 12
-I 38
7 10 10 47
6 i5 33
4 ^7 43
148 34 0
148 32 20
—I 40
8 10 54 21
6 17 27
5 8 45
160 28 30
160 27 z
-I 38
11 12 59 41
5 20 10
6 II 45
194 51 0
iP4 47 44
—3 16
12 13 40 55
6 21 4
6 22 58
206! 10 20
206 6 52
-3 28
13 14 23 38
6 21 58
7 4 25
217 52 0
217 48 50
—3 10
14 15 8 51
6 22 52
7 16 7
230 II 10
230 7 2
-4 8
15 15 57 6
6 23 47
7 28 II
243 1(5 10
243 12 27
—3 43
16 1(5 48 57
6 24 41
8 10 55
257 15 0
257 II 38
—3 22
17 17 44 18
6 25 36
8 23 33
272 6 50
272 3 12
-3 38
18 18 42 21
6 26 30
9 6 52
287 39 0
287 34 44
— 4 16
IP IP 41 36
6 27 25
9 20 35
303 29 15
303 24 25
—4 50
20 20 40 27
6 28 IP
10 4 37
319 13 4°
31P 8 32
—5 8
21 21 37 42
5 29 14
10 18 54
334 34 °
334 29 21
—4 39
22 22 32 55
708
7 3 45
II 3 19
349 23 30
349 i3 24
45 42 35
-5 6
-fo 20
27 2 I 49
100
45 42 15
Mar. 29 3 50 26
7 5 33
1 26 38
74 54 1°
74 53 21
—0 49
Jfri. I <5 31 30
7 8 15
3 3 45
118 14 15
118 12 18
—I 57
2 7 21 6
19 9
3 15 28
131 39 15
131 37 49
—I 28
4 8 52 10
7 10 56
4 8 13
156 27 20
156 26 45
— 0 35
6 10 15 32
7 12 43
5 0 31
179 ip 40
179 19 38
— 0 2
7 10 56 10
7 13 37
5 II 40
190 30 0
190 28 57
—I 3
8 II 37 15
7 14 30
5 22 54
201 47 0
201 47 15
—I 45
Cent. 9 12 20 43
7 15 24
d 4 17
213 40 0
213 37 43
—2 17
10 13 6 31
7 16 17
6 15 55
225 8 0
2 2d 4 40
—3 20
12 14 45 20
7 i^ 4
7 10 I
252 52 20
252 48 45
—3 3 5
14 Id 3<5 44
7 19 52
S 5 33
282 46 30
282 42 29
—4 I
16 18 32 25
7 21 40
9 2 31
313 44 45
313 40 II
-4 34
18 20 22 26
7 23 26
10 0 30
343 17 45
343 II 57
-5 48
19 21 14 41
7 24 20
10 14 41
357 22 45
357 i^ 50
—5 55
26 2 31 25
7 29 40
I 6 42
82 41 30
82 40 24
—I 6
^/T/. 29 5 13 41
8 2 20
2 13 44
I2d 19 45
12(5 19 44
— 0 I
iV/^j//. I 6 48 4
847
3 7 4
151 57 40
151 57 48
+ 0 8
LUKjE MEIIIDIJN^ JSCENSIONES'(JlECTJE
GRENOVICI OmSERVATJE
CUM COMTUTO NOSTRO COLLATE.
Anno JuLiANO MD CCXXIII. Currente.
Tranfttits Limli
Argument.
Di/^antia
JfcenfReff.
Afcenf.ReH.-
Error
Luna
T.Xq.
Anmmrn.
€^@
Limli Luna
Limbi Luna
Comf.
Ohfervata.
0. / //
Comfut.
If II
M, D.
H. / //
S. 0. /
5. 0. /
0. / //
Mail. 2
7 31 II
8 4 59
3 18 2p
163 45 20
163 46 01
+0 41
3
8 12 34
8 5 52
3 29 49
175 6 45
175 8 2
+1 17
4
8 53 10
8 645
4 II 9
186 Id 30
185 17 22
-fo 52
: : 5
9 33 48
8 7 38
4 22 31
197 27 0
197 28 43
+ 1 43
6
10 15 44
8 8 30
5 4 0
208 56 45
208 57 5
-]- 0 20
7
10 59 45
8 9 23
5 15 40
220 58 0
220 57 12
—0 4g
9
12 3^ 41
8 II 9
6 9 47
247 59 30
247 56 5j
—2 35
lO
13 34 2
8 12 2
5 22 17
262 35 0
262 32 58
—3 2
26
3 3 17
T25TJ
I 12 2
120 15 0
120 14 54
— 0 6
28
4 41 44
8 27 2
2 5 37
145 54 0
146 54 20
-ho 20
Matt. 31
6 49 3
8 29 4G
3 10 I
181 46 30
181 47 40
-}-i 10
y^z»//. I
7 29 20
9 0 32
3 21 29
192 51 30
192 53 14
-)-i 44
2
8 10 20
9 I 24
4 3 3
204 7 15
204 8 48
-i-i 33
3
8 5? 3
9 2 17
"^ 't H
215 49 0
215 50 39
+ 1 39
5
10 27 56
9 4 2
5 8 58
241 34 20
241 34 28
+0 8
C^»^ 6
II 2232
9 4 55
5 21 31
256 14 50
256 14 32
— 0 18
Cent. 7
12 19 47
9 5 47
6 4 24
271 35 0
271 34 30
— 0 30
8
13 20 44
9 6 40
6 17 36
287 51 0
287 49 59
— I I
Cfa^.::9
14 IP 31
9 7 33
7 I 5
303 34 15
303 33 23
— 0 52
10
15 19 9
9 8 26
7 14 49
319 30 20
319 28 42
— I 38
II
16 14 38
9 9 19
I '^ 42
334 24 0
334 21 5S
— 2 2
13
17 57 16
9 11 4
8 26 38
02 6 0
02 I 51
—4 9
15
19 34 45
9 12 49
9 24 14
28 30 30
28 25 7
— ^4 23
18
22 9 34
9 15 28
II 4 0
70 \6 40
70 13 50
—2 50
: : 28
5 24 58
9 23 21
2 20 15
188 17 45
188 18 58
-HI 13
2p
6 5 8
9 24 13
3 I 44
199 21 0
199 23 5
■f 2 5 ■
'^unli. 30
6 46 29
9 25 5
3 13 23
210 42 0
2 1 0 44 5
+ 2 5
>///. I
7 30 4
9 n 57
3 25 15
222 36 45
222 38 56
-1-2 l:v
2
8 17 3
9 26 5c
4 7 24
235 22 30
235 23 50
~+-I 20
4
10 3 45
9 28 35
5 2 43
254 6 0
264 5 20
—0 40
5
II 30
9 29 2fc
5 15 56
279 56 0
279 55 14
— 0 46
Cent. 7
13 6 10
10 I 15
6 13 20
312 47 0
312 45 13
— 0 47
10
15 53 12
10 3 53
7 25 42
357 l^ 40
357 35 54
0 45
11
16 43 22 ! 10 4 46I
8 9 48
II 10 0
11 8 14
— I 46
ILUN^ UE(^IVIANj€ jsceksiones <^ects
GRENOFICIOBSERFJTJE
CUM COMPUTO NOSTRO COLLATE.
Anno J-uLiANo MD CGXXIII. Currente.
Traujitth Umhi
Argument.
Difiantia
Afcenf.Rea.
Afcenf.Rea.
Error
LmidiT. aq.
Annuunu
€^0
Limbi Luna
Limli Luna
Com^.
Olfervata.
Compit.
M. D. H. / //
s, 0. r
S. 0. t
o« / //
0. 1/ //
/ //
Julii. ij i8 21 53
10 531
9 7 26
37 50 30
37 47 47
—2 43
14 19 11 ~21
10 7 24
9 20 50
51 31 0
51 27 2
-3 58
\6 20 58 41
10 9 10
10 1(5 42
80 6 30
80 4 43
— I 47
17 21 53 28
10 10 3
10 14 27
10 29 6
94 49 30
94 48 30
— I 0
23 I 59 32
0 27 II
161 26 30
161 28 0
+1 30
:: : 25 3 -2 1 48
10 16 12
I 19 31
184 2 0
184 2 54
-fo 54
26 4 I 36
10 17 4
2 04^
195 0 0
IP5 I 32
+ 1 32
'Julii. 30 .6 55 30
10 20 35
3 17 49
242 47 0
242 4P 15
-f2 15
^//j;. I 8 45 40
10 22 22
4 13 24
272 7 0
272 6 15
—0 45
3 10 46 53
10 24 8
5 10 36
304 28 40
304 26 7
—2 33
5 12 47 42
10 25 55
691
336 44 15
336 41 54
—2 21
6 13 42 48
10 25 49
6 23 26
351 32 0
351 29 55
—2 5
7 14 35 27
10 27 42
7 7 51
5 43 0
5 41 17
— I 43
8 15 26 37
10 28 35
7 22 8
19 31 45
19 29 47
-I 58
: : 9 16 17 14
10 29 28
8 6 13
33 12 0
33 II 44
— 0 16
II 18 I 9
II I 15
9 3 26
6\ 13 40
61 10 14
-3 26
14 20 43 44
II 3 55
II 12 47
10 II 27
104 56 30
104 55 37
— 0 53
25 4 3 38
2 4 24
225 4 30
225 8 42
H-4 12
^6 4 49 28
II 13 41
2 i5 II
237 33 0
237 36 56
+ 3 56
^7 5 38 56
II 14 34
2 28 20
250 56 0
250 ■i9 28
-4-3 28
28 6 32 20
II 15 28
3 10 53
265 18 30
265 21 40
-1-3 10
29 7 29 17
II 16 22
3 23 53
280 34 10
280 34 44
-t-o 34
30 8 28 32
II 17 \6
4 7 19
296 24 30
296 23 12
— I 18
: Aug. 31 9 28 24
II 18 IC
4 21 9
312 23 30
312 20 0
—3 30
Seft. I 10 27 6
11 19 4
5 5 iP
328 6 0
328 I 32
-4 28
Cf;^/-. 2 II 24 58
II 19 58
5 19 45
343 35 30
343 30 54
—4 36
C^;^/-. 3 12 19 32
II 20 52
6 4 17
358 15 15
358 II 7
-4 8
4 13 13 46
II 21 46
6 18 51
12 50 20
12 47 8
—3 12
6 14 59 14
II 23 34
7 17 30
41 15 0
41 12 36
—2 24
7 15 53 T3
II 24 28
8 I 24
55 46 0
55 42 55
—3 5
8 16 48 19
II 25 22
8 14 56
70 34 0
70 30 26
—3 34
10 18 39 26
II 27 II
9 10 45
100 23 30
100 20 15
—3 15
11 19 33 14
II 28 5
9 23 '2
114 52 0
114 49 37
—2 23
J 12 20 24 29 II 28 59
10 4 56
128 42 0
128 40 59
— I I
LUN^ MB(i^l'DIAKJ£ ASCEKSIOKES %ECr^
GRENOVJCI OBSERFATjE
CUM COMTUTO NOSTRO COLLATAL.
AnnoJuLiANO MD CCXXIII. Currents.
Tranfttus Limit
Argument.
'Difiantia
Afcenf.Rea. Afeenf.ReH.
Error
Luna T. aq.
Annuum.
€ ^©
Limhi Luna
L/w^/ La«^
Comp
S. 0. /
Ohjervata.
0. ' //
Comput.
Q. ' //
U. D. H. / /f
S. 0. /
f "
Sept. 13 21 12 42
II 29 53
10 \6 30
141 46 15
141 46 54
-ho 39
: : 14 21 57 55
0 0 47
10 27 49
154 5 30
154 7 51
-1-2 21
: : 20 I >9 47
0 5 16
0 22 46
209 37 30
209 40 53
-}-3 23
23 3 34 II
0 7 58
I 27 5
246 16 30
246 21 20
-1-4 50
24 4 25 20
0 8 53
299
260 5 0
260 9 39
-1-4 39
25 j 19 41
0 9 47
2 21 38
274 41 30
274 45 38
+4 8
26 6 16 21
0 10 42
3 432
289 53 0
289 55 0
4-3 0
27 7 14 *3
0 11 37
3 17 52
305 20 0
305 20 19
4-0 19
: : 28 8 11 17
0 12 32
4 I 35
320 40 0
320 38 16
— I 44
29 9 7 13
0 13 26
4 15 39
335 40 20
335 36 7
—4 13
Seft. 30 10 I 30
0 14 21
4 29 58
350 16 0
350 II 34
— 4 26
OBo. 1 10 54 38
0 15 \6
5 14 25
4 34 30
4 29 31
—4 59
Cent. 2 1 1 48 40
0 16 II
5 28 56
19 615
19 I 32
—4 43
Cent.::^ 12 42 13
0 17 6
6 13 21
::33 gi 0
33 25 42
—5 18
4 13 38 12
0 18 0
6 27 36
48 32 0
48 28 15
—3 45
:: 5 14 34 5o
0 18 56
7 II 32
d3 43 0
61 38 52
-4 8
6 15 32 21
0 19 51
7 25 7
79 9 40
79 5 37
—4 3
:: 7 16 30 10
0 20 46
8 8 18
94 3^ 0
94 32 18
—3 42
;: 8 17 25 20
0 21 41
8 21 3
109 40 0
109 36 26
--3 34
9 18 19 45
0 22 36
9 3 23
124 2 30
123 58 50
—3 40
10 19 9 40
0 23 30
9 15 21
137 32 30
137 29 34
—2 56
12 20 39 36
0 25 20
10 8 21
162 03 50
Id2 3 10
— 0 20
13 21 20 55
0 26 15
10 19 31
173 24 0
173 25 0
H-i 0
14 22 0 58
0 27 9
II 0 34
184 25 30
184 25 57
H-i 27
+ 3 20
0^0' 21 2 21 52
I 2 38
I 8 8
255 44 40
255 48 0
22 3 15 10
I 3 34
I 20 14
270 5 30
270 9 29
+4 0
24 5 7 0
I 5 25
2 15 33
300 5 50
300 911
-1-3 21
25 6 2 51
I 6 20
2 28 46
315 5 0
315 6 21
+ 1 21
'.\l6 6 57 3
I 7 l6
3 12 19
329 39 30
329 40 21
H-o 51
::27 7 49 56
I 8 II
3 26 12
343 54 0
343 51 36
— 2 24
::28 8 41 2
196
4 10 17
357 46 0
357 43 30
—2 30
29 9 32 27
I 10 2
4 24 31
II 34 50
II 30 43
—3 47
30 10 24 19
I 10 57
5 8 47
25 33 30
25 29 26
—4 4
Cf»^. 31 II 19 2
I II 53
, 5 23 0
40 15 30
40 II 56
—3 34
C d
LUN^ ME^IVIAK^ ASCENSIONES (^ECTM
GRENOVICI 0'BSERFJTjE
CUM COMTUTO NOSTRO COLLATjE.
Anno JuLiANO MD CCXXIII. Currente.
Tranfitus Limlz
Argtime7it.
1>iftantia
Afcenf.KeB.
Afcenf.ReB.
Error
Lu7ia T. aq^.
Annnum.
€^@
Limbi Luna
Limbt Luna
Comf.
Ohfervata.
Comput.
M, D. H. ' //
s. 0. r
I 12 48
5. 0. /
6 7 3
0. / /'
0. / 1/
" n
Cent, I 12 15 0
55 16 15
55 12 43
—3 32
CenU 2 13 13 II
I 13 44
6 20 51
70 50 50
70 47 40
—3 10
Nov. 3 14 13 56
I 14 40
7 4 20
87 3 10
86 59 26
—3 44
4 15 12 51
I 15 36
7 17 27
102 49 0
102 45 58
—3 2
6 17 2 17
I 17 27
8 12 32
132 13 15
132 9 30
—3 45
1 T-1 ^-^ 3
I 18 23
8 24 32
145 25 0
145 23 14
— 2 46
8 18 3d II
I 19 18
9 6 14
157 44 0
157 42 I
— I 59
9 19 18 27
I 20 14
9 17 42
169 19 0
1^9 18 5
— 0 55
13 21 59 43
I 23 55
II 2 34
I 13 52
213 41 0
295 34 20
213 41 42
2P5 35 15
H-o 4?
20 3 2 50
I 29 29
-fo 55
24 6 ?5 31
2 3 13
3 7 12
352 50 30
352 48 40
-I 50
25 7 24 46
249
3 21 7
06 10 30
699
— I 21
26 8 14 8
2 5 5
4 5 6
19 32 0
19 30 19
— I 41
:: 28 9 58 3
2 6 57
5 2 56
47 33 20
47 31 0
— '2 20
Cf^/f. 29 10 55 15
2 7 53
5 id 40
62 53 0
62 51 56
— 1 4
Cf»^ 30 II 53 53
2 8 49
5 0 10
78 34 0
78 33 29
— 0 31
Cent. I 12 53 45
2 9 46
6 13 22
94 33 35
94 32 13
— I 22
Dec. 2 13 53 50
2 10 42
6 26 15
iio 36 15
iio 34 50
— I 25
3 H 49 43
2 II 38
7 8 47
125 35 0
125 34 30
— I 30
5 16 29 15
2 13 30
8 2 55
152 31 15
152 29 43
-^I 32
6 17 13 22
2 14 26
8 14 36
154 34 0
164 32 33
— I 27
7 17 54 54
2 15 22
8 26 d
175 58 0
175 56 16
—I 44
8 18 34 55
2 16 17
9 7 30
l8d 59 0
186 57 25
— I 35
9 iP 14 32
2 17 13
9 18 49
197 54 0
197 55 0
— I. 0
11 20 37 7
2 19 4
3 0 17
10 II 34
3 16 16
220 34 30
28 28 30
220 33 13
— I 17
: : 24 6 59 42
28 27 26
— I 4
:: :: 26 8 43 34
3 2 10
4 13 36
56 29 0
56 26 25
—2 35
: : 27 9 39 30
3 3 6
4 26 53
71 29 30
71 28 27
— I 3
DiT. 28 10 57 43
3 4 2
5 10 7
87 3 40
87 3 3
— 0 37
Cf^f. ,30 12 34 46
3 5 55
6 5 30
118 23 20
ij8 23 19
— 0 I
Anno JuLiANO MDCCXXIV. Currente.
"Jan. 6 17 49 4o{ 3 12 25) 8 26 58I 204 13 20! 204 12 36|— o 44
LUnjB ME^ITiIAN^ JSCENSIONES %ECTj£
GRENOVICI O'BSERFJTJL
CUM COMPUTO MOSTRO COLLJTyE.
Anno JuLiANoMD CCXXIV. Currente.
Tranjitits Limhi
Argument.
Difiantia
Afcenf.ReH.
Jfcenf.Rea.
Error
Uma T. aq.
Annuum.
€ ^a
Limhi Luna
Limit Luna.
Comf.
J. 0. '
Ohfervata.
Comput.
M, D. H. / //
S. 0. /
0. / //
0. 1/ //
i ii
Jan. 17 2 27 "6
3 21 44
I 2 4
343 47 40
343 46 26
—I 14.
21 5 47 26
3 25 27
2 27 42
37 57 20
37 5 5 40
— I 40
22 6 39 25
3 26 23
3 II 24
51 58 30
51 55 45
—2 45
24 8 29 54
3 28 15
4 8 r
81 38 20
81 37 49
— 0 31
25 9 27 24
3 29 II
4 20 53
97 2 20
97 I I
—I 19
26 10 24 8
407
5 3 25
112 15 0
112 14 33
— 0 27
Ce7tt. 27 II 19 44
4 I 3
5 15 38
127 10 30
127 11 7
-f-o 37
Cent. 28 12 10 50
4 I 58
5 27 32
140 58 20
140 58 28
-f-o 8
30 13 43 40
4 3 50
6 20 36
166 12 0
166 II 26
— 0 34
Jan. 31 14 25 22
4 4 45
7 I 51
177 39 0
177 38 18
—0 42
m.. 2 15 45 24
4 6 35
7 24 16
199 41 5
199 39 15
—I 15
3 16 25 43
4 7 30
8 5 30
210 46 45
210 45 37
—I 8
4 17 7 34
4 8 25
8 Id 52
222 15 0
222 14 14
— ^0- 46
7 19 31 11
4 II II
4 17 39
9 22 20
0 26 30
2(5i 13 0
261 II 27
—I 35
15 I 58 56
05 19 0
5 19 9
-+o 9
1 5 2-50 9
4 18 35
I 10 45
19 8 30
19 8 51
-fO 21
18 4 34 3 5
4 20 25
290
47 17 30
47 16 8
1 2 2
19 5 29 13
4 21 20
2 22 47
61 58 30
61 56 18 —2 12
ao 625 37
4 22 15
3 6 16
77 5 45
77 2 40 —3 5
: : 21 7 2x 48
4 23 II
3 19 24
92 25 0
92 22 32; — 2 28
22 8 19 30
4 24 6
4 2 9
107 37 0
107 34 15
—2 45
23 9 14 4
425 1
, 4 14 31
\2% 17 0
122 15 29
1 31
24 10 5 31
4 25 5S
4 26 31
136 10 0
136 9 0
149 10 22
161 23 14
— I 0
25 10 53 29
4 2(5 5.1
5 8 12
'149 10 30
— 0 8
26 II 38 18
4 27 46
5 19 37
161 23 40
— 0 26
Fei. 28 13 39
4 29 35
6 II 55
184 38 10
184 36 47
— I 23
Mart. 3 15 47 8
5 3 12
7 26 18
229 41 20
229 38 5
—3 15
■ 6 iS 14 34
5 5 56
9 I 3<5
269 3d 20
269 32 38
—3 42
8 20 6 21
5 7 46
9 16 57
299 36 0
299 3^ 58
—4 22
9 21 3 6
5 8 41
5 15 2
10 10 15
I 19 50
314 49 0
55 55 20
314 44 36
+2 46
: : 17 3 18 55
18 4 16 56
5 5 58 6
5 15 57
2 3 49
71 27 0
71 28 21
+1 21
: : 20 6 14 17
5 17 4^
3 0 39
102 50 50
102 49 12
—1 18
21 7 10 20
5 18 40
3 13 2(5
1 117 52 30
117 51 13
—1 17
LUK^ ME^IVIANjE jsceksiones ^ect^
QRENOVICl OBSERFATM
CUM CO MPUTO NOSTRO C 0 L L J T JE.
Anno JuLiANO MDCC XXIV. Currente.
Tranjitus Limhi
ArgU7nent.
T>ifta7itia
Afcenf.ReB.
Afcenf.Rea.
Eytoy
Lwta jfo ay.
Annuunu
€ ^cl
Linibi huna
Ohfervata.
Limit Luna
Comfut.
Comp.
M. D. H. ' N
S. 0. /
^. 0, /
0. / //
Or f n
f /f
Mart..%z 8 2 58
5 IP 35
3 25 46
132 3 30
132 I 47
— I 43
23 8 51 50
5 20 29
4 7 44
145 17 30
145 17 5
— 0 25
24 9 37 10
5 21 23
4 19 21
157 38 30
157 38 43
+ 0 13
Ce7it. 27 .11 41 i
5 24 4
5 22 Jo
191 39 45
191 39 21
— 0 24
29 13 2 ^7
S 25 51
d 14 43
214 2 0
213 58 32
—3 28
30 13 44 50
5 26 45
6 25 44
225 38 30
225 34 0
—4 30
M^r^.31 14 29 42
5 27 38
7 ^ 55
237 52 30
237 47 5
—5 25
.^/rz. I 15 17 30
5 28 32
7 18 19
250 50 30
250 44 46
—5 44
5 18 51 36
6 2 7
9 11-7
308 27 30
308 21 12
—6 18
4-2 5
14 2 0 45
d 9 18
I 0 23
63 55 20
63 57 25
15 3 I 38
6 10 12
1 14 29
80 10 20
80 13 0
-f 2 40
:: 18 5 57 26
6 12 53
2 24 23
127 12 0
127 13 46
4-1 45
20 7 35 28
6 14 40
3 18 50
153 44 50
153 45 18
4-1 28
21 S 18 59
6 15 33
4 0 31
165 38 30
165 39 55
+ 1 25
: : 22 9 0 3
5 16 26
4 " 55
176 55 20
176 57 13
+1 53
24 10 19 1(5
6 18 12
5 4 9
198 45 0
198 45 45
4-0 45
25 10 59 25
^ 19 5
5 15 9
209 48 0
209 47 25
0 35
Cf»f. 27 12 2(5 20
d 20 51
6 7 14
233 33 30
233 29 58
—3 32
Cf»/". 28 13 13 22
(5 21 44
6 18 28
246 20 15
246 15 14
—5 I
29 14 4 34
5 22 37
6 29 5 5
260 9 30
2do 3 49
-5 41
Apnl-^o 14 57 15
6 23 30
7 II 38
274 21 0
274 14 40
— 6 20
M^//. 2 16 45 53
6 25 17
8 5 5
303 ^l 20
303 26 36
— 6 44
4 18 31 19
6 27 3
922
331 57 30
331 50 17
—7 13
: : 6 20 1 1 27
d 28 49
9 29 27
359 I 4°
558 54 II
—7 29
7 21 I 15
6 29 42
10 13 36
12 30 0
12 23 2
—6 58
II 5 n 22
7 2 33
000
ir I 37 3
I I 36 21
— 0 42
14 2 45 33
7 5 1
I 8 50
104 58 30
105 I 2
+2 32
i> 3 45 42
7 5 54
I 22 9
120 47 20
120 51 2
-1-3 42
1(5 4 40 19
7 d 47
2 5 1
135 28 15
135 31 35
4-3 20
17 5 30 10
7 7 40
2 17 29
148 57 0
148 59 39
+2 39
19 6 58' d
7 9 26
3 II 20
172 57 50
173 0 20
42 30
21 8 iS 0
7 II 10
4 4 10
194 57 45
194 59 45
+2 0
22 8 57 45
7 12 3
4 15 22
205 54 50
205 55 57
-1-2 7
23 9 3S 50
7 12 55
4 25 32
217 12 0
217 13 7
+ 1 7
LUN/B MEf^IDIJN^ JSCENSIONES (^ECTJB
GRENOVICIOBSERVATM
CUM COMTUTO NOSTRO COLLJTyE.
Anno J u L I A N o MD CCXXIV. Currents
Tranfitus Limhi]
Argument.
Tiiftantia
Afcenf.Rea.
Afcenf.Rea.
'Error
Luna T. a^.
Annuum.
€^i)
Limit Lu?ia.
Limbi Luna
Comp.
Ohfervata.
Comfut.
14. D. H. / //
S. 0. /
S. 0. 1
0. / // .
Q. ' //
f '1
Maii.ts ir 9 29
7 14 40
5 18 59
241 53 40
241 51 47
—I 53
Cent. z6 II 58 58
7 15 33
<5 0 24
255 17 0
255 13 52
-3 8
27 12 51 22
7 16 26
6 12 2
259 24 30
269 20 18
—4 12
a8 13 4<5 5^
7 17 19
(5 23 56
284 20 0
284 14 51
—5 9
29 14 4Ji 55
7 18 12
7 6_7
299 5 2.0
298 59 40
—5 40
Maiu 30 I J 35 54
7 19 4
7 18 37
313 36 30
313 3045
~5 45
'^unii. I 17 18 10
7 20 50
8 14 38
341 P3 0
341 7 31
—5 29
2 18 6 47
7 21 42
8 28 6
354 23 30
354 i^ 41
—6 49
4 19 43 42
7 23 28
9 25 52
20 39 30
20 32 10
—7 20
6 21 28 38
7 25 13
10 24 14
48 56 00
48 49 58
~6 2
7 22 26 29
7 26 6
II 8 24
^4 25 15
64 21 0
—4 15
13 3 20 15
8 0 31
I 15 33
142 59 30
143 2 25
-1-2 55
16 5 34 53
838
2 21 47
179 42 0
179 43 37
-^i 37
17 6 15 0
840
3 3 22
190 44 15
190 46 II
+ 1 5<5
19 7 35 14
8 5 45
3 26 10
212 49 30
212 51 35
+ 2 5
20 8 17 32
8 6 37
4 7 31
224 25 0
224 27 9
+2 9
21 9 2 38
8 7 29
4 18 55
236 42 20
236 43 10
-t-o 50
23 10 42 42
8 9 14
5 12 7
263 45 45
263 44 29
— I \6
Cent. 24 II 38 17
8 10 7
5 24 3
278 41 0
278 38 53
—2 7
Cent. 25 12 34 0
8 II 0
6 6 13
293 38 0
293 34 54
—3 6
: : 26 13 30 34
8 II 53
6 18 40
308 48 0
308 44 34
—3 26
27 14 24 12
8 12 46
7 I 24
323 13 50
323 9 18
—4 32
29 16 4 40
8 14 31
7 27 45
350 23 30
350 19 32
-3 58
"Jun.v.io 16 52 40
8 15 23
8 II 19
3 24 30
3 21 36
—2 54
Julii. 2 18 29 33
8 17 9
9 8 59
29 40 0
29 34 2
—5 58
3 19 21 0
8 18 I
9 22 58
43 33 0
43 26 55
-6 5
4 20 15 48
8 18 54
10 6 57
58 i6 30
58 10 8
—6 22
: : 13 3 29 15
8 25 57
I 20 22
174 49 0
174 49 16
+ 0 16,
14 4 10 20
8 25 49
2 2 3
186 6 0
186 7 8
4-1 8
16 5 30 42
8 28 34
2 25 2
208 13 20
208 14 41
-f-i 21
23 II 17 56
9 4 44
5 17 55
302 10 0
302 7 22
—2 38
Cent. 24 12 14 28
9 5 57
6 0 42
317 19 30
317 15 55
—3 35
26 14 0 I
9 7 23
6 27 6
345 45 20
345 42 30 —2 50
27 14 49 21 9 « i6| 7 10 4o|
359 6 30
359 4 ^6— 2 14
LUN^ UE^I^IDIAKM ASCENSIONES <!iECT^
GRENOFICI 0'BSERVATM
CUM COMTUTO NOSTRO COLLATjE.
Anno Ju L I A N o M DCCXXIV. Cu
•rente.
Tranfttus Limli
Argument.
"Difiantia
Afcenf.ReB.
Afcenf.ReB.
Error
Luna T, a^-
Annuum.
^am
Limhi Luna
Ohjervata.
Limbi Lnna
Comput.
•Q. ' n
Comf.
M. D, H. f H
S. 0. /
S. 0. /
0. / //
" 11
Julii. 28 15 38 0
9 9 9
7 24 27
12 17 0
12 14 39
— % 21
Jug. 2 20 6 12
9 13 35
10 3 45
84 27 0
84 23 26
—3 34
3 21 6 10
9 14 28
9 20 40
10 17 10
loo 28 0
100 25 48
— 2 12
II 2 45 58
I 12 26
192 33 0
192 33 34
+0 34
17 7 14 24
9 25 58
3 21 26
265 45 30
265 45 48
-ho 18
18 8 8 30
9 26 52
4 3 33
280 18 15
280 17 20
0 55
19 9 41°
9 27 46
4 15 58
295 14 30
295 12 7
—2 23
20 9 59 52
9 28 39
4 28 43
310 II 30
310 8 12
-3 18
21 10 J4 26
9 29 33
5 II 47
324 51 30
324 47 27
!— 4 3
Cf;?^. 22 II 48 25
10 0 26
5 25 10
339 22 30
339 18 II
—4 19
24 13 30 50
10 2 14
6 22 44
7 I 20
6 58 17
—3 3
26 15 12 27
10 4 1
7 20 57
34 28 0
34 27 26
—0 34
27 16 6 6
10 4 55
8 5 5
48 54 J5
48 52 24
— I 51
29 18 I 0
10 6 42
9 2 58
19 40 30
79 38 28
—2 2
Jag. 30 19 ° 4^
10 7 36
9 16 32
95 37 30
95 36 55
— 0 35
6Vp^ I 20 55 36
10 9 24
10 12 56
126 24 0
126 24 40
-l-o 40
2 21 47 56
10 10 18
10 \6 34
lo 25 4
140 30 30
140 32 41
+2 II
10 2 45 22
I 15 20
221 58 0
221 59 50
-f-i 50
15 6 51 i8
10 21 4
3 13 22
288 33 0
288 33 20
-j-o 20
17 8 40 0
10 22 53
4 8 41
317 46 30
317 42 49
—3 41
18 9 32 55
10 23 47
4 21 53
332 I 20
331 56 30
—4 50
Cf»f. 20 II 16 30
10 25 36
5 19 22
359 57 40
359 52 47
—4 53
22 13 0 49
10 27 25
6 17 53
28 5 0
28 I 52
-3 8
23 13 55 18
10 28 20
7 2 18
42 43 30
42 41 22
—2 8
24 14 52 38
10 29 14
7 16 41
58 5 0
58 3 31
—I 29
2d 16 53 49
11 I 4
8 14 51
90 26 0
90 24 31
—I 29
27 17 54 17
II I 59
8 28 27
106 34 40
106 32 55
—I 45
Sep. 2% 18 51 53
Otfo. 1 21 20 2
11 2 54
9 II 38
122 0 10
121 58 32
-I 38
II 5 38
II 11 4
Id 18 40
162 6 0
162 7 4§
41 48
+ 1 5o'
8 I 26 c
0 25 44
229 40 0
229 41 50
13 5 36 6
II 15 19
2 23 8
297 17 45
297 19 6
+1 21
14 6 28 5c
II 16 34
3 5 31
311 30 0
311 30 51
-fo 51
35 7 20 3^
II 17 29
3 18 18
325 28 0
325 26 0
— 2 0
17 9 04$
II 19 19
4 J5 4
352 33 30
352 29 22
—4 8
LUNjE ME^IDIAKjE ASCnnSIONES %ECT£
GRENOFICl O'BSERFATM
CUM COMPUTO NOSTRO COLLATE.
Anno Julian 0 MDCCXXIV. Currente.
Tranfitus Umli
Argument.
Difiantia
Jfcenf.ReH.
Afcenf.Rea^
EyyOV :
Lma T. aq.
Annuum.
€^a
Limhi Luna
Limhi Luna
^.fiomf.
Ohfervata.
Comput.
M. D. H. / //
S. 0. /
n 20 14
5. 0. <
0. i //
0. / //
i H
0^0^' 1 8 950 40
4 29 i
6 2 30
5 57 29
—5 r
\9 10 41 46
II 21- 9
5 13 15
19 50 20
. 19 45 ri
—5 9
21 12 34 51
II 23 0
6 12 20
50 9 45
50 6 17
-3 28
22 13 3>s 35
II 23 55
6 25 53
66 22- 0
66 20 28
—I 32
26 17 40 17
n 27 38
8 22 18
131 39 0
131 37 38
—I 22
27 18 31 52
II 28 34
9 5 5
145 34 0
145 32 6
—I 54
30 20 43 20
0 I 19
10 10 5^
181= 29 o-
: I 8-1 28 50
— 0 10
0^(?. 31 21 23 1-2
0 2 14
10 22 14
192 27 45
192 27 37
—0 8
A^i)?;» I 22 3 0
039
II 3 22
203 25 30
203 26 11
H-o 4a
8 2 38 23
0 8 42
I 9 42
278 22 30
278 22 42
-+•0 12
12 6 3 18
0 12 24
2 28 10
333 4^ 0
333 41 22
-Ko 22
15 : 8' 27 22
0 15 12
4 8 31
12 45 30
12 43 z6
—-2 4
16 9 18 0
0 16 7
4 22 40
26 26 15
. 26 23. I
—3 14
17 10 12 6
0 17 3
5 7 4
40 59 0
40 55 51
—3 9
21 14 26 16
0 20 48
7 4 39
108 38 30
108 38 24
— 0 6
22 15 27 27
0 21 45
7 18 22
124 57 50
124 57 5
—0 4j
24 17 13 37
0 23 36
8 14 30
153 32 30
153 29 55
—2 35
25 17 59 IS»
0 24 32
8 26 53
165 59 30
165 56 27
—3 3
27 19 22 x6
0 26 24
9 20 35
188 45 30
188 42 24
—3 6
Nov. 28 20 2 3
0 27 \9
1020
199 43 0
199 40 37
—2 23
Dff. 10 4 47 56
r 7 34
2 8 37
342 23 30
342 24 0
-fo 30
11 5 34 i^
I 8 30
2 21 36
354 59 20
355 0 19
-fo 59
1^ 9 51 42
I 13 10
5 I 4
64 27 15
64 26 45
— 0 30
Cf»?. 18 J2 I 47
I 15 3
5 29 34
99 2 0
99 3 I
+ 1 I
19 13 7 13
I 16 0
^ 13 31
\\6 25 15
116 27 5
4-1 50
20 14 711
I r6 56
(5 27 6
132 z6 15
132 27 25
-}-i 10
21 15 I 43
I 17 52
7 10 17
147 5 30
147 4 54
— 0 36
22 15 50 55
I 18 49
7 23 4
160 25 0
160 24^ 10
— 0 50
23 16 36 0
I 19 44
8 5 28
172 42 20
172 39 43.
—2 37
: : 24 17 18 16
I 20 40
8 17 31
184 17 20
184 13 22
—3 58
26 j8 39 17
I 22 31
9 10 49
206 34 0
206 29 47—4 13!
27 i5> 20 35
I 23 27
9 22 II
217 5-4 15
217 50 3
—4 12
LUN^ ME^l'DlAN^ JSCEKSIONES (^ECTJB
GRENOVICl OBSERFATM
CUM COMPUTO NOSTRO COLLATE,
Anno Julia NO MDCCXXV. Currents.
Tranfttus Limit
Luna T. aq.
Argument,
Annuum.
H.
'^an.
6
lo
II
12
14
15
2 45 5^
5 53 15
6 44 20
7 39 30
8 40 17
9 41 47
, 10 45 24
16 II 46 54
18 13 38 39
19 14 26 1$»
: : 20 15 10 40
23 17 15 16
24 17 57 58
: : 27 20 20 20
"Ian. 28 21 12 52
I 51
5 34
6 30
7 26
8 22
9 18
10 15
11 II
13 3
13 59
14 54
17 40
18 36
21 22
22 18
Feh. 5 3 2 47
:: 6 3 50 48
7 4 41 7
9 6 31 55
11 8 34 10
13 10 32 27
Cent. 14 II 26 54
Cf ///•. 1 6 1 3 12
17 13 45 37
18 14 27 26
19 15 9 6
22 17 22 p
23 18 II 3
K*^. 24 19 2 14
Mart.\o 5 28 19
11 7 ^9 5
12 8 26 48
;: 1,3 9 20 18
14 10 9 41
Tiiftantia
am
6 49
29 34
13 24
27 24
II 28
25
9
5 22 53
6 19 5
7 I 40
7 13 54
8 19 10
9 o 37
10 4 53
10 16 2
28 46
29 42
o 37
2 28
4 19
6 II
7 6
8 56
9 5^
3 10 46
3 II 40
3 14 25'
3 15 20
3 16 15
1 13 53
1 27 26
2 II
Afcenf.ReB.
Limhi Luna
Olfervata.
338 25
29 19
43 6
57 55
74 9
90 33
107 29
123 53
153 52 20
166 48 30
178 54 45
213 6 20
224 47 30
263 26 30
277 35 45
3 28 7
3 29 2
3 29 57
4 o 51
4 I 46
10
8 59
6 37
3 22
15 16
16 22
20 37
2 5
13 40
3 4 5^^
3 iS 35
4 I 54
4 14 52
Afcenf.ReB.
Limhi Luna
Comput.
12 12 50
25 14 O
38 50 O
68 35 o
loi 12 o
132 49 25
147 27 30
173 8 o
185 II 20
196 39 30
208 5 15
244 23 40
257 38 30
271 27 30
338 23
29 19
43 6
57 5?
74 8
90 33
107 30
123 54
153 53
1 65 48
178 5x
213 X
2.M 43
263 x3
277 31
96 15 50
112 29 57
127 56 o
142 20
Error
Comjy.
—I 16
+0 24
+0 3
O 12
— o 40
4-0 17
-f-I I
-f I 30
4-1
-f O lO
2 10
—3 37
—4 27
3 —3 27
z6 — 4 19
IZ IX
25 15
38 50
68 34
loi 10
I3X 50
147 28
173 7
185 10
196 37
2o8 2
244 18
257 33
271 23
4 27 27! 155 42
O
96 i5 15
112 28 33
127 56 25
142 20 41
155 42
— o 17
+ 1 o
-+-0 S3
— o 46
1 12
H-o 45
+ 1 8
— o
— o
— I
2
—4
—4
H-o 25
—o 27
H-o 25
+0 41
-t-o II
LUn^ ME(IlIXfIJN^ JSCENSIONES %^ECT^
GRENOFIC I OBS ERFJTyE
GUM COMTUTO NOSTRO COLLJTA-.
Anno JuLiANo MD CCXXV. Currente.
Traujitus LimU
Argument.
'Dijiantia
Afcenf.Rea.
Afcenf.Rea.
Error
Luna T. ac[.
Annuum.
€a§)
Linibi Lunoi
Limhi Lun^
Conif.
S. 0. /
4 2 40
S. 0. 1
5 9 43
Olfervata.
Comput.
0. / //
M. D. H. / ir
0. / II
r II
Mart.i$ lo 55 2p
idS 10 0
id8 10 5
+ 0 5
Cent. i6 11 39 48
4 3 34
5 21 40
180 15 40
180 15 2d
—0 14
Cent. 17 12 21 38
4 4 28
d 3 21
191 44 0
191 42 46
—I 14
20 14 29 50
4 7 10
Z 7 25
226 49 40
22d 45 42
—3 58
23 i5 53 30
4 9 52
8 II 21
2d5 48 0
255 43 8
—4 52
24 17 45 13
4 10 4d
8 22 55
279 45 0
279 40 12
—4 48
Mayf.30 22 45 38
4 Id 10
4 20 40
II 8 9
I 18 48
0 58 30
0 57 8
— I 22
J^n. 5 3 17 57
73 47 45
73 52 15
4-4 30
7 5 22 45
4 22 29
2 17 4
107 25 30
107 28 39
+ 3 9
9 7 17 31
4 24 Id
3 14 0
138 10 0
138 10 46
-1-0 4d
10 8 7 46
4 25 10
3 2d 51
151 45 0
151 45 44
-1-0 44
II 8 54 2
4 2d 4
4 9 18
Id4 20 0
ld4 20 10
-4-0 10
12 9 57 21
4 2d 57
4 21 23
I7d 10 30
I7d 10 27
— 0 3
14 10 59 51
4 28 43
5 14 38
198 49 45
198 48 52
—0 53
Ce^t. 16 12 25 5-
5 0 30
d 7 5
222 10 0
222 d 8
—3 52
Ce^/?. 17 13 9 51
5 I 23
5 Id 30
d 18 10
I 28 49
234 22 30
234 Id 5d
—5 34
Maii. 5 4 12 41
117 27 30
117 32 12
4-4 42
8 d 52 30
5 iP P
3 8 48
Ido 28 40
ido 30 15
-f-i 35
: '. 9 7 36 50
5 20 2
3 21 14
172 34 30
272 35 31
+ 1 I
10 8 18 45
5 20 55
4 3 17
184 4 20
184 4 44
-f 0 24
12 9 40 24
5 22 40
4 2d 2d
2od 30 45
2od 30 30
— 0 15
13 10 22 19
5 23 32
5 7 19
218 0 20
•217 59 28
— 0 52
Ce;??. 15 II 53 28
_5 25 18
5 29 46
242 49 30
242 4d 0
—5 30
Cent. i5 12 42 7
5 2d II
d 10 48
25d 0 30
255 5^ 29
—4 I
M^zV. 20 16 (5 53
5 29 42
d 10 Id
7 2d 5
I 10 d
311 17 0
311 11 35
—5 25
Ja;?zV. 2 2 57 3d
I2d 14 0
I2d 17 54
+3 54
: : 4 4 46 38
d 12 1
2 7 21
155 32 20
155 35 2d
H-3 6
5 5 33 29
6 12 54
2 20 Id
l58 Id 0
id8 18 13
-1-2 13
9 8 21 7
d Id 24
489
214 14 0
214 13 -y^
— 0 5
11 9 4P 33
^ 18 9
5 0 35
238 22 30
238 21 43
— 0 47
12 10 37 27
d 21 39
5 II 40
251 22 0
251 21 22
— 0 38
Sect,:: id 14 i 47
6 22 32
d 2d 32
3od 32 0
3od 27 39
—4 2 1
17 14 J2 4d
6 23 25
7 8 10
320 18 0
320 12 45
—5 15
20 17 8 54 d 2d 2|
8 14 54
357 23 0
357 18 28
—4 32
€ f
LllK^ UE^IVIAKM JSCENSIONES (^ECT^
GRENOVICJ CBSE RFJT^
CUM COMTUTO J^OSTRO COLLJTjE.
Anno JuLiANO MD CCXXV. Currente.
Tranfitiis Lhnhi Artrmient..
T^iftaraia
Afcenf.ReB.
Afcenf,ReR.
£^^0^ ^
Lu7tDi T. ari'
AnnuMn.
^a%
Limhi Luux
Limli Luna
C^»?/'. :
Ohjervata.
Comfut.
' "
M. D. H. / //
S. 0. /
7 3 57
S, 0. /
0 21 8
0. / //
9. 1 /1
'jiinn.io I 39 7
134 9 20
134 10 0
-f 0 40
W/. 3 4 II ^
7 ^ 35
2 I 9
175 14 0
175 14 24
+0 24
6 6 i8 i6
7 9 13
3 7 42
210 3 0
210 3 8
+0 8
7718
7 10 5
3 ip 18
221 47 0
221 46 46
— 0 14
8 7 45 49
7 1° 57
4 0 44
233 58 0
233 s8 48
-i-o 48
10 9 22 ^6
7 12 45
4 23 16
2do 9 30
260 10 20
-+o 50
12 II 7 <5
7 14 28
5 15 48
288 22 10
288 20 48
1 22
13 II 58 34
7 15 21
5 27 12
302 15 30
302 13 56
— I 34
\6 14 23 \9
7 »7 59
7 2 33
341 30 0
341 27 0
—3 0
17 15 7 51
7 18 52
7 14 53
353 39 0
353 3^ 27
— i 33
18 15 52 3
7 19 44
7 27 33
05 43 0
05 40 58
— 2 2
19 \6 37 9
7 20 37
8 10 34
18 0 30
17 58 41
— I 49
20 17 24 33
7 21 30
8 23 56
30 52 30
30 50 6
—2 24
23 20 II 55
7 24 9
10 5 50
75 47 20
75 41 56
—5 24
^uUi. 24 21 16 9
7 25 2
10 20 7
92 52 30
92 47 48
—4 42
— 0 22
^//^. 6 7 15 43
8920
8 5 38
3 22 41
255 0 20
254 59 58
8 7 25
4 15 33
283 2 20
283 2 56
4-0 36
9 9 50 22
8 8 18
4 27 2
295 44 0
296 44 13
+ 0 13
13 13 5 14
8 II 51
6 14 46
349 31 30
349 30 0
— I 30
14 13 50 10
8 12 44
6 27 20
01 46 30
01 45 0
—I 30
15 14 34 26
8 13 37
7 10 12
13 51 30
13 49 31
— I 59
16 15 22 21
8 14 30
7 23 23
25 51 20
26 51 27
+0 6
17 16 12 11
8 15 24
8 6 52
40 20 0
40 19 38
— 0 22
18 17 5 58
8 16 17
8 20 37
54 48 0
54 46 10
-I 50
20 19 5 43
8 18 5
9 18 37
86 47 30
86 43 52
-3 38
^^^^. 21 20 8 59
8 18 59
10 2 39
103 38 15
i©3 34 17
-3 58
Cent. I 4 22 S
8 27 55
2 9 32
236 44 20
235 43 40
— 0 40
Ce7it. 2 5 9 II
8 28 48
2 21 2
249 48 1°
249 48 9
— 0 I
-S^f^ 5 7 41 I'
9 I 30
3 25 35
290 57 40
290 59 4°
+2 0
7 9 21 55
9 3 iS
4 19 7
318 II 0
318 10 II
—0 49
8 10 9 5
9 4 12
5 I II
331 II 15
331 9 5<5
— I 19
9 10 56 2«
5 9 5^
5 13 29
343 49 20
343 47 51
—I 29
11 12 30 1
9 6 53
585^
9 19 2C
9 17 51
—I 29
12 13 17 3c
> 9 7 47
6 22 ic
1 22 10 ol 22 9 17
—0 43
LUNM ME^IDIAN^ JSCENSIONES \ECr.E
G RE NO VI CI O'BSERVATjE
CUM COMPUTO NOSTRO COLLJTA^i
■ Rnna J u l i a n o MD CCXXV. Currents.
Tranfitus Limhi
Argtment.
Diflantia
Afcenf.Rea.
Afcenf.ReH.
Error
Lima T. aq.
Anniium.
€^0
Limhi Luna
Limhi Luna
Comf.
Olfervata.
Comput.
M. D. H. / //
S. 0. f
S. 0. '
0, f /1
0. / //
i //
Sept: 13 1-4 7 25
9 8 41
7 S 39
35 40 0
35 39 40
— o- 20
14 I J 0 58
9 9 36
7 T-9 23
50 4 30
50 4 18
— 0 12
15 15 58 32
9 10 30
8 3 19
65 29 45
55 29 51
+0 5
16 \6 J9 39
9 II 25
8 17 20
81 48 0
81 47 37
—0- 23
17 18 2 25
9 12 19
9 I 22
98 31 15
98 2:9 51
—I 24
Sep."\9 20 2 50
9 14 9
9 24 7
9 28 58
130 40 40
130 3-8-27
—2 13
0^0. I 4 40 22
2 II 50
271 15 30
271 15 22
— 0 8
2 5 31 50
9 25 I
2 23 17
285 8 30
285 9 22
-4a 52
3 6 22 44
9 25 56
3 4 52
298 53 20
298 54 28
-41 8
4 7 i<i 47
9 26 51
5 16 35
312 34 0
312 34 49
-40 49
5 8 0 16
9 27 45
3 28 34
325 18 50
325 18 21
— 0 29
7 P 32' 17
9 3p 3J
4 23 19
350 21 a
350 19 37
—V 23
II 12 50 14
10 3 14
6 16 50
43 55 0
43^57 48
+ 2 48
15 \6 58 8
10 6 55
8 13 26
no 0 15
109 59 19
— 0 55
\6 17 58 27
10 7 51
8 27 21
126 6 40
126 4 25
—2-15
19 20 31 23
10 10 36
10 7 0
167 24 30
1^7 22 20
—2 10
■ 30 4.15 8
10 19 48
2 2 28
293 31 0
293 32 46
-t-i 46
.0^^. 31 5 4 37
10 20 43
2 13 55
306 54 30
306 55 17
+ 1 47
iV(^^', I 5 52 15
10 21 39
2 25 34
319 50 0
319 52 17
-+2 17
2 6 28 8
10 22 34
3 7 29
332 19 20
33221 7
H-i 47
3 7 22 45
10 23 29
3 19 43
344 29 3°
344 30 II
^-o 41
4. 8. 7 4
10. 24' 25
4 2 19
356 35 20
356 36 6
-\-o 45
:: 5 8 52 23
10 25 20
4 15 17
8 55 0
8 54 3J
-^I 25
6 p 40 0
10 25 16
4 28 41
21 51 0
21 49 30
—I 30
P 12 31 53
10 29 3
6 10 58
67 54 0
6 J 5 1 49
2 II
lo- 13 37 39
II 0 0
6 25 28
85 22 30
85 21 55
— 0 35
II 14.45 35
II 0 56
7 5^ 59
103 8 20
103 8 20
— 0 0
12 15 48 53
II I 52
7 24 18
120 14 30
120' 12 55
—I 35
16 19. 14 50
II 5 35
9 17 59
175 49 0
175 44 34
—4 2 5
17 19 57' ?6
II 6 31
10 0 22
187 31 20
187 27 19-
— 4 I
Nov. 19 21 21 55
ir 8 22
II 18 35
10 24 5
210 3& 15
210 35 20
—2 55
Dec. z 6 0 ^
2 28 44
35123 0
351 25 44
H-3 44
3 7 28 2
II 20 27
3 24 12
15 23 15
15 25- 4
-M 49
4 8 15 42
II 21 23
4 7 35 28 19 15I
28 20 48
-f-i 53
. LUN^ ME^IIID IJN^ LONGITUDIHES
GRENOVICl OBSERVAT^.
\ :CUM COMPUTO NOSTRO COLLATM,
1 Anno JuLiANO MDCC XXV. Currente.
"Fran/itfh LimU
Argument
Diflantia
Longitudo
Longitudo
Error
Ijina T, ^q-
Annuum.
€ ^©
Centri Luna
Ohfervata.
Centri Luna
Compit.
Qomf.
U. D. H. f n
S. 0. t
S. 0. /
4 21 24
0. t n
9' r ff
/ ff
Dec, 5985
II 22 19
^15 42 2d
g.15 42 34
-j-o 8
.^10 6 14
II 23 15
5 5 36
J I 5 14
IT I 4 26
—0 48
7 II 10 12
II 24 II
5 20 6
IC16 54 4
Hid 53 17
—0 47
CeKt» 8 12 19 25
II 2J 8
6 4 46
© a 58 38
© 2 58 3
— 0 35
9 13 28 47
II 16 5
6 19 26
S19 2 55
S19 2 7
—0 48
10 14 32 56
II 27 I
7 3 54
a 4 49 34
a 4 48 46
— 0 48
II 15 31 12
II 27 58
7 18 3
6120 8 31
a2o 7 9
— I 22
-^o 27
Dec. 51 6 7 41
0 15 39
3 3 42
T24 58 41
T24 59 8
Anno Jul IAN 0 MDCC XXVI. Currente.
Ian. 3 8 47 55
0 18 28
4 14 50
I 8 37 11
IT 8 37 4d
-l-o 34
4 9 52 32
0 19 24
4 29 14
3r24 12 6
IC24 II 52
— 0 14
5 II 0 12
0 20 21
5 13 50
Sio 6 37
Sio d 17
— 0 20
Ce?iU 6 12 8 23
0 21 17
5 28 25
S25 7 46
Szd 7 30
— 0 Id
7 13 12 15
0 21 14
6 12 52
an 58 57
an 59 3
+0 d
8 14 9 8
0 23 10
6 zj 0
a 27 Id 57
a27 2d 58
+ 0 I
9 15 0 42
0 24 6
7 10 47
n^i2 25 5
TIB12 i3 40
—I 25
:: 1 0 1 5 48 8
0 25 2
7 24 8
TT|)i6 48 0
rr|!2d 45 41
—2 19
: : 13 18 0 45
0 Z7 48
9 I 48
Wl 6 54 53
Til d 47 4d
—7 7
.:: 14 18 45 43
0 28 43
9 13 38
TTI19 31 7
K24 10 39
'fTll9 25 0
K24 10 4
-d 7
25 2, 39 35
I 8 I
I 6 52
— 0 35
28 4 51 15
I 10 47
2 14 15
« 4 13 30
^ 4 15 55
-4-2 25
30 6 35 54
I IX 38
3 II 7
]3: 2 35 5
IT 2 37 0
41 55
CenU:i\ 7 40 14
I 13 34
3 25 7
117 23 54
iri7 2d 18
4-2 24
2<V^. I 8 40 12
I 14 30
4 9 18
S 2 34 34
S 2 34 38
+0 4
3 10 49 22
I \6 22
5 7 58
a 3 40 I
a 3 39 10
— 0 51
Cent, 5 12 44 12
I 18 13
6 6 6
ig? 4 28 45
iry 4 29 8
-}-0 2 2
6 13 35 29
I 19 9
6 19 43
Trj)i9 23 58
TfJ^i9 23 39
0 19
9 15 53 14
I 21 54
7 28 24
^ I 17 43
Til I 12 13
—5 30
IX 17 26 0
I 23 45
8 22 33
WI27 4 29
Tl],25 58 22
-d 7
12 18 13 4i
1 24 40
2 4 44
9 4 14
I 12 43
/ 9 33 4
« 0 3 56
/ 9 27 7
—5 57
24 2 49 25
e5 0 4 4
-J-o 8
25 3 38 10 2 5 39I
I 25 42
c5i3 ')9 15 c5 13 59 53'+o 3^1
LUN^ ME^IDIAU^ LONGITUDINES
GRENOFICI OBSERVATM
CUM COMTUTO NOSTRO COLLJTJi.
Anno JuLiANO MD CCXX VI. Currente.
Tranjitus Limhi
Argument.
Dijiantia
Longitudo
Longitudo
Error
Luna T*. aq.
Annuum.
€^i)
CentriLuna
Centri Luna
Com^.
5. 0. /
292
Olfervata.
Comput.
0. ' //
M. D. H. / //
S. 0. /
2 6 34
0. / //
1 "
¥el. 2d 4 31 8
^28 9 49
S28 10 56
-t-i 7
27 5 28 45
2 7 29
2 22 41
l[i2 36 25
3112 37 12
+0 47
Fel. 28 6 30 12
2 8 25
3 6 35
127 18 II
IC27 18 17
4-0 6
Mart. I 7 37 49
2 s> 20
3 20 41
S12 15 8
S12 14 24
—0 44
2 8 35 58
2 10 15
4 4 44
S27 15 44
S27 14 II
— I 33
4 10 30 5
2 12 5
5 2 35
^27 19 29
a27 17 58
— I 31
5 II 21 5
2 13 0
5 16 II
TU!i2 9 1
T)Bi2 7 20
— I 41
C^'»^ 61210 8
2 13 55
5 2p 29
TTI)25 42 2
V!^z6 41 22
— 0 40
9 14 29 II
2 Id 38
7 7 31
711 8 16 16
ni 8 12 48
-3 28
10 15 16 31
2 17 32
7 19 37
Tri2i 23 0
TI12I 19 28
—3 32
12 16 56 19
2 19 -21
8 13 13
/16 45 50
/16 42 32
-418
26 3 23 7
3 I 5
I 21 12
ir 8 8 15
It 8 9 6
+0 51
27 4 24 12
3 I 59
2 5 2
122 53 48
122 54 32
-}-o 44
Mart.^o 7 28 36
3 4 43
3 16 58
R 7 15 56
R 7 19 9
-^2 13
Jfri. j 12 20 22
3 10 6
6 5 30
Tll 2 15 5
ni 2 13 9
-I 56
6 13 7 II
3 II 0
6 17 36
TTI15 32 58
Tfli5 30 17
—2 41
7 13 55 52
5 II J3
5 2p 29
Tri28 35 20
TII28 32 0
—3 20
8 14 46 28
3 11 47
7 II II
/11 23 35
/11 19 22
—4 13
9 15 38 18
3 13 40
7 22 46
/23 58 5
/23 54 42
—3 23
^^r/. 16 21 9 52
3 19 55
10 14 19
K21 33 56
K21 33 36
— 0 20
Maii. 9 16 4 15
4 9 2d
7 25 54
^26 II 7
V?2d 8 28
—2 39
13 19 3 0
4 12 57
9 12 17
K15 49 27
K15 48 21
— I d
14 19 45 2
4 13 50
9 24 28
K28 47 4
H28 45 14
— I 50
16 21 13 54
4 25 35
10 19 55
T25 5<5 52
T25 55 50
— I 2
17 22 3 37
4 16 28
II 3 12
(5 10 17 26
(5 10 16 31
— 0 55
27 6 43 51
4 24 25
3 9 32
n(!2 5 59 46
^i?2 5 59 29
— 0 17
29 8 12 0
4 26 10
4 5 4
^23 3 18
^23 2 30
—0 48
Mail, so 8 56 34
4 27 3
4 17 17
TTL d 10 46
Hl 6 10 ]
—0 45
Ju?uu I 10 31 10
4 28 48
5 10 50
/ I 52 22
/ I 51 31
— 0 51
2 II 21 39
4 29 41
5 22 16
/14 30 10
/14 29 M
— 0 56
6 14 46 24
5 3 u
1 6 ^9
l^ 4 3 22
^'4 0 23
—2 59
7 15 33 34
5 4 4
7 18 13
^16 18 45
^si6 15 48
—2 57
8 16 17 11
5 4 56
7 29 34
^28 35 20
^28 32 32
— 2 48
9 1(5 59 0
5 5 48
8 11 8
Kio 58 8
Hio 56 11
— 1 57
LUNJB: MEflllDIANjBLONGITUDinES
GRENOFICI CBSERFATM
CUM COMTUTO NOSTRO COLLATE.
Anno JuLiANO MD CCXXVI. Currente.
Tranfitus Limli
Argiime7it^
T>iflantia
Longitudo
Lmgitudo
Error
Luna T. aq.
Amuum.
€«#
Centti Luna
Ohfervata.
Centri Luna
Comput,
Comf.
U. O. H. f //
S. 0. /
5. 0. /
9. / //
q. t n
t II
Junii.io 17 40 5
5 6 41
8 22 57
i;^^3 32 52
K23 30 35
—2 17
II 18 21 23
5 7 33
9 5 6
T 6 25 18
T 6 22 23
—2 55
12 19 4 45
5 8 26
9 17 19
TI9 40 46
T19 37 58
—2 48
15 21 39 38
5 II 4
10 27 J4
ir 2 38 17
H a 3^ 0
—4 17
21 2 57 37
5 15 29
I 10 25
SI21 15 31
^21 18 55
-1-3 24
22 3 50 53
5 16 22
I 24 36
W 6 1^ 16
!? J^7 3i
+ 3 15
25 6 10 21
5 18 59
3 448
!iji8 51 22
Iii!i8 52 II
—0 49
29 9 17 58
5 22 29
4 23 2
/10 30 41
/10 32 1
-4-1 20
Jami.^o 10 9 15
J2^///. I II I 15
5 23 22
5 4 24
/22 59 14
/23 0 58
-hi 44
5 24 14
5 15 36
-V? 5 23 28
^ 5 24 41
-fi 13
2 II 52 31
5 25 7
5 26 42
^17 42 ^9
K17 44 26
+ 1 47
C^'»^ 3 12 43 4
5 26 0
6 7 43
^ 0 0 32
v\v> 0 0 id
— 0 Id
:: 5 14 15 20
5 27 45
6 29 53
vw!24 32 2
««24 30 37
—I 25
6 14 57 28
5 28 37
7 II 8
K 5 50 56
>^ 6 4^ 2
—I 54
7 15 38 19
5 29 30
7 22 36
K19 16 d
K19 13 53
—a 13
8 16 18 55
6 0 22
8 4 21
T I 52 0
T I 49 20
—2 40
10 17 44 7
6 2 7
8 28 56
T27 53 49
T27 51 48
— 2 I
12 19 24 28
6 3 52
9 25 16
^25 44 29
^25 39 41
—4 48
15 22 34 10
6 6 32
II 7 53
Sii 30 25
TII23 43 3
Sii 25 15)
—5 6
Juizi- 25 6 24 40
6 14 28
3 II 12
ni23 44 15
■4-1 12
Cent. I 12 12 49
6 20 39
6 0 40
;Av;2o 35 21
^20 35 47
-f-o 2d
jiig, 2 12 56 45
6 21 32
6 II 48
K 2 5d 26
H 2 5d 7
— 0 19
3 13 38 2
d 22 24
d 23 4
H 15 22 4
K15 21 8
— 0 %6
4 '4 «8 35
6 23 17
7 4 32
K27 55 2
^'7 53 56
—I 6
5 H 59 30
6 24 10
7 16 17
Tio 38 5d
Tio 37 38
—1 18
6 15 41 5^
6 25 3
7 28 22
T23 16 9
T23 35 27
— 0 42
7 16 27 16
6 25 56
8 10 50
^ 6 52 13
0 d 51 20
— 0 53
8 17 16 46
6 25 49
8 23 44
(^20 31 48
^20 29 2d
— 2 22
9 18 II 30
6 27 42
9 7 3
I 4 37 55
IT 4 33 45
—4 10
11 20 15 14
6 29 29
10 4 55
S 4 13 37
S 4 7 20
-d 17
, 13 21 20 21
7 0 23
10 19 17
S19 39 16
S19 31 45
7 31
13 22 23 26
7 I 17
11 3 4^
a 5 17 55
a 5 11 18
— d 37
Jtig. 19 2 41 41
7 5 44
I 13 48
«21 8 29
'^2\ 7 2d
—I 3
-^0 431
20 3 29 6
7 ^ 37
I 26 50
m 5 4 58
TTl 5 4 i^
LUNJE ME<!(ID IJNyE LONGITUDINES
G RENOVIC I O'BSERFATM
CUM COMPUTO NOSTRO COLLJTjE.
Anno JuLiANO MD CCXXVI. Currente.
^
Tranfitus Limhi
Argument.
Difiantia
Longitudo
Longitudo
Error
Luna. T. aq.
Annuum.
€am
Centri Luna
Ohfervata.
Centri Luna
Cofnput.
Comf.
; M. D. H. f n
S. 0. /
S. 0. •
0. / //
9- r //
i /■/
'
Aug. 22 5 7 25
7 8 24
2 21 50
/ I 40 31
/ I 41 0
H-o 29
23 5 58 jr
7 P 18
3 3 51
/14 28 20
/14 29 11
■4-0 51
24 6 51 7
7 10 II
3 15 35
/27 I 47
/27 3 18
-HI 31
M 7 43 12
7 " 5
3 27 6
V? 9 24 54
V? 9 27 42
-f 2 48
25 8 34 I
7 II 59
4 8 27
I'? 2 I 43 22
W21 4d 16
-t-2 54
27 9 22 40
7 12 52
4 IP 41
«^4 0 3
i^ 4 2 43
-f-2 40
28 10 8 50
7 13 4*^
5 0 52
5^ld 18 d
J^id 20 d
+ 2 0
Aug. 29 10 52 36
7 14 39
5 12 4
X^28 39 43
i^28 41 14
-hi 31
Cent. 31 12 16 43
7 16 26
d 4 45
H23 45 49
K23 45 44
— 0 5
,
C^;;/-. I 12 56 46
7 17 19
d Id 22
T 6 32 40
T d 32 33
—0 7
Sep. 2 13 41 0
7 18 13
d 28 16
T19 33 27
T19 33 42
-1-0 15
3 14 25 41
7 19 6
7 10 28
0 2 49 17
0 2 48 41
0 36
4 15 13 50
7 20 0
7 23 2
(5 id 21 20
^ Id 20 13
— I 7
"■
6 17 3 32
7 21 48
8 19 17
iri4 20 Id
iri4 18 40
—I 36
7 18 4 37
7 22 42
9 2 58
128 49 41
128 47 6
— 2 35
10 21 8 24
7 25 26
10 15 15
a 13 48 56
R13 4^ 19
—2 57
17 2 6 28
8 0 50
I d 44
Tfli2 17 d
^li2 15 57
—I 9
24 8 3 40
8 7 11
3 29 44
iwll 32 26
VNVMI 34 14
-i-I 48
25 8 48 12
885
4 II 5
^23 50 42
J^'23 52 26
-M 44
27 10 12 9
8 9 54
5 3 58
ni8 50 55
K18 52 20
H-l 25
28 10 53 27
8 10 48
5 15 37
T I 40 32
T I 41 I
-TO 29
i'f/'/-. 30 12 21 6
8 12 36
6 9 40
T28 8 50
T28 8 14
— 0 36
oao. I 13 i> H
8 13 31
d 22 8
^11 49 19
^ II 48 56
—0 23
2 14 I 54
8 14 26
7 4 56
5.^5 47 34
»25 46 40
— 0 54
3 14 58 24
8 15 21
7 18 5
ITio I d
iTio 0 iS
—0 48
4 15 58 48
8 Id 16
8 I 32
124 28 43
2X24 27 15
— I 28
5 17 I I
8 17 II
8 15 Id
S 9 d 30
S 9 4 c
2 2 1
d 18 2 27
8 18 d
8 2p 10
ii^23 50 27
S23 47 12
—3 15
7 19 0 56
8 19 1
9 13 7
a 8 37 3?
a 8 33 6
—4 32
10 21 35 3
8 21 4d
10 24 32
rrj;z2 4d 25
!7i:22 43 8
~3 17
H-i 43
20 5 8 30
901
2 15 52
V?24 II 20
\^24 13 3
21 5 56 42
9 0 5d
2 27 19
>^ 6 28 32
i?^ d 30 27
4-1 55
25 8 47 23
9 4 36
4 13 2d
K2d 2 15
K2d 3 23
+ 1 8
O&o. 31 13 49 44
9 10 9
d 29 28
3X19 22 17
2119 20 37
— I 40
^LUNJS ME(IiID I AN^ LOKGITUVIUE S
GRENOFICI OBSERV AT/E
CUM CO MPUTO NOSTRO C 0 L L J T ^.
Anno Jul I AND MDCCXXVI. Currente.
Tranfith LimU
Luna T. ^f.
M.
D. H. / //
Nov.
1 14 53 II
2 15 56 18
3 16 56 23
Nov.
Dec.
3 49 12
6 o 42
7 21 31
8 3 18
9 3^ 30
27 II 31 37
2 16 39 50
3 17 29 40
6 19 47 37
Argumerit,
An?mum.
9 II 4
912 o
9 12 56
9
9
9
10 o
10 2
10 4
10 8
10 9
10 12
25 o
27 47
29 37
Cfz?^.
Pff.
17 3 56
18 4 37 o
23 8 14 o
25 10 II 45
2d II 17 37
27 12 25 22
29 14 28 38
30 15 22 13
31 16 II 52
Tiiftantia
I
2
3 22
4 4
4
5
8
8 20
10 o
24 3 5
28 39
o
4
29 13
25 52
6 19
2
I
10 22
10 22 57
10 27 36
10 29 29
0 25
1 22
3 15
4 II
5 7
Longitudo
Centri Luna
Olfervata.
0.
/
/'
s
4
18
39
«dp
19
17 43
i>L
4
12
40
vw I 25
K 8 4
T 2 59
T15 55
«13 8
112 26
a28 57
nei3 38
fi^2 5 44
Longitudo
CentriLunai
Comput.
S 4 Id
S19 15
a 4 9
Error
Comf.
I 25 56
7 13
7 50
4 52
18 59
3 21
2 17
16 35
o 39
K 3 20
H15 29
020 9
J19 33
S 5 I
S20 49
SI22 25
nK 7 50
m^2 2 49
Svv? I ay
K 8 6
T 3 01
T15 56
«13 8
112 23
a28 53
tTl)i3 32
525 38
~i 44
— X 10
—2 49
H 3 21
H1531
020 9
119 30
S 4 59
S20 47
R22 23
ny 7 46
Tlj^22 45
-h* 3
+2 35
+r 4
1 15
+0 7
2 27
3 56
—5 30
5 35
-^i
+2
-ho 29
—2 22
— 2
— 2
— 2
—3
—4
Anno JuLiANO MDCCXXVIL Currente.
1 id 59 8
2 17 45 33
5 20 10 57
Id 3 54 2
18 5 17 4
20 d 54 58
Cent. 25 12 7 43
2d 13 d 15
'^an. 29 15 38 6
FeL I 18 d 30
6 3
d 59
9 47
8 14 22 {Qi 7 22 o
8 27 44'|£^2i 28 33
10 5 30I / I 4i 38
II 19 4
II 20 55
II 22 4d
II 27 27
II 28 23
o I 10
o 3 57
I 27 54
X 21 32
3 Id 45
5 27 I
d II 3d
7 24 7
9 3 24
T 5 43 21
o o 57 21
^ 27 4d 48
^13 51 29
a 29 4d 48
«15 39 I
Tt[2J 24 4d
W 7
!ii;2l
/ I
o o
(5 27
ai3
a29
fti5
TTI27
Id
23 -
21
40 -
37
29
44
17
59 43
47 40
49
12
4.6
20
36
20
19
0
—5 37
-d 53
—5 9
+0 56
-\-2 22
-1-0
2
O
2
—5
LUN^ ME^IDIAK^ LOKGITWDIKES
GRENOVICI OBSERVATM
CUM COMTUTO NOSTRO COLLJT^,
Anno JuLiANO MD CCXX VII. Currente.
Tranfitus Limbi
Argument.
Difiantia
Longitudo
Longitudo
Error
Luna T. a^.
Annuum.
^am
Centri Luna
Centri Luna
Comf.
Olfervata.
Comput.
M. D. H. / //
S. 0. /
0 15 54
S. 0. ,
0. / //
<?. / //
1 'I
PeL 15 3 59 39
2 1 38
g. 9 37 36
g. 9 37 21
— 0 15
17 5 41 30
0 17 44
2 2d 46
JT d 25 30
ir d 25 7
— 0 23
i8 6 39 41
0 18 40
3 10 I
ir2o 29 15
312 0 28 30
—0 45
20 8 44 40
0 20 31
4 7 44
S20 4 I
S20 I 24
—2 37
::::24 12 34 3
0 24 12
6 5 24
ni^22 28 28
"^22 30 31
+2 3
27 15 4 52
0 25 56
7 17 3
"l 7 35 39
Jl 7 34 38
— I I
Ff^. 28 15 56 50
0 27 51
8 0 13
TTI21 44 15
nL2i 42 13
— 2 2
ikf^r^. I 16 50 16
0 28 46
8 13 1
/ 5 24 7
/ 5 22 21
— I 4d
2 17 44 49
0 29 41
8 25 26
/18 41 5
/18 37 37
-3 28
7 21 53 37
I 4 15
10 23 8
^20 59 45
J5^20 58 23
— I 22
14 I 58 10
I 9 39
I 0 47
g 5 37 48
g 5 34 45
—3 3
15 2 45 2P
I 10 34
I 12 50
0 18 45 15
018 42 4d
—2 29
16 3 39 34
I II 28
I 25 16
.Tr 2 II 22
lU 2 9 50
—I 32
17 4 33 5
I 12 22
2 8 5
3ri5 54 5^
J15 53 25
—I 31
18 5 32 31
I 13 17
2 21 18
129 59 23
J29 57 56
—I 27
19 6 33 33
I 14 12
3 4 54
S14 24 3d
S14 22 20
—2 Id
zo 7 33 44
I 15 6
3 18 48
S29 7 54
S29 5 4
■—2 50
21 8 31 24
I 16 I
4 2 55
R14 7 14
SI14 4 Id
-2 58
23 10 17 43
1 17 50
5 I 23
ftl!i4 35 40
Tiei4 33 44
-I 56
25 11 57 30
I 19 38
5 29 31
!^i5 5 4
!^i5 5 3
— 0 I
Mart.zf 13 42 29
I 21 26
6 26 42
n(;i4 42 44
nBi4 43 10
-\-Q 16
^^r?. 3 19 49 H
1 27 44
9 21 58
i^id 29 28
!^id 27 9
— 2 19
5 21 13 13
I 29 31
10 14 31
Hio 49 10
Kio 47 45
— I 25
7 22 32 45
2 I 18
II 7 9
T 5 32 5
T 5 29 58
—2 7
IX I 32 44
2 4 52
0 24 40
S27 51 3
b 27 47 46
— 3 17
^l 'l " t
2 18 15
7 14 56
W 3 23 38
V? 3 23 57
+ 0 19
28 Id 5 28
2 19 8
7 2f 57
^id 24 51
"V^id 24 23
— 0 2d
29 i5 56 34
2 20 I
8 8 45
^^29 d 54
^29 5 54
— I 0
^p//. 30 17 43 53
2 20 54
8 20 21
^il 32 3d
^ii 30 53
—I 43
Afo/V. 6 21 51 17
2 ^6 II
10 29 33
T25 49 5
T25 4^ 17
—2 48
7 22 36 55
12 2 20 13
2 27 4
II II 36
« 8 59 17
« 8 56 55
— 2 22
3 0 37
I 2 57
S 5 17 25
S 5 Id 26
— 0 59
13 3 21 43
3 I 30
I 16 33
S19 58 41
©19 58 29
— 0 12
14 4 20 36
3 2 23
2 0 21
Sl 4 42 52
a 4 43 28
-f 0 3d
€ h
LUn^ UE(!{_1'D1AKS L 0 N G ITUD 1 KE S
GRENOFICI CBSERFJTjE
CUM COMTUTO NOSTRO COLLJTyE»
Anno JuLiANoMD CCXXVII. Currente.
Tranfttm Limli
Argument. T)iftantia
Longitudo
Longitudo
Error
Luna T. aq.
Anmmm. € a%
Centri Luna
Centri Luna
Comp.
Olfervata.
Comput.
M. D. H. / //
S. 0. /
3 3 16
5. 0. /
2 14 16
0. / //
Q. f II
1 II
Maii. 15 5 15 42
SI19 26 50
SI19 26 49
— 0 I
16 6 7 4
3 4 9
2 28 13
ff^ 4 6 35
TI5 4 6 19
— 0 16
18 7 42 56
3 5 56
3 25 52
iii^ 3 12 52
i^ 3 II 31
— I 21
19 8 30 11
3 6 47
4 9 29
^17 38 21
gli7 37 ^
— I 19
Cent. 20 9 23 10
3 7 40
4 22 58
TTl 2 0 40
TIL I 59 47
— 0 53
21 10 9 43
3 8 33
5 558
Trii6 10 8
TJ16 9 54
— 0 14
:: 22 II 3 24
3 9 26
5 18 47
/ 0 II 58
/ 0 12 29
-fo 31
26 14 47 22
3 12 58
7 7 27
■^23 45 53
^23 44 48
— I 5
MaiL 30 17 44 45
3 16 28
8 23 18
K13 9 II
K13 6 28
—2 43
Jtmi. I 19 3 25
3 18 12
9 16 21
T 7 38 2
^ 7 35 42
— 2 20
2 ip 44 21
3 19 5
9 28 7
T20 II 43
T20 9 11
-1 32
3 20 28 4
3 19 57
10 10 9
«3 5 37
« 3 3 12
—2 25;:
12 4 3 14
3 27 0
I 27 24
^1.29 25 50
SI29 28 6
-]-2 I5
13 4 53 22
3 27 53
i II 28
ni!i4 16 03
TTK14 18 22
-4-2 19
14 5 41 P
3 28 45
2 25 24
1H^28 53 II
nK28 55 20
-f2 9.
17 8 5 6
4 I 23
4 5 47
Tilii 3< 55
ITlii 33 12
H-i 17
18 8 56 55
4 2 15
4 18 38
Tri25 22 33
Tri25 23 26
+ 0 53
Cent.\\i9 9 52 20
4 3 8
5 I 12
/ 9 0 33
/930
-1-2 27
20 10 47 9
4 4 I
5 13 27
/22 30 22
/22 30 54
H-o 32
21 II 43 0
4 4 54
5 25 25
"W 5 43 24
"V? 5 44 23
H-o 59
24 14 16 46
4 7 31
7 0 I
^13 57 16
5;^i3 55 46
— I 30
2p 17 39 0
4 " 53
8 26 43
T14 58 17
T14 55 36
—2 41
'Jtmii.io 18 20 37
4 ^2 45
9 8 31
T27 30 9
T27 27 39
—2 30
7z^//V. I 19 5 4^
4 13 38
9 20 38
b 10 24 15
^ 10 20 56
—3 19
2 19 55 23
4 14 30
10 3 7
«23 45 38
^23 42 21
—3 17
11 3 36 34
4 21 34
I 24 10
W2^ 45 27
ITB23 48 29
+3 2
C^»/-. 14 6 3 27
4 24 12
3 5 3^
Til 7 19 52
TIl 7 22 48
-4-2 56
19 10 31 18
4 28 37
5 7 38
■^14 17 52
■V?i4 21 26
+ 3 34
20 II 22 37
4 29 29
5 19 7
'V?27 0 15
"^/^27 3 12
+ 2 57
21 12 12 50
5 0 22
6 0 25
S^ 9 3 ' 35
^ 9 33 53
H-2 18
23 13 39 0
5 2 7
6 22 36
>^ 4 3 33
K 4 3 44
-4-0 II
24 14 18 45
5 3 0
7 3 59
H16 II 57
K16 10 0
—I J7
26 15 36 25
5 4 45
7 26 c
Tio 27 18
Tio 24 12
—3 5
27 id i5 38
:
5 5 37
8 7 27
T22 44 8
T22 41 31
—2 37
LUNJS ME<IiIDJJNJB L 0 N G I TUD I N E S I
GRENOFIC I O'BSERVJTJE
CUM COMPUTO JVOSTRO COLL AT M: 1
Anno JuLiANO MD CCXXVII. Currente. ':
Tranfitus Limhi
Argument.
Diflantia
Longitudo
Longitudo
Error
Luna T. aq.
Annuum.
€ ^0
Centri Luna
Centri LuJta
Comf.
Ohfervata.
Corn-put.
M. D.
H. / //
S, 0. /
S. 0. »
0. )f //
0. / //
y //
28
16 59 26
5 d 30
8 19 12
« 5 15 38
« 5 12 49
—2 49
jum. 31
iP 33 41
5 9 9
9 2d 41
ITij 13 24
iri5 722
— d 2
Aug. I
20 34 23
5 10 3
10 10 4
I29 33 45
129 27 12
-6 33
3
22 39 34
sr II 50
II 7 59
S29 43 4d
S29 38 5
—5 41
8
2 16 7
5 15 23
I 5 51
^ 2 14 19
S " ^^ ^3
+ 1 4
:::: 9
3 850
5 16 16
I 20 d
^17 25 20
^17 28 32
-4-3 12
10
3 jd 20
5 17 9
240
f1 2 10 4d
ni 2 14 20
4-3 34
n
4 48 14
5 18 2
2 17 34
^Id 33 19
/ 0 31 30
TRid 3d 41
-1-3 22
12
5 42 0
5 18 56
3 0 45
/ 0 34 31
H-3 I
13
6 37 II
5 19 49
3 13 32
/14 d 29
/14 9 54
-f-3 25
14
7 32 49
5 20 43
3 25 55
/27 21 3
/27 25 3
-4-4' 0
16
9 ip 24
5 22 29
4 19 36
V?22 59 50
V?23 425
+4 35
17
10 8 II
5 23 23
5 I 0
J^ 5 29 43
^ 5 33 31
-t-3 48
18
10 53 32
5 24 16
5 12 10
^1749 8
5^17 52 15
-1-3 7
IP
II 35 56
5 25 p
5 25 51
H 0 I 35
H 0 3 27
-4-1 52
20
12 18 10
5 26 2
d 4 9
K12 9 55
K12 II 9
-l-i 14
. .; 22
13 35 54
5 27 48
d 2d d
I ^^^ ^3
I ^ '3 41
—I 42
.■2Z
14 15 31
5 28 42
7 7 15
T18 38 58
T18 3d 40
—2 18
24 14 57 5
5 29 35
7 18 37
y I I 31
« 0 58 43
—2 48
25
15 41 38
6 0 28
8 0 17
y 13 3d 40
^13 34 0
— 2 40
26
16 30 12
6 I 22
8 12 18
c52d 30 2
^ 2d 2d 51
—3 II
^2Z^. 50
20 21 30
6 4 57
10 4 3d
S22 14 57
S22 8 19
— d 38
5?/^;^. I
22 17 41
6 d 45
II 3 I
^22 45 50
SI22 39 16
-d 34
8
3 32 6
6 12 9
I 28 27
^24 54 15
TT[24 jd 2
-l-i 47
9
4 28 36
6 13 3
2 II 42
/ 9 2 3d
^ 9 4 55
-4-2 19
11
6 21 47
^ 14 52
3 6 59
^ 5 59 I
^ d I 53
4-2 52
12
7 15 16
6 15 4d
3 19 2
^18 51 57
V?i8 55 10
4-3 13
M
8 51 3P
6 17 34
4 2 9
J^i3 48 40
^13 52 3
+ 3 23
15
9 3449
6 18 28
4 23 21
i^2d I 8
vw2d 4 27
H-3 19
16
10 15 34
d 19 22
5 4 24
K 8 8 41
K 8 11 48
+ 3 7
Cent. 18
II 34 42
d 21 9
5 2d 21
T 2 25 41
T 2 2d 41
H-i 0
:: 20
12 5d 14
d 22 57
d 18 34
1^7 4 34
T27 3 25
—I 9
21
13 39 56
d 23 51
d 29 58
0 9 38 20
^ 9 36 50
—I 30
22
14 27 11
d 24 46
7 II 38
^ 22 2d 5
c5 22 23 57
—2 8
LUN^ ME(RlVIAnyB L 0 K G ITWD lU E S
GRENOFIC I OBSERVATM
■' -CUM COMPUrO NOSTRO COLLATE,
Anno JuLiANO MDCC XXVII. Currente.
Tranfitm Limli
Argument.
Tiiflantia
Longitudo
Longitudo
Error
Luna. T. aq.
Annuum.
(S ^@
Centri Luna,
Centri Lma
Comf.
S. 0. /
Ohfervata.
~ Comput.
M. D. H. . ' 11
J. 0. /
7 23 39
0. / //
0. / //
f /f
Sept, 2:} 15 18 30
6 25 40
IT 5 »9 39
I 5 2d 57
—2 4X
I
.34 16 13 32
6 26 35
862
IiS 49 58
ITiS 47 39
—2 19
^5 17 ir 28
6 27 29
8 18 50
S 2 30 58
S 2 27 5d
—3 2
-::: 26 18 10 22
5 28 24
922
S16 31 jd
G.id 28 47
—3 9
i
5f^/:. 27 19 8 15
6 25? 19
9 15 37
a 0 54 54
a 0 50 50 —4 4|
ft I 27 34—3 14 1
Otio.'.w 2:2 39 30
7 2 58
II 12 19
^ I 30 48
8 4 II 0
7 8 27
2 4 21
^ 0 32 44
"^ 0 34.37
-J-i 53
10 5 59 i4
7 10 17
2 29 3
^2d 48 34
'V?2d 50 9
+1 35
12 7 32 8
7 12 7
3 22 11
J»5ll 42 34
5^21 43 15
4-0 41
13 8 13 40
7 13 I
4 3 29
K 3 51 18
K 3 53 II
4-1 53
-: 14 8 53 25
7 13 56
4 14 40
K15 58 22
K15 59 42
-l-i 20
17 10 52 10
7 i<5 40
5 18 6
T22^ 44 51
T22 44 37
— 0 14
20 13 14 34
7 19 25
6 22 51
IT I 20 49
I I 18 53
—I 56
21 14 9 5
7 20 20
7 5 0
114 43 52
gi4 41 21
—2 31
- : 22 15 6 19
7 21 16
7 17 30
128 19 19
128 18 53
— 0 2d
I
^6 18 49 48
7 24 58
9 10 45
^25 148
a24 58 27
—3 21
;
:27 19 39 55
7 25 53
9 24 40
ne 9 43 17
TU! 9 39 6
—4 II
[,
:.0i?(?. 2-9 21 18 I
7 27 44
1,0 22 46
1^ 9 39 17
ft 9 35 22
—4 5
f
J^^Ti. 8 ^5 ^^ 32
8 6 5
2 19 32
VW16 44 52
««Id 45 2d
+0 34
12 S 8 0
8 9 46
4 5 4
T 5 X9 50
T 5 29 14
— 0 36
^3 8 47 54
8 10 41
4 Id 25
T1748 7
T17 49 30
-hi 23
■14 9 30 2
8 II 36
4 27 51
0 0 19 34
y 0 20 18
-f-o 44
•15 10 15 25
8 12 32
5 9 28
^ 13 10 18
»13 9 23
— 0 55
j 16 II 4 54
^17 12 I 22
8 13 28
5 21 19
^2(5 18 39
«2d 18 58
-f-o 19
8 14 24
6 3 27
IT 9 50 40
ir 9 48 7
—2 33
AT^JTi. -22 l5 46 40
8 19 4
8 8 33
a2o 39 55
a2o 38. 24
— I 31
i5fc„ 5 3 18 18
9 0 id
I 16 15
v^ii 14 6
^'11 13 18
—0 48
6 4 3 2c
9 1 12
I 27 53
^23 49 53
iw2 3 48 49
— I 4
7 4 45 ^
928
2 9 21
M 6 936
M d 8 41
—0 55
t2 8 6 48
9 6 46
4 6 36
^ 7 29 d
« 7 28 58
— 0 8
i 13 >8 54 i^
7 9 7 42
4 18 2$
'6 20 25 38
(5 20 24 44
—0 54
1 14 9 46 2t
> 9 8 3^
5 0 38
13 46 48
IT 3 44 49
—I 59-
, 1 -15 10 4i '
7- 9 9 34
5 13 ^
' I17 33 M
iri7 30 34
2 40
1 17 12 4d I-
^ 9 II 27
6 9 1
Sid 13 35
Sid IG 40I— 2 55 1
lUUS ME^IIID IJN^ LOKGlTUt>IKES
GRENOFICI OB SERF ATM
CUM COMTUTO NOSTRO COLLATE.
Anno Ju L I A N o MD CCXXVII. Currente.
TranfitHs Limli
Argumefit.
Tiiftantia
Longitudo
Longitudo
Error
Luna % a^.
Annuum.
€^ti
CentriLima
Ohfervata.
Centri Liinoi
Comfut.
Com^.
M. D. H. / //
S. 0. /
5. 0, /
0. / //
0. ' //■
r "
Dec, 18 13 45 21
9 12 23
6 22 23
a 0 55 37
a 0 52 3d
—3 I
IP 14 41 4
9 13 20
760
Slij 42 40
aij 40 35
—2 5
21 16 22 42
9 15 r2
8 3 37
njjij 15 28
iri|i5 13 II
—2 17
2j 19 38 3<5
9 18 56
9 28 32
TU13 17 18
11I13 1443
—2 35
Df-f. 26 20 32 53
9 19 52
10 II 47
11127 31 48
TTl27 29 2
— 2 4d
Anno Jul IAN 0 MDCCXXVUI. Currente.
Jau, 3 2 39 45
9 25 24
I 6 34, K 0 59 50
H 0 58 31
—I 19
8 5 59 17
10 I 2
3 3 10
0 I 58 40
8 I 59 32
-ho 52
9 6 44 9
10 I 58
3 14 54
^14 32 55
^14 33 9
+0 14
10 7 33 14
10 2 54
3 26 55
(527 28 32
»27 28 2
— -o 30
II 8 27 3
10 3 50
4 9 16
ITio 50 30
ITio 49 12
—I 18
12 9 25 5
10 4 46
4 21 59
124 41 9
2124 39 20
—I 49
14 II 26 37
10 6 39
5 18 30
S23 44 54
G23 42 n
—I 59
15 12 27 32
10 7 35
5215
a 8 49 10
a 8 47 57
— I 13
Id 13 22 53
10 8 31
6 16 II
a.24 3 2
SI24 2 27
— 0 35
17 14 15 6
10 9 27
7 0 Id
n^ 9 19 44
nj) 9 19 39
— 0 5
19 15 54 16
10 II 18
7 28 31
ft 9 34 25
ft 9 34 13
— 0 12
:: 20 Id 46 14
10 12 14
8 12 31
ft24 26 18
ft24 23 58
— 2 20
21 17 35 10
10 13 10
8 26 15
Wl 8 58 56
Til 8 55 43
—3 13
23 19 24 54
10 15 2
9 22 56
/ 7 21 25
/ 7 Id 22
—5 3
jf^;!?. 24 20 22 20
10 15 57
10 5 45
I 19 15
/21 8 43
/21 4 13
—4 30
Ff/-. 3 3 14 32
10 24 16
X^5 I 50
T14 59 53
—I 57
4 3 54 58
10 25 II
2 0 35
T27 II 24
T27 10 0
—I 24
5 4 37 50
10 26 7
2 II 54
S 9 28 52
« 9 28 24
— 0 28
Cent.y.S 7 10 34
10 28 53
3 18 I
TTiS 8 3
iri8 7 46
— 0 17
Ce;/t.::9 8 9 54
10 29 48
4 0 50
S I 51 46
© I 52 9
+ 0 23
10 9 7 0
II 0 44
4 14 6
Sid 4 3
Sid 4 20,
-fo 17
Ce^t.'MS II 58 53
II 3 31
5 25 46
irg I 22 30
W I 23 25
4-0 55
Ce^t. 14 12 52 20
II 4 26
6 10 7
Tfi^id 59 54
?l]Ji7 I 48
-fi 54
:: 17 15 29 45
II 7 12
7 23 8
T?l 3 25 5
Tfi 3 25 27
-f-o 22
18 x6 22 7
II 8 7
8 7 4
npis 18 30
IIJ18 Id 42
—I 48
19 17 18 56
119 2
8 20 41
/ 2 48 31
/ 2 45 24
—3 7
LUN^ MEIIIDIJNM LONGITUPIUes
GRENOVICI O'BSERFATM
CUM COMTUTO NOSTRa COLLATM,
Anno JuLiANO MD CCXXVIII. Currente.
Tranjitus Limhi
Argument.
Di/iantia
Longitudo
Longztudo'
Error
Liina. T. ^^.
Annuum.
€«#
Centri Luna
Oljervata,
Centri Luna
Comfut.
Comf.
M. D. H. / //
S. 0. /
S. 0. /
0. / //
Q,. 1 II
1 II
Mart- 2 I 53 21
li ip 5
0 29 18
T23 0 6
T22 55 45
—4 21
6 5 o 12
II 22 43
2 15 19
l[i2 58 32
112 57 17
— I 15
7 5 55 27
II 23 38
2 27 39
126 8,58
I26 8 20
— 0 38
8 6 52 3P
II 24 33
3 10 25
S 9 42 49
S 9 4a 55
-1-0 6
9 7 50 II
II 25 27
3 23 36
S23 44 20
S23 43 44
-0 36
II 9 40 55
II 27 17
4 21 9
^23 9 5
a23 8 37
— 0 28
12 10 33 32
II 28 II
5 5 23.
^i! 8 29 5.
ni! 8 29 13
-ho 8
13 II 25 5
II 29 6
5 19 51
TQ!24 6 31
TIP24 8 12
-t-i 41
17 15 6 13
0 2 44
7 17 25
TTt26 33 22
III26 34 50
-i-i 28
18 16 6 13
0 3 38
8 I 12
/11 20 26
/11 21 13
+0 47
151 17 6 26
0 4 33
8 14 34
/25 38 44
/25 3^ 57
— I 47
23 20 34 53
0 8 10
10 3 47
i^i8 10 4
i^i8 6 5
—3 59
Mart. 2^ 21 17 28
094
10 15 12
K 0 30 35
>^ 0 26 34
—4 I
^pr/. 2 2 55 55
0 16 13
I 14 24
I[ 8 51 2
1 8 48 44
—2 18
6 6 36 19
0 19 49
3 4 25
R 2 2r 47
a 2 21 3
—0 44
7 7 29 27
0 20 43
3 17 55
^16 35 25
a 16 34 45
—0 42
10 10 I 23
0 23 24
5 0 15
t^ J. 37 36
(^ I 37 13
— 0 23
II 10 53 6
0 24 18
5 14 43
«17 15 24
gi7 15 45
-1-0 21
Cent. 12 11 48 32
0 25 12
5 29 12
Tll 2 59 13
m 3 I 25
H-2 12
14 13 48 17
0 26 59
6 27 41
/ 4 3 38
/ 4 627
+2 49
15 14 50 33
0 27 53
7 II 30
/19 2 24
/19 4 57
+2 33
17 16 49 48
0 29 41
8 7 54
'V?i7 26 20
^17 24 38
—I 42
18 17 42 55
I 0 34
8 20 27
t^ 0 48 53
5^ 0 45 53
—3 0
21 19 5^ 30
I 3 14
9 25 57
K 8 34 51
H 8 30 36
—4 15
22 20 35 51
I 4 7
10 7 15
K20 43 50
K20 39 48
—4 2
23 21 14 33
I 5 0
10 18 25
T 2 49 10
T 2 46 I
—3 9
24 21 53 42
I 5 52
10 29 30
T14 55 48
T14 53 16
—2 32
jpri. 30 1 45 27
I 10 18
0 2(5 16
iri7 45 38
I17 42 23
—3 15
M?/V. 4 5 24 20
I 13 51
2 16 32
blii 49 51
aii 50 6
+ 0 15
5 6 14 48
I 14 44
2 29 57
^25 57 30
a25 57 30
-fo 0
6733$
I 15 37
3 13 41
Wio 22 18
Wio 22 8
— 0 10
7 7 52 c
I 16 3c
3 27 44
^1^25 6 21
"1'2 5 5 0
— I 21
8 8 41 II
I 17 23
4 II 50
ftlo 7 27
ti:i^io 6 12
—I 15
9 9 32 35
I 18 16
4 25 5
;i^25 23 49
^25 22 43
—I 6
LUK^ ME(I{IDIJN^ LONGITUVINES
GRENOVICI O'BSERFAT^
; CUM COMPUTO NOSTRO COLLJT^:-
Anno Jul i a n o MD CCXXVIII. Currente. ■ ' ?
Tranfitus Limli
Argument.
Difiantla
Longitudo
LongHMo
ErfW
LunaT'^q.
Annuum.
€^^
Centri Luna
Qentri Luna
Qcmf.
S. 0. /
5. 0. 1
Ohfervata.
Comfut.
M. D. K. f //
0. / //
c. r //
i /(
Mail.- lo lo 27 30
I 19 9
5 10 20
Tflio 48 16
TIL 10 48 24
-fa 8^
Ce^t.-M/^ 21 58 15
2 I 28
II' 3 8
«17 28 28
^17 24 24
—4 4
"Jmii. I 4 12 16
2 7 38
I 29 28
^21 42 25
^21 43 56
-hi 3J
4 d 36 12
2 10 16
3 10 32
f^ 4 55 22
S 45J 7
— 0 15
5 7 25 10
2 II 8
3 24 32
!i^i9 40 25
fti9 39 46
—0 39^
6 8 16 57
2 12 I
4 8 33
^ 4 34 50
TR 4 34 0
— 0 50
9 11 13 47
2 14 40
5 19 58
/19- 27 41
/19 27 53
-}-o 12
C^»^ 10 12 17 I
2 15 33
6 3 19
^462
V? 4. 5 44
— 0 18
15 16 28 33
2 19 56
8 5 4
Hii 5 46
Kii I 21
—4 25
16 17 8 27
2 20 48
8 16 39
K23 27 36
K23 22 35
—5 I
17 17 47 36
2 21 40
8 28 8
T 5 38 53
T 5 34 56
— J 57
21 20 40. 10
2 25 10
10 14 7
«25 043
024 57 47
—2 56
22 21 31 41
2 25 2
10 25 57
ir 7 54 50
U 7 52 25
^-z 25
23 22 26 45
2 25 55
II 8 I
3X21 9 6
121 6 54
™-2 12
JulH. 2 5 22 27
3 2 12
I 26 II
ni!i5 57 12
nci6 0 9
■1-2 -57
3 3 57
2 23 55
f^i5 11 35
!^i5 14 41
+3 6
3 6 12 36
3 4 49
3 7 51
g29 52 38
i^29 54 34
+ 1 56
5- 8 2 31
3 6 35
4 5 29
TR29 13 5
T529 13 57
-Ho 52
6-9 2 15
3 7 28
4 19 2
/13 47 42
/13 48 13
--a 31
8 n 2 34
3 9 14
5 15 15
V?I2 21 31
W12 22 16
--0 45
12 14 22 55
3 12 45
7 3 58
K 5 44 34
K 5 41 38
—2 56
13 15 3 52
3 13 37
7 15 31
K18 18 8
Ki8 14 23
—3 45
14 15 43 31
3 14 30
7 26 58
T 0 39 10
T 0 34 40
—4 30
18 18 31 40
3 18 0
9 12 47
c5 19 40 20
^19 36 39
—3 41 '
19 19 21 I
3 18 53
9 24 33
5 2 18 42
IT 2 15 6
—3 36
21 21 10 15
3 20 39
10 18 54
128 36 0
128 11 3
—2 57
22 22 7 47
3 21 32
I r 132
S12 19 35
S12 17 II
—2 24
28 2 29 49
3 25 57
I 8 57
m^^ 25 0
TII25 29 19
+4 39
Ja///. 31520
3 28 36
2 21 5
Tfiio 10 15
TRio 14 0
-f-3 45
Jug. I 5 57 44
3 29 29
3 4 57
TT(24 50 30
^24 52 52
+2 22
2 6 56 10
4 0 22
3 18 36
/ 9 18 58
/ 9 20 32
-t-i 34
4 8 54 57
4 2 9
4 14 58
\^ 7 32 3
-W 7 34 H
,-4-2 II
5 9 51 16
4 3 2
4 27 36
'V?2I 14 15
'V^2I 16 49-
4-2 34
^ 10 43 391 4 3 56
5 9 54 ^ 4 40 21
JW 4 41 56
-fi 35
LUNJ^ ME(^1VIAKj€ longitudines
GRENOVICl OBSERFJTjE
CUM COMPUTO NOSTRO C 0 L L A T j£.
Anno JuLiANO MDCC XXVIII. Currehte.
Tranfith Limhi
Luttx T. aq.
11 14 ip 38
12 14 59 3^
18 19 53 o
Cent.
Sep..
26 2 I 19
29 4 49 5^
(5 II 37 20
7 12 17 50
8 12 57 32
11 15 7 12
12 15 5<5 o
13 16 47 45
14 17 41 45
15 18 36 38
16 19 31 8
19 22 6 50
Argument.
Annuum.
4 S 20
4 9 13
4 14 33
20 48
23 30
o 40
25 2 37 39
28 5 41 17
Sept. 29 6 36 25
O^.r ■^^ 8 11 30
h: )".5 10 5 5 42
S) 6 II 36 7
'-^CuS 13 3 21
9 13 52 16
10 14 42 51
11 15 35 35
C?;^f,::i4 t8 13 17
4
4
5
5
5
5
5
5
5 8
5 9
5 12
T)iftdntia
J.
0.
/
7
7
34
7
18
45
9
29
II
4 58
17 28
26 19
7 25
18 26
21 44
3 10
14 51
26 51
9 13
21 59
2 35
Longitudo
Centri Lnna
Ohfervata.
T 8 4 56
T20 16 4i
S 5 53 38
Ocio. 31
iVoi'. r
: •• 5
6
Seff. 7
8 14 50
8 54
II 46 44
6 12 39 9
7 13 29 22
8 14 25 10
:9 15 17
II i5 59 J3
16 56
19 41
20 35
22 24
2d 2
5 26 56
5 28 45
5 29 4°
6 o 35
6 I 30
5415
18 59
19 56
23 37
24 33
25 28
26 24
27 20
29 II
1 14 36
2 25 51
3 8 44
4 3 II
5 18 24
5 29 20
6
7
7
7
9
t^l9 25 10
/ 4 44 4x
K21 20 47
X 3 3^ 31
T15 52 53
022 31 32
ir 4 54 13
117 2
SP13 29 41
S27 3 d
TTj['io 30 20
Longitudo
Centri Luna
Comfut.
T 8 I 20
T20 13 n
S 5 49 53
Error
Cotnf»
-3 36
—3 31
—3 45
7
ito o 19 4
/ 4 48 57
X21 21 29
T 3 39 21
T15 51 53
^22 29 32
IC 4 53 5
117 27 36
S o 17 51
7
o 35
Tljio 27
+z 12
H-4 15
-4-0 42
— o 10
TII28 38 58
"^12 37 21
Y?26 17 6
v^ZZ 19 56
Tii 48 II
T23 58 53
21 14I o 18 27 31
IT o 48 36
113 15 40
125 52 58
^ 5 II 2J
2 22
13 42
25 17
2 5
4- 6 34
4 17 45
6 I 49
(5 13 o
6 24 21
7 5 58
7 17 50
8 12 37
K25 36 25
T 7 47 4
o 26 45 20
19 i5 44
112 1 54 I
•^ 4 42 42
IT[28 41 38
^^^ 39 8
V?26 17 55
i^22 2 1 39
Tii 49 3 5
T23 59 55
«18 26 28
ir o 47 13
Jri3 15 10
2125 52 59
Sl 5 II 9
— 2
— I
— o
— I
— 2
— 2
—3
H25 35 46
T 7 47 44
^26 45 r
JT 9 16 o
IL2i 53 II
S 4 42 10
S17 38 44 S17 ^9 32
R,i4 12 71^114 12 13
+2
40
+1
47
H-o
49
+ 1
43
-4-1
24
+ 1
2
— I
3
— I
23
— 0
30
H-o
I
— 0
14
— 0
39
+0
40
— 0
2
'O
44
— I
I
— 0
32
+ 0
48
-f 0
6
LUN^ MEI^IDIJ N^ L0NGITU3INES
G RENO VIC I OBSERFJTM
CUM CO MTUTO NOSTRO COLLATj£>
i^nno JuLiANO MDCCXXVni. Ourrente.
Tranfitus Limhi
Luntz T. aq^.
Nov. \2 17 47 57
13 18 3 J 5
16 21 3 21
Argument.
Annuum.
7 o-
7 I
7 3.
:: 23
26
28
2p
A'^jt;. 30
Dec.
3 «
5 31
6 51
7 31
12 36
55 47
C<?»f.
10 31
12 18
14 6
I
3
5
7
8 14 57 27
10 16 32 41
17 18 50
18 5 43
Dff.
II
12
13 18 54 37
_^5_2o_43_47
30 8 23 19
TDifiantia
25 33
8 52
20 43
8 13
27
5
I
56
52
44
36
2
24
16
r2| 8
8 9
4 9
ii 4
14 54
22 26
15 46
27- 7
8 I
19 29
II 52
4 47
28 34
10 53
6 28
19 44
3 17
17 6
15 12
Longitudo
Centri Luna
Olfervata.
c.
'
//
a27
^26
53
56
31
28
^3
18
Longitudo
Centri Luna
Comput.
^27
Hl?ii
t^26
v^'28 25
K
8 32
T
3 2<;
T
t5 35
r
^7 45
b
9 5P
Ji
4 49
9 4P
S o 23
S2<5 43
aio 8
w 7 32
TU)2i 35
^ 5 55
)0^io 32
TII20 34
5 29 48 50
53 57
55 13
27 12
\^2 8
H 8
T 3
T15
o 9
S4
S o
S26
aio
m 7
irj^zi
iJ-lj r
|£ii20
Tn2o
Error
Com^'
•0 29
-I o
-4 6
23 52
29 33
22 34
34 56
22 42
34 49
53
28 47
50
^29 47
•I 45
■3 13
2 26
o 51
o 4
O I
o 46
•I 17
-o 40
o 17
-o 28
~2 12
-3 35
-4 13
•I 29
Anno JuLiANO MDCCXXIX. Currente,
Jan. I
10
7 52
8
H
53
5
2
47
125
12
36
125 12
9—0 27
Cf«f. 3
12
I 40
8
16
45
5
26
42
^^^21
41
18
S2I 40
24—0 54
7
15
17 14
8
20
29
7
17
34
frpi7
17
I 2
Hl'17 15
8;-2 4
12
19
34 24
8
25
8
9
26
12
i 0
15
20
/09
36—6 6
25
5
28 15
9
6
17
2
25
13
C5l2
16
«12 16
2o|~f-o 0
26
6
14 41
9
7
13
5
6
38
C24
32
54
C^24 33
7,+° ^3
M +1 10
37 -f-o 30
351 + 1 X
4 -1-0 42
52i + o 33
20 — 0 17
27
7
4 H
9
8
8
3
18
10
ii 6
5<5
5
IT 6 57
Ce«z^.::2 8
7
57 23
9
9
4
3
29
51
U 19
33
7
iri9 33
|^<j,7. 30
9
44 32
9
10
55
4
23
49
e.15
34
34
S15 35
CfK^ I
II
31 12
9
12
46
5
18
50
SL12
5«
22
R12 59
Feb. 2
12
22 ?o
9
13
42
6
I
47
!^L27
10
19
SI27 10
4
13
59 8
9
^5
33
6
28
28
11^26
20
57
]Ip2 6 20
€ k
LUNyB ME<11IT>IJN^ LOKGITUDIKES
GRENOFICI O'BSERrJTjE
CUM C0MTUTO NOSTRO COLLATM,
Anno JuLiANo MD CCXXIX. Currente.
Tranfttus Limbi
Argume7it^
Diftantza
Longltudo
Longitudo
Error
Luna T. aq^^
Annuum.
€^@
Qentri Lunx
Qentri Luna
Comp.
Ohjervata.
Comput.
M, D. H. / //
s. 0. /
9 16 28
S. 0. /
0. / //
Q. f f/
t If
¥el. 5 14 48 0
7 12 XI
ftii II 22
«II 10 13
—I 9
6 15 38 43
9 ry 24
7 25 3
«25 5 43
«25 3 45
-I 58
9 18 ^9 14
9 20 10
9 7 51
/10 33 0
/10 25 52
—5 8
10 19 30 24
9 21 5
9 21 33
/25 4 4^
/24 58 45
—5 56
11 20 30 40
9 22 2
10 4 58
"V? 9 24 52
W 9 18 31
— 5 21
12 .21 27 46
9 22 57
10 18 4
^f?23 29 10
V?23 24 I
—5 9
25 d 38 18'
lo 3 55
3 8 34
125 41 33
ir25 43 42
+2 9
16 7 31 37
10 4 51
3 20 33
S 9 29 28
G 9 31 56
-j-2 28
27 8 24 43
10 5 45
4 2 49
©22 37 0
S22 39 44
+ 2 44
; Vel. 28 9 16 46
10 5 41
4 15 23
a 6 8 22
a 5 10 45
-1-2 24
" Mart. 2 10 55 54
10 8 30
5 II 32
ny 4 29 55
"B 4 33 19
+3 24
5 13 29 17
10 II 15
5 23 2
«19 48 17
«19 48 48
+0 31
23 3 39 5
25 5 22 20
10 26 39
I 25 0
J 9 27 45
I 9 25 40
—I 5
10 28 27
2 18 5
S 4 17 33
S 4 18 55
+ 1 23
: Afor/-. 30 9 32 23
II 2 57
4 21 20
TT{)ii 38 0
W^i 38 57
+0 57
^ A^rL J2 12 5 41
II 5 39
5 3 33
«27 30 42
«27 31 13
^-o 31
4 14 7 35
II 7 27
7 2 37
TII29 10 22
^29 10 58
H-o 35
5 15 11 49
II 8 22
7 17 3
/ 14 44 7
/1444 8
—0 I
19 I 34 53
II 19 57
0 24 41
I 5 19 9
IT 5 i5 2
~3 7
-22 4 8 29
II 22 37
I 28 47
S12 29 46
©12 29 4
— 0 42
> 23 4 58 57
II 23 31
2 10 38
S25 9 53
S25 10 43
-f 0 50
2.8 8 57 28
II 27 56
4 15 34
« 3 59 25
^ 3 59 21
0 5
: J^n. 29 9 48 4°
II 28 50
4 29 44
«19 15 5
«19 14 2
—I 3
il/^/7. 2 12 51 8
0 I 30
5 13 31
/ ^ 54 54
T 6 ^6 6
-fi 12
7 17 47 34
0 5 57
8 22 50
^21 8 45
^21 3 25
—5 20
9 19 15 8
0 7 43
9 17 34
H17 19 43
H17 13 45
-5 58
—I 42
18 I 13 9
0 14 44
0 17 37
^25 3 35
125 I 53
\ 19 2 4 52
0 15 37
0 28 57
G 8 32 48
S 8 31 5
—I 42
20 2 55 34
0 16 30
I 10 31
S21 8 5
S21 7 49
— 0 1 5
24 6 6 48
0 20 I
2 29 58
^13 47 55
Mn 48 23
40 28
25 7 37 3
0 21 45
3 25 58
«12 20 27
«12 18 51
—I 35
! Mali. 29 10 25 23
0 24 25
5 9 58
ni'28 35 13
i7U8 31 39
—3 34
! C^^if. 30 II 33 i5
0 25 18
5 24 35
/14 29 17
/14 25 42
—2 35
• Cent. 31 12 40 5
0 25 I I
5 9 5
V? 0 i5 43
V? 0 14 49
—I 54
LUNJB ME(B^1T)1JKM LONGITUDIKES
GRENOFIC I OBSERFATM
CUM COMPUTO NOSTRO COLLATE.
Anno JuLiANO MDCC XXIX. Currente.
Tranfttm Limli
Argument.
Difiantia
Longitudo
Longitudo
£rrcr
Luna T. aq.
Annuum.
(g ^®
Centri Luna
Centri Luna
Comp.
S. 0, /
Ohfervata.
Comput.
M. D. H. ' n
J-. 0. /
7 7 15
0. / //
0. / //
f n
Jmii. 2 14 44 55
0 27 57
i^ 0 45 3
i«i 0 42 39
—X 24
3 15 38 10
0 28 50
7 20 44
iw;i5 10 47
^15 7 45
—3 2
4 16 26 38
0 29 43
8 3 46
^Z9 3 16
VVVN28 59 56
—3 20
5 17 II 12
I 0 35
8 16 23
K12 26 43
K12 22 23
—4 20
6 17 53 18
I I 27
8 28 37
H25 24 25
K25 20 6
•—4 19
7 18 34 26
I 2 20
9 10 31
T 8 3 32
T 7 59 31
0 14 59 2
—4 I
10 20 42 49
I 4 57
10 14 49
^15 0 20
—I 18
II 21 29 55
I 5 49
10 26 0
«27 15 17
^27 14 30
—0 47
17 I 42 12
I 10 12
0 22 49
S29 55 31
9329 55 29
— 0 I
18 2 30 14
I 11 5
I 4 44
SI12 54 22
i>ll2 54 30
-ho 8
22 5 32 19
I 14 35
2 25 44
g 7 15 50
g 7 15 33
— 0 17
24 7 13 i^
I \6 20
3 23 19
ni 6 27 15
J^ 5 25 2
—2 13
25 8 10 34
I 17 13
4 7 31
T521 35 24
"Ui 32 0
—3 24
26 9 12 36
I 18 6
4 21 51
/ 6 58 42
/ 6 55 261—3 16 f
a8 II 23 0
I 19 52
5 20 28
^ 7 58 53
■^ 7 55 27
-3 26
29 12 27 28
I 20 45
6 4 30
V?23 14 0
W23 II 20
— 2 40
Jmii.-^o 13 24 17
I 21 38
6 18 II
J^8 4 57
^ 8 2 45
— 2 12
Julii. I 14 15 52
I 22 31
7 I 29
^22 28 50
^12 26 35
—2 15
2 15 3 8
I 23 23
7 14 24
M (5 24 22
K d 21 26
—2 56
11 21 56 15
2 I 16
10 29 54
129 52 40
129 52 46
-l-o 6
21 5 8 42
2 9 II
2 22 25
ni I 44 26
Jjl I 45 7
+0 41
22 6 3 0
2 10 4
3 6 19
%i6 25 28
nii5 25 48
+0 20
23 7 I 46
2 10 57
3 20 22
/ I 19 II
I I ij ^-j
— I 14
26 10 9 36
2 13 37
5 2 27
^16 21 44
\^\6 19 24
2 20
27 II 7 56
2 14 30
5 16 5
«« I 9 20
«t^ I 6 40
— 2 40
Jr^///. 28 12 I 37
2 15 23
5 29 25
ivv5i5 40 6
i^i5 37 10
— 2 56
^ag. 2 15 48 7
2 19 47
8 I 17
T22 52 49
T22 51 41
~-i 8
3 i^ 32 5
2 20 40
8 12 57
» 5 25 29
« 5 23 47
—I 42
6 18 55 42
2 23 19
9 17 27
iri2 23 40
iri2 23 17
— 0 23
10 22 21 6
2 26 52
II 4 20
a 3 6 3
a 3 5 49
— 0 14
17 3 5 32
3 Z II
I 21 41
1^27 Id 24
«27 19 28
-1-3 4
18 3 59 6
3 3 5
2 5 30
Trii2 I 38
!fU2 3 49
-1-2 iT
19 4 56 24
3 3 59
2 19 28
TR25 49 54
TlUd 52 01
-f2 7
21 6 59 9 3 5 4^^!
3 17 27
/25 24 58
/26 25 19
-i-O 2 1
LliN^ ME(I{IV IJN^ LONGITUV IK ES
GRENOVICIO^BSERVATyE
CUM C 0 MPUTO NOSTRO COLLATE.
Anno JuLiANO MD CCXXIX. Currente.
Tf^nfitus Vmhi
Argument.
DifUntia
LoTigHudo
Longitudo
Error
Lnna T. ^q^'
Annuum.
€ ^0
Centri Luna
Zentri Luna
Comf>.
Olfervata.
Comput.
ivL D- H. / rf
S. 0.^ /
/. 0. 1
0. / //
0. r //
1 /1
Avg, 2 2 8 o 24
3 6 40
4 I 16
V?ii 4 10
V?li 3 46
— 0 24
24 9 52 44
3 8 28
4 28 7
^ 9 50 27
^ 9 49 22
— I 5
25 10 42 42
3 9 21
5 II 3
;w23 52 41
5^"23 52 5
— 0 36
26 II 19 18
3 10 15
5 23 39
H 7 40 I
H 7 39 S
— 0 53
27 12 15 48
3 II 8
6 5 58
K2I 12 25
H2I II 20
— I 5
29 13 4^ 52
3 12 55
6 29 47
T17 25 8
T17 23 58
— I 10
30 14 25 36
3 13 49
7 II 23
« 0 8 23
« 0 7 5d
— 0 27
^?/^. 31 15 10 55
3 14 42
7 22 53
^12 40 45
«12 59 44
— I I
Seft. 1 15 58 10
3 15 36
8 4 19
^25 3 45
C5 25 2 37
— I 8
2 16 47 21
3 16 29
8 15 44
IC 7 21 40
ir 7 20 28
— I 11
4 18 29 30
3 18 17
9 8 46
S 1 59 58
«B I 59 24
— 0 34
7 20 59 50
3 20 59
10 14 35
Slio 20 8
Slio 19 21
— 0 47
8 21 47 30
3 21 53
10 27 i
a23 47 22
SI23 4^ 10
— I 12
20 7 48 22
4 I 50 3 27 II
4 2 44 4 10 II
^ 5 17 57
«« 5 17 22
— 0 35
21 8 38 35
^19 9 0
Jiv^i9 9 23
+0 23
22 9 25 19
4 3 19
4 22 50
H 2 45 53
K 2 4*5 28
+0 35
25 10 9 33
4 4 33
5 5 7
K16 8 40
K16 9 57
+ 1 17
24 10 52 27
4 5 27
5 17 5
K29 19 51
H29 20 42
-Ho 51
26 12 20 25
4 7 16
6 10 19
^25 5 45
T25 7 20
-t-i 35
27 13 56
4 8 TO
6 21 40
Q 7 42 34
c5 7 43 58
-4-1 24
28 13 51 44
494
7 2 55
(^20 II 15
(5 20 II 36
H-o 21
29 14 40 13
4 9 59
7 74 9
K 2 31 56
IT 2 32 12
-4-0 16
Seft. 30 15 30 18
4 10 53
7 25 24
3114 47 49
J14 48 27
-t-o 38
Oao. 1 17 II 5 3
4 12 43
8 18 13
S 9 20 58
2p 9 21 46
4-0 48
3 18 I 35
4 13 38
8 29 53
S21 46 31
S21 47 45
-+-I 14
5 19 37 0
4 15 27
9 24 0
^17 26 5
SI17 26 18
-i-o 13
6 20 23 2C
4 16 21
10 6 33
Tm 0 51 58
W 0 50 24
—I 34
7 21 9 37
4 17 16
10 19 28
T!Ji4 4^ ^°
ni>i4 43 29
—2 41
:: 8 21 57 ^
r 4 18 II
II 2 45
W-^9 12 35
mp 8 2
—4 33
15 3 45 i
5 4 23 42
I 27 45
"V? I 36 15
VS' i 36 58
+ 0 43
Cent, 18 6 37 2^
5 4 26 2^
3 8 52
^15 2 ic
i^i5 0 33
—I 37
19 7 23 5
5 4 27 23
3 21 4d
i^28 40 31
iJ5^28 39 II
— I 20
20 8 9 2C
3 4 28 i^
5 4 4 16
Kii 59 35
KI2 051
+ 0 52
21 8 51
i 4 29 i:
4 16 22
K25 4 55
K25 5 5^
? -+o 41
LUN^ ME^IDIATSLj^ lokgitudines
GRENOVICI OBSERVJTM
CUM COMTUTO NOSTRO COLLATJE.
Anno Julia NO MD CCXXIX. Currente.
Tranfitjis Ltmlz
Argument.
'Diftantia
Longitudo
Longitudo
Error
iMJiA T. ai.
Annuum.
€^#
CentriLuna
Centri Luna
Cowp.
S. 0 /
Ohfervata.
Comfut.
M. D. H. / //
j. 0 /
0 / //
Q / //
/ 'r
OHo. 24 10 59 24
5 I 58
5 20 58
g. 3 14 45
b 3 17 8
-1-2 23
28 14 15 20
5 5 39
7 5 17
122 38 46
IC22 39 46 4-1 0
30 15 5J 34
5 7 30
7 27 46
S17 9 30
Q17 10 30 +1 0
0^0. 31 16 43 3^
5 8 25
8 9 18
S29 32 18
G29 33 44 -^i 2^
A^*?!». I 17 29 56
5 9 21
8 21 5
ai2 7 7
SI12 8 27 -f I 20
2 18 15 6
5 10 i5
9 3 13
^25 0 12
^1,25 0 x6 -\-o 4
4 iP 45 2
5 12 7
9 28 38
W^^ 2 27
"I?2i 59 5 5 ~2 32
5 26 32 14
5 13 2
10 II 58
^ 6 ix 15
^ 6 i-j 13 '—4 2
:: 16 6 6 32
5 22 21
3 2 19
K 7 45 14
>f 7 44 0 _2 14
17 6 50 8
5 2317
3 14 49
K21 2 58
K21 0 45' J
19 8 14 30
5 25 8
4 8 41
Ti5 41 36
Ti5 42 24,_{_o 48
20 8 57 3^
5 26 4
4 20 9
T29 13 49
T29 15 27
4-1 38
21 9 42 24
5 25 59
5 I 24
^5ii 38 48
^ II 41 II
4-2 23
22 10 29 21
J 27 55
5 12 28
«23 59 37
^24 I 35
+1 59
23 II 18 20
5 28 51
5 23 28
IC 5 17 22
TT 5 18 43
+1 21
25 13 I 47
6 0 43
6 15 25
© 0 49 38
S 0 50 7
-fo 29
27 14 40 23
6 2 34
7 7 41
S25 25 53
S25 25 9
— 0 44
28 15 25 55
5 3 30
7 19 7
A 7 52 56
^ 7 52 24
— 0 32
A^oi;. 29 16 11 38
6 4 26
8 0 48
^20 28 26
R20 28 37
H-o II
D>c. I 17 38 48
6 6 17
8 25 12
TT^l5 30 32
lTj[Ji5 29 42
— 0 40
2 18 23 20
6 7 13
980
t^ 0 5 25
l^ 0 4 41
—I 44
4 20 I 12
5 9 5
10 4 55
^^^ 51 21
^2845 59
—5 22
14 4 45 33
5 17 32
2 II 42
K15 58 19
K15 57 3
— I l5
15 5 29 24
5 18 27
2 24 17
K29 23 4
K29 20 55
— 2 9
19 8 25 0
5 22 II
4 II 14
^19 54 55
^19 55 50
+ 0 54
21 10 4 10
5 24 2
5 3 29
1,14 25 5
1114 27 20
-hX 15
22 lo 55 I
5 24 58
5 14 30
ir,25 42 2
IC26 42 54
-i-o 52
28 15 37 23
7 0 34
7 23 3
TTK12 17 50
nyi2 i5 2
-— I 48
29 16 20 46
7 I 30
8 5 24
W?'^ 34 19
11P25 32 36
— I 43
—2 24
Dec, 30 17 5 37
7 2 25
8 18 9
^9 lo 495i£ii 9 8 25
Anno Jul lAKo MDCGXXX, Curr^nte.
J^'^'^' T 18 44 56I 7 4 i7|. 9 14 51J ni 7 34 42ITII 7 29 5^1—4 46
€ 1
LUNjB ME^^IDIJKM LONGITUDllS^ES
GRENOVICI O'ESERl^ATyE
CUM COMTUTO NOSTRO COLLATE.
Anno JuLiANO MD CCXXX. Currente.
Tranfitt
is Lhnli
Argumefit^
T^iflantia
Longltudo
' Longltudo
Error ^
Luna T. aq.
Anniium.
€^it
Centri Luna
Centri Luna
ComP. 1
Ohjervata.
i Comput.
M. D.
H. / //
s. 0 /
J. 0 /
0 < ff
Q /^ 7/
' / II
Jan. 13
4 50 10
7 H 35
2 15 13
T20 I 35
T20 I 29
— 0 6
M
5 34 5^
7 15 30
2 27 10
^ 2 49 25
a 2 49 50
-Vo 24
15
6 20 57
7 16 26
3 8 52
«15 21 47
^ 15 22 21
4-0 34
16
7 8 49
7 17 22
3 20 21
«i? 43 56
827 44 21
4-0 25
18
8 48 53
7 19 13
4 12 56
3122 13 55
122 15- 2
+ 1 7
21
II 18 15
7 22 0
5 16 41
S29-24 9
5B29 23^48
— 0 21
25
14 i^ 55
7 25 42
7 3 48
10^21 26 30
1152 r 22 59
—3 31
27
15 51 3
7 27 33
7 29 7
i£i)i8 53 7
i^i8 48 56
—4 11
28
16 40 46
7 28 29
8 12 18
TT[ 3 0 0
711 2 55 18
—4 42
29
17 34 33
7 29 25
8 25 50
Trii7 23.25
Trii7 17 4^
—5 43
'Jan. 30
18 32 39
8 0 21
9 9 40
/2 1.45
/ I' 55 39
—6 6
Feb^ 9
2 41 30
8 8 41
I 11 38
I'5 ^1'^
T13 54 47
4-0 32
10
3 26 57
8 9 36
I 23 49
T27 843
T27 9 54
+ 1 11
14
6 41 2
8 13 17
3 10 31
117 22 16
117 23 22
+ 1 6
ij
7 31 44
8 14 12
3 21 55
129 3^ 15
I29 38 6
-t-l 51
16
8 23 8
8 ir 7
4 3 21
Sii 54 21
Sii 55 55
41 34
^7
9 11 I
8 16 2
4 14 48
©24 18 50
S24 19 56
-fl 6
: : 20
II 29 14
8 18 47
5 20 I
ny 2 55 5
n 2 54 44
— I 21
21
12 15 54
8 19 42
6 2 13
TT^'ld 24 42
ngi^ 22 25
—2 17
23.
13 47 53
8 21 31
6 27 28
^14 13 3?
iiiii4 10 6
—3 27
F^^. 24
14 37 32
8 22 26
7 10 35
^2^ 32 16
!ii|28 27 25
—4 ri
Mart. 1 3
4 32 13
9 7 2
2 7 58
]Il2 15 18
ITii 16 30
H-I 12
15
6 13 22
9 8 51
3 0 54
G 6 46 30
S ^ 48 30
4-2 0-
16
7 2 31
9 9 45
3 12 25
S19 2 20
S19 4 51
42 31
17
7 50 9
9 10 40
3 24 02
a I 26 55
a I x8 48
t' 5^^
19
9 21 14
9 12 28
4 17 48
SI27 1 21
a 27 I 55
+0 34
20
10 5 46
9 13 22
5 0 1
n^io i^ 29
mio 19 48
4-0 19
21
10 50 53
9 14 16
5 12 ?3
nt!24 3 45
npM 2 24
—I 21
22
ir 38 45
9 15 10
5 25 24
t^ 8 11 55
t2j 8 10 16
—I 39
*3
12 29 25
9 16 4
6 8 35
t^2 2 41 44
;£i522 40 48
—I 56
30
19 19 50
9 22 25
9 15 40
15^ 6 35 38
:^ d i8 2
—7 36
il/^?"f . 3 1
20 10 59
9 23 19
9 29 8
J^20 49 52
:5^20 42 22
—7 30
Jpri. 1
20 58 50
9 24 12
10 12 16
K 4 5^ ¥
H 4 44 53
—5 53
I LUNj^ ME^IDIAN^ LOKGITUDINES
GRENOVICI OBSERVATM
CUM COMPUTO NOSTRO COLLJT^. |
Anno Julia NO MDC<
:XXX. Currente.
Tranfitiis Limli
Argument.
Tii/faHtia Longttudo
Longltudo
Error
Lunx T. ac[.
Anmum.
€^@
Centri Lunx
CentrfLuna
'Comf,
S. 0 /
Ohfervata.
Comput.
M. D.
H- t n
S. 6 /
2 21 57
0 f /f
a f /f
f //
.A^ri. 13
5 42 45
1042
Qi6 18 53
©25 20 21
+ 1 28
15
7 13 15
10 5 49
3 15 26
^21 15 27
^21 i5 41
4-1 14
-: I<5
7 57 5
10 6 42
3 27 33
W 4 10 26
ITl? 4 11 12
+0 46
: 17
8 41 10
'° l H
4 9 58
m? 30 29
W^i 30 41
-|-o 12
- 18
9 2d 37
10 8 28
4 22 45
ft 1 19 32
si:ii 1 18 39
—0 53
19
10 14 40
10 9 22
5 5 53
ftij 38 45
fti5 37 22
—1 23
20
11 6 32
10 10 rj
5 19 24
Tn, 0 2d 40
TTl 0 24 53
— -i 47
21
12 5 28
10 ri 9
f 5 17
T1115 39 2
WI15 37 5^
— rir
25
\6 17 40
10 14 44
8 024
V?i7 14 18
V?i7 11 17
—3 I 1
26
17 15 20
10 15- 37
8 14 29
^2 4 46
Jw 2 055
—3 5"r
27
18 8 14
10 16 31
8 28 14
5^id 33 0
i^id' 28. 22
—4 38
28
18 57 11
10 17 24
P 11 40
H 0 41 25
K 035 51
--5 35
Jpi. 29
\9 43 12
10 18 17
9 24 42
H14 29 52
H14-24-5P
—4 53
+3 50
Mail. 11
4 23 37
10 28 0
2 2 26
a 3 58 28
^ 4 2 18
13
551 3
10 29 45
2 25 42
R28 j?> 17
Q.28'50 3
— 0 14
—0 44
— I 31
14
6 3S 50
II 0 37
3 7 48
^n 41 43
n^n-40'5p
15
7 17 23
II I 30
3 20 \6
WH 57 46
"^24.55 15
I5
8 2 55
II 2 23
4 3 P
{^ 843.12
ft 8.40.- 57
-^2 15
17
8 5T 52
II 3 16
4 16 26
^23 1 18
ft22 58.24
— - 54
19
10 44 22
" ^ l
5 14 16
"I23 12 5d
"123, ■ 9-20
-^3 Id
21
12 54 30
II d 48
6 13 i^
{24 44 35
/24-42 27
—2 8
22
14 2 39
II 7 42
6 27 54
'V?io 3? 5
'V?io.3i 21
^O 44
— 0 52
23
15 4 28
11 8 35
7 12 23
^'?2d 5.21
'\'?26 2 29
24
16 I 6
II 928
7 2d 36
vvvJlI lO 31
Ji^ii . 9 21
-^i 10
26
17 40 50
11 11 13
8 23 58
H 10 4 32
Kio 2 14
—2 18
27
18 26 22
II 12 6
9 7 ^
HiS 53 15
K23 50 2-7
—2 48
28
ip 10 .44
11 12 58
9 19 41
r 7 iP-34
T 7 17 20
^2 14
M/iV. 30
?o 40 37
11 14 43
10 13 52
0 3 21 22
^ 3.20 4
■^o 40
-I 24
— 2 54
'Junii. 9
3 48 26
11 22 36
I 25 8
■R24. i6- 59
^24 .25 35
30
4 30 32
II 23 28
2 6 49
ffl' 7 0- 17
TIB 6 57 23
II
5 12 3,5)
11 24 21
2 18 53
W19 50 2
iri!i9 48 50
1 12
:: 13
641 48
11 i6 6
3 14 9
t^i6 40 37
^16 38 54
■^I 43
Cf«f. 18
11 39 17
0 0 31
5 24 31
"W 2 ip 22
V? 2 15 48
^ 2A
t:^»/-. ip
12 44 17
0 I 24
6 9 13
V?i8 13 20
V?i8 11 6—1 14 1
LUNjE -ME^IDIJM^ LOKGlTUtHKES.
GRENOriClOBSERVATM
CUM COMPUTO NQSTRO COLLATM,
Anno J u l i a n o M © CCXXX. Currente.
Tranfitus Limit
Argument.
Dijiantia
Longitudo
Longitudo
Error
Luna % ag[.
Annuum.
€>#
Centri Luna
Centri Luna
Comp.
J. 0 /
0 3 10
Ohfervata.
Comfut.
M. H, D. f //
s: 0 »
p y //
% '■ ^1
1 /t
'JuniLzi 14 42 7
7 8 7
J*Ki9 18 40
^19 18 27
— 0 13
2J 16 21 18
0 4 55
8 5 39
K18 39 4
H18 40 28
-l-i 24
28 20 13 21
0 9 17
10 7 2d
«2438 3
(524 38 30
-f 0 27
:: 29 21 3 0
0 10 10
10 18 52
31 7 a a
3r 7 3 30
-t-i 28
Juln. 7 2 2p 51
0 \6 18
r 7 3
Tm 3 I 10
T? 2 59 32
-I 38
—4 2d
-4 23
-348
1 10
14 8 12 Id
0 22 26
4 6 54
/ 8 59 22
16 10 21 29
0 24 13
5 5 48
"V? 9 58 21
W 9 53 58
C^-^f* 17 11 25 36
0 25 6
5 20 25
V?25 43 19
V?25 39 31
19 13 20 0
0 26 52
d 19 7
^16 47 34
^26 4d 24
C(?''Bi!'.::2 1 14 58 0
0 28 38
7 16 34
K2d 2d 25
K2d 25 3
— I 22
22 15 46 0
0 29 30
7 29 43
Tio 32 25
Tio 32 I
— 0 24
~2 15
— 0 5
"~"o Id
^3 16 32 53
I 0 23
8 12 29
T24 12 17
^24 10 2
-24 17 20 7
I I 16
8 24 52
« 7 22 34
^ 7 22 29
2518 8 40
I 2 9
9 6 55
^20 13 54
^20 13 38
']uJiL 26 18 58 24
I 3 2
9 18 42
I 2 48 24
I 2 49 10
-t-o 46
\ Aug. 6 2 37 0
I 11 51
I 13 3
.« 7 48 29
- 7 48 27
Q 2
7 3 22 36
I 12 43
I 25 29
^21 14 57
f^2I 15 19
-f-O 22
" 7 2 42
1 Id 17
3 19 4
/18 7 27
/18 5 50
-"I 37
,; 12 8 5 22
I 17 II
4 2 14
^ 3 7 43
VV 3 5 17
—7. 26
13 9 7 19
I 18 4
4 17 33
-V^iS 20 28
^18 17 53
— 2 35
; 14 10 6 37
I 18 58
5 I 50
«« 3 40 5
S^ 3 37 21
—2 44
15 11 2 17
I 19 51
5 Id I
VWS19 0 37
««18 57 38
— 2 59
; Gfs£. Id II 56 2
I 20 45
d 0 0
H 4 12 58
H 4 10 52
—2 d
i ' 17 12 47 0
18 13 35 M
I 21 38
6 13 42
K19 9 41
Ki9 8 40
— I I
I 22 32
d 27 4
T 3 45 II
T 3 44 14
— 0 57
19 14 23 16
I 23 25
7 10 5
T17 54 55
T17 54 19
—0 3d
20 15 II 34
I 24 18
7 22 45
» I 38 25
« I 57 38
— 0 47
21 1(5 0 46
I 25 12
8 5 7
^14 5<^ 19
^14 55 12
—I 7
23 17 41 5d
I 2d 59
8 29 0
Hio 27 29
JTio 2d 31
—0 58
24 18 32 56
I 27 52
9 10 3<5
K22 50 15
;lr22 49 29
—0 4d
] 25 19 23 .$
I 28 4d
9 22 4
S 5 4 34
.?D 5 4 17
— cs 17
J 26 20 11 55
28 21 42 55
\^^ ^9 22 27 4.1
1 29 40
10 3 2(5
S17 15 57
S17 Id 13
+0 Id
2 1 2d
10 2d 6
Sin 49 41
Sin -fo 18
-4-0 Zf
a 2 20
n 7 32
il,24 21 47
a 24 22 4[-t-0 17
LUNjE me^ithak^ lokgitudines
GRENOVICI OBSERVATJE
CUM COMTUTO NOSTRO COLLATE.
AnnoJuLiANO MD CCXXX. Currente.
Tranfttus Limbi
Argument.
Diftantia
Longitudo
Longitudo
Error
Lunx r. <ef .
Annuum.
€^S
CentnLu7ia
Centri Lun^
Comp.
S. 0 /
S. 0 /
Ohfervata.
Comput.
M. D. H. / //
0 / '/
1 "
Sept. 7 4 56 8
2 9 30
2 17 4(5
/13 30 II
/13 32 27
4-2 16
9 6 58 55
2 II 19
3 15 40
"V^ia 52 25
^12 51 45
— 0 40
13 10 33 36
2 14 55
5 II 7
H12 10 31
K12 10 19
— 0 12
16 13 0 44
2 17 38
6 20 14
T25 II .4
T25 II 27
+ 0 13
Sept, 18 14 40 55
2 19 26
7 14 51
«22 9 45
«22 8 26
—I 19
OHo. 3 I 50 54
3 2 8
I 2 46
ni24 20 9
ni24 20 5
— 0 4
5 3 51 28
3 3 58
209
/23 43 16
/23 45 45
-^-^ 29
10 8 29 16
3 8 33
4 9 16
K 6 42 29
H <5 44 10
-Hi 41
13 10 JO 38
3 II 17
5 18 9
T19 7 27
T.9 9 44
+2 17
15 12 30 33
3 13 7
6 12 39
«16 18 38
«l5 19 57
-f I 19
21 17 31 7
3 18 38
8 21 59
R I 41 44
SI I 39 44
— 2 0
23 18 58 4
3 20 28
9150
SI26 15 40
SI26 13 21
—2 19
OBo. 26 21 7 17
3 23 12
10 21 4
!iii 5 12 2
^ 5 8 18
—3 44
A^w. 2 2 43 41
3 28 47
I II 38
V§ 3 18 27
V? 3 18 58
-t-o 31
3 3 44 50
3 29 43
I 25 47
V?i8 24 35
Af?i8 24 5
— 0 30
4 44^ II
4 0 38
2 9 52
i^ 3 18 22
J^ 3 19 37
-fi 15
5 5 35 30
4 I 34
2 23 48
««17 58 45
^17 59 12
-j-o 27
6 6 25 16
4 2 30
3 7 28
H 2 23 28
K 2 23 46
+0 18
7 7 12 40
4 3 25
3 20 51
H16 34 13
K16 34 59
4-0 46
9 8 45 II
4 5 16
4 i<5 36
T14 16 39
T14 18 46
+ 2 7
10 9 32 20
4 6 12
4 28 59
T27 48 31
T27 52 5
-+-3 34
II 10 21 II
4 7 7
5 II 5
«II 9 54
«II 12 37
-^-•2 43
13 12 5 40
4 8 59
6 4 30
1 7 13 3
ir 7 14 32
+ 1 29
17 15 25 16
4 12 42
7 19 34
S25 53 43
S2d 51 55
—I 48
18 16 9 56
4 13 37
8 0 47
a 9 2 18
SI 9 0 15
—2 3
19 16 52 40
4 14 33
8 12 7
^2 1 12 45
SI21 10 54
—I 51
20 17 34 18
4 15 28
8 23 37
n^ 3 31 20
W 3 29 29
—I 51
22 18 58 8
4 17 19
9 17 22
ITP28 57 II
Tiy28 53 3
—4 8
23 19 42 42
4 18 15
9 29 45
^12 15 38
^\2 II 48
—3 50
24 20 30 39
4 19 11
10 12 31
^16 3 27
^25 59 14
—4 13
Nov. 25 21 23 12
4 20 7
lo 25 42
TiUo 23 22
THio 18 54
—4 28
Dec. I 2 31 18
4 24 48
I 6 17
'V?27 14 18
V?27 14 28
4-0 10
5 5 57 ^6
4 28 33
3 I 48
K26 18 28
K26 18 48
-Ho 20
8 8 17 54
5 I 20
4 9 43
b' 6 56 26
« d 58 7
4 I 41
€ m
LUNjS ME<11IT>IJNJB LONGITUDINES
GRENOVICI OBSERVJTM
CUM COMTUTO NOSTRO COLL AT JE..
Anno J u L I A N o M D CCXXX. Currente.
Tranfttits Limhi
Argument.
T)ifln7itia
Longitudo
Longitudo
Error
Luna. T. aq.
Annuum.
€^iS
Centri Luna
Centri Luna
Comf.
Ohjervata.
Com'put.
M.
D. H. / //
s. 0 r
^. 0 /
0 / //
r If
Dec.
9 9 7 13
5 2 16
4 21 39
«19 58 23
^20 0 3
-Hi 40
10 9 57 57
5 3 12
5 3 18
I 2 47 28
IT 2 49 II
+ 1 43
II 10 49 30
5 4 8
5 14 42
ITij 25 56
]Xi5 25 58
+ 1 2
12 II 40 46
5 5 4
5 25 55
1127 54 0
ir27 53 17
— 0 43
13 12 33 0
5 <5 0
570
Sio 15 28
Sio 15 6
— 0 22
14 13 20 53
5 6 56
6 18 0
S22 29 5
S22 27 59
— I 6
15 14 d 24
5 7 52
6 28 59
R 4 39 II
^ 4 37 7
—2 4
16 14 49 41
5 8 48
7 10 2
ai5 48 9
ai6 45 24
— r 45
17 15 31 23
5 9 44
7 21 12
^28 59 42
ai8 57 5
—2 37
Dec.
23 20 2 31
5 15 19
10 4 26
mi7 35 40
TII17 31 56
—3 44
Anno JuLiANO MDCCXXXI. Currente.
Jan.
I 3 51 11 5 22 49
I 28 17
K20 47 17
K20 49 18
+ 2 I
3 5 27 2 5 24 41
2 24 56
T19 12 52
T19 13 17
-1-0 25
4 6 15 8
5 25 37
3 7 38
« 2 45 40
y 2 45 26
— 0 14
6 7 54 32
5 27 29
4 I 54
«2848 5
a 28 47 47
— 0 18
7 8 45 37
5 28 25
4 13 32
TTii 2j 27
In 25 20
— 0 7
8 9 36 43
5 29 21
4 24 55
123 51 22
I23 51 33
-4-0 II
16 15 33 40
6 6 46
7 23 50
« 2 14 55
t^ 2 10 52
—4 3
19 17 52 20
6 9 33
9 0 39
THii 44 0
TTui 41 9
—2 51
20 18 46 34
6 10 29
9 13 47
Tfl25 41 38
TTI25 37 30
-4 8
22 20 47 16
6 12 -Ll
10 1 1 22
/25 2 16
/24 58 4
—4 12
7^;/.
29 2 28 24
6 17 56
I 7 27
H28 21 44
K28 2445
-]-3 I
Feh
I 4 58 II
6 20 43
2 17 7
y II 2 5
0 II 2 19
+0 14
2 5 49 14
6 21 39
2 29 32
^24 17 28
^24 16 55
—0 33
3 6 40 50
6 22 34
3 II 36
H 7 9 56
IT 7 8 45
— I II
4 7 32 20
6 23 30
3 23 21
119 44 6
119 42 49
—I 17
5 8 22 55
6 24 25
4 4 50
S 2 4 52
S 2 4 4
-0 48
6 9 II 55
6 25 20
4 15 58
S14 17 46
S14 17 6
— 0 40
7 9 58 52
6 26 16
4 27 12
S26 27 24
S26 26 16
—I 8
8 10 43 43
6 27 II
5 827
SI 8 37 18
a 8 35 12
—2 6
9 II 26 45
6 28 6
5 19 13
S\20 50 26
a2o 47 24
;— 3 2
12 13 33 15
7 0 51
6 22 47
Tf^sS 15 27
TTg28 10 10
^—5 17
' i ' 6 0
7 I 4^
7 4 24
'^11 4 10
^10 59 o> j 10
LUK^ ME(^I'DIAKJE L 0 N G I TWD I N E S
GRENOVICl OBSERFAT^.
CUM COMPUTO NOSTRO COLLATjE,
Anno Julia NO MDCCXXXI. Currente.
Tranfitm LimU
Argument.
Tyiflantia
Longitudo
Longitudo
£rr(3r
Ltma T. aq.
Annuum.
€^©
Centri Luna.
Ohfervata.
Centri Lima
Corn-put.
Comp.
M. . P. H. / //
S. 0 . /
^. 0 /
0 f /1
or//
/ //
Mart.. 2 4.31 55
7 16 28
2 8 46
5 I 53 56
5 I 55 4
-f-i 8
3 5 24 4^
7 17 22
2 20 55
1114 52 31
J14 51 38
— 0 53
5 7 6 34
7 19 12
3 14 35
S 9 50 41
S 9 49 42
—0 ^^9
6 7 54 22
7 20 7
3 25 47
S22 2 57
S22 I 54
~i 3
7 8 39 57
721 I
4 7 3
^ 4 12 20
R 4 II 26
—0 54
9 10 5 47
7 22 50
4 29 28
SI28 40 45
^28 38 55
—I 49
10 10 47 20
7 23 44
5 10 43
n?ii 8 15
Treii 5 14
—3 I
13 12 58 44
7 26 27
5 15 32
^19 50 28
-19 44 43
— 5 45
14 13 46 21
7 27 21
5 27 39
Tfl 3 12 25
TJ 3 7 I
—5 24
16 15 31 5S
7 29 10
7 22 55
/ 0 39 35
/ 0 34 31
—5 4
: : 19 18 27 28
8 1 54
9 3 25
^13 30 28
'V?T3 23 45
— 5 42
22 21 12 \9
8 4 37
10 15 33
^28 2 23
i^27 57 10
—5 13
29 2 ip 22
8 10 1
I 5 50
«25 41 34
«25 41 39
+0 5
30 3 13 24
8 10 56
I 18 12
M. 9 5 29
5 9 5 52
— .0 37
Mart.-^i 4 6 46
8 11 50
2 0 19
1122 7 10
122 5 27
— 0 43
y^/T/. 2 5 48 40
8 13 37
2 23 49
S17 9 43
S17 10 31
-ho 48
5 8 I 13
8 16 18
3 28 6
^,23 47 55
0,23 45 53
— ^ 3
6 8 42 50
8 17 12
4 9 31
IT{> 5 8 48
n,^ 5 7 22
—I 26
9 10 51 2
8 19 52
5 14 36
".14 38 55
fti4 16 24
—2 31
Cent. 10 II 39 16
8 lo 46
5 25 45
^28 540
ft28 3 2
~3 38
, 12 13 25 40
8 22 33
6 22 2
^25 55 8
T?l25 50 54
—4 14
14 15 22 58
8 24 21
7 18 35
/24 35 28
/24 32 28
—3 0
: : 16 17 20 10
8 25 8
8 i5 6
'\'?23 44 31
ii:i5 23 12
^'23 40 39
—3 5i
—I 40
Jfri. 27 I 55 22
9 5 2
0 28 26
Il'i5 21 32
Maii. 4 7 18 39
9 II 13
3 19 28
ni'13 2. 23
ni!i3 21 12
— I II
5 8 0 10
9 li 5
4 I 10
^-^2 5 57 19
ni!25 56 31
— 0 48
6 8 43 14
9 12 59
4 13 5
ft 8 51 17
ft 8 50 li
—I 5
7 9 28 55
9 13 52
4 25 16
ft22 7 51
ft22 5 51
— I 40
;: 8 10 18 12
9 14 45
5 7 46
^ 5 47 37
^ 5 45 42
— 1 55
9 II II 42
9 15 38
5 20 37
WI19 51 50
Tn.19 50 37
—I 13
12 14 13 40
9 18 18
7 I 4
V? 3 53 54
\^ 3 53 10
— 0 44
13 15 13 37
9 19 II
7 15 2
V?i8 51 13
^/?i8 50 56
. 0 17
14 16 10 41
9 20 4
7 29 5
^ 3 48 I
^3 4^ 55t — I 6
17 18 43 58 9 22 42]
9 10 52
K17 54 54
>(i7 51 35—3 19
LUN^ ME^IVIAKM L 0 K G ITWD IK E S
GRENOVICIO'BSERVArjE
CUM CO MPUTO NOSTRO COLLATM,
Anno JuLiANo MD CCXXXI. Currente.
Tranjitus Litnhi
M.
H.
D.
r
//
Mali.
19
20
20
37
20
21
10
17
21
22
I
34
10
15
30 4J3
y^z^/V. I 5,54 43
8 6 44
8 59 40
9 53
10 55 18
Cd-^^^^o 8 II ,56 2i|io II
14 17 29 58110 16 26
Argument.
Annuum.
s.
0
/
s.
0
•
9
24
28
10
7 42
9
25
21
10
20
41
9
26
14
1 1
3
20
10 5
10 7
10 8
10 9
10 10
%6
2 30 16
'^unli. 27
3 II 21
>//i. 2
6 /^6 i^
3
7 38 15
4
8 34 49
5
9 3) H
6
10 37 42
9
13 3^ 41
II
15 23 41
: : 12
i5 13 52
10 26
10 25 56
Difiantia
€ ^0
Longitiido
Centri Luna
Ohfervata.
2 6 40
2 18 5
2 29 38
4 5 4^
4 18 31
5 I 37
5 15 9
5 28 59
8 23 53
T16 30 20
b o 29 47
«14 15 51
R25 7 4
ni^ 8 19 32
TT^io 40 5
i£ii29 24 14
nii3 8 28
TI127 20 25
/i2- o 44
/27 2 49
K27 5^ 15
Longitudo
Centri Lun/n
Comfut.
T16 26 48
^ o 27
c5 14 14 14
Error
Comp.
/t
1 1«
2 II
3 4
6\2(5 5 21
ITE 8 18 56
ni?2o 39 50
ft29 22 24
TTI13 6 55
Tn27 18 4
/11 59 27
/27 I 40
H27 55 o
•3 32
-2 46
-I 37
14 17 54 44
15 18 46 28
17 20 31 44
18 21 i
3 40
Cent.-Mj
JuUi.iS
Cent.-.-.so
Atig.:'. 2
4
3 57
4 50
7 29
9 15
10 8
II II 53
II 12 46
II 14 32
II 15 24
3 13 10
3 54 59
5 30 18
8 18 51
10 20 21
6 12 14 42
8 14 3 13
9 14 55 12
II 22 25
II 23 18
II 25 4
II 27 44
II 29 ^o
o I
o 3 4
o 3 57
I 6 24
r 17 34
3 16 24
3 29 12
4 12 27
4 26 7
5f 10 10
6 23 34
7 22 17
8 6 15
9 3 7
9 15 57
10 10 28
10 22 13
^21 39 o R21 36 35
W 3 48 37 ^ 3 46 33
^ 6 54 5 TIl 6 52 55
TII20 32 46 TIt20 31 28
/ 4 42 19 / 4 40 24
/19 22 44 /19 20 30
V? 4 31 21 V§ 4 29 I
XW21 28 4ip^2i 29 21
H22 21 I7IH2I 22 23
1
O
— o
— I
— X
— I
— I
— I
T 7 14 23
b 5 44 40
^ 19 22 27
iri5 35 32
ir28 17 38
1 21 33
2 3 9
2 27 26
4 7 5
5 5 30
<5 4 37
7 3 33
7 ^7 37
T 7 15 53
^ 5 44 2
^ 19 20 46
iri5 33 23
ir28 16 9
S^ 6 30 47
i^i9 4 16
nti4 59 38
/27 i 57
Y?27 27 jc
t^29 4 56
T o 28 45
T15 39 2
—2 24
—2 4
— I 10
— I 18
~i 55
—2 14
— 2 20
+0 40
•4-1 6
-4-1 30
— o 38
— i 41
—2 9
— I 29
ft 6 31 H
fti9 5 I
TII15 I 4
/27 o 13
V^'27 25 i
^29 I
27
T o 28 18
TI5 38 31
H-i 7
H-o 45
-f-i 26
— I 44
—2 49
—3 29
— o 27
— o 31
LUNJB ME(1^IDIAKjE LONGITUDINES
GRENOFICI OBSERVATM
CUM COMTUTO NOSTRO COLLJT.E. \
Anno
JuLiANO MDCCXXXI. Currente.
Tranjitus Limhi
Argument.
Diftantia
Longitudo
Longitudo
Error
LuuDt T. aq.
Annuum.
€^#
Centri Luna
Centri Luna.
Comp.
J. 0 /
Ohfervata.
Corn-put.
Q 1 II
M. D. H. / Z'
S. 0 f
Q / If
1 'I
Aug. lo 15 47 25
0 4 50
8 I 20
^ 0 19 36
^ 0 19 4
—0 32
11 i5 40 24
0 5 44
8 14 39
g,i4 30 49
«14 28 28
— 2 21
13 18 27 19
0 7 30
9 10 3
Jlii 24 56
UlI 22 0
— 2 56
25 2 38 33
0 17 17
I 14 44
«27 48 28
t^27 49 3
+ 0 35
27 4 16 19
0 19 3
2 8 58
^23 52 3
^23 53 9
-fl 6
28 y lo 15
0 19 57
2 21 39
/ 7 19 31
/ 7 20 5
4-0 34
^«^. 30 7 5 32
0 21 45
3 18 22
^ 5 28 5
W 5 28 42
+0 37
Sept. I 9 I 45»
0 23 33
4 16 29
Jw 5 20 53
Ji« 5 18 16
—2 37
2 9 58 51
0 24 27
5 0 54
^20 50 12
^27 47 45
—2 27
3 10 53 9
0 25 21
5 15 22
K 6 32 58
H d 30 7
—2 51
Cent. 4 " 4<S H
0 26 15
5 29 47
K22 18 I
H22 15 42
—2 19
Ctf/?^ 5 12 39 24
0 27 8
^ 14 3
T 7 54 47
T 7 52 46
— 2 I
7 14 28 Id
0 28 57
7 II 47
« 8 3 17
« 8 I 34
—I 43
8 15 23 22
0 29 51
7 25 7
^22 23 32
^22 21 13
—2 19
9 Id 18 32
I 0 45
8 8 2
31 7 II 34
ir d 8 22
-^3 12
10 17 12 52
I I 39
8 20 35
I19 30 27
iri9 2d 22
—4 5
II 18 5 20
I 2 33
9 2 45
S 2 23 32
S 2 19 53
~3 39
12 18 55 18
I 3 27
9 14 35
S14 57 35
S14 54 18
— 3 17
14 20 27 8
I 5 15
10 7 28
^ 9 30 1
a 9 28 33
—I 28
17 22 31 51
26 4 58 34
I 7 57
II 10 yo
11^16 6 $0
Wt-6 7 26
-1-0 3d
1 15 II
2 16 36
"V? 0 40 30
V? 0 44 57
+ 4 27
29 7 45 58
I 17 55
3 27 49
««14 10 28
ivv5l4 10 24
— 0 4
5f£^ 30 8 38 57
O^i'. I 9 31 0
I 18 50
4 II 57
iW29 Id 33
i^29 14 58
— I 35
I 19 45
4 26 8
K14 34 32
M14 32 42
— I 50
2 10 23 4
I 20 39
5 10 17
K29 59 13
H29 5^ 38
—2 35
3 II 15 50
I 21 34
5 24 17
T15 20 p
Tiy 17 23
—2 45
5 13 7 48
I 23 24
6 21 35
y ly Id 47
e5i5 14 53
— I 54
6 14 4 20
I 24 19
7 4 46
»29 39 3
C29 35 49
-3 14
8 15 55 19
I 25 9
804
IT^d 54 50
ir2d 50 40
— 4 10
9 i^ 47 27
I 27 4
8 12 13
S 9 52 38
S 9 48 Id
— 4 22
10 17 36 32
I 27 59
8 24. 9
S22 30 II
S22 25 39
— 4 32
n 18 22 34
I 28 53
9 5 41
R 4 52 20
a 4 47 57
—4 23
14 20 28 40
2 I 37
lo 9 41
TH^ii 29 10
TT(;ii 27 12'
—I 58
15 21 9 33
2 2 32
10 20 58
W^S 49 2d
111)23 48 14
— I 12
€ n
LUKM ME^IDIAKjB LONGITUDIKES
GRENOriCI OmSERVATM
CUM COMTUTO NOSTRO COLLJTjE.
Anno JuLiANo MD CCXXXI. Currente.
Tranfitus Limhi
Argument.
T>}flantia
Longitudo
Longitudo
Error
Lunm T. xq.
Anmmni.
€^@)
Centri Luna
Centri Luna
Comf.
Ohfervata.
Comput.
«^ 1 II
/ II
U. D. H. / //
S. a /
2 8 2
^. 0 /
I z 18
Q 1 II
080. 22 I 57 2
/12 32 17
/12 34 30
t-f-2 13
23 2 54 8
2 8 58
I 15 12
/26 28 44
/26 31 54
-1-3 10
24 3 51 18
2 9 53
I 28 25
■Wio 36 59
^510 40 12
-1-3 13
26 5 44 42
2 II 45
X 25 38
«« 9 24 3
^ 9 ^7 48
-^-■3 4y
27 6 32 53
2 12 40
3 9 27
51^*24 0 12
JW2-4 2 I
-M 49
Ce;st. 28 7 24' 33
2 13 35
3 23 23
H 8 45 I
H 8 47 30
-l-i 29
29 8 13 37
2 14 30
4 7 17
K23 38 51
H23 38 20
— 0 31
30 9 4 17
2 15 26
4 21 6
T 8 33 31
T 8 32 49
— 0 42
O&o. 3^ 9 56 23
2 16 21
5 4 45
T23 25 45
T23, 24 52
— 0 53
Nov, I 10 50 23
2 17 16
5 18 II
^ 8 9 29
^ 8 8 27
— I 2
CeM, 2 II 47 20
2 18 12
6 I 21
^22 3^ 50
«22 37 53
— 0 57
4 13 41 32
X 20 4
6 26 47
IC20 35 30
120 33 &
— 2 22
5 14 35 52
2 21 0
792
G 3 58 4
©3 54 44
,—3 %o
7 16 15 16
a 22 51
8 2 46
Si9 37 24
S29 32 56
— 4 28
II 19 4 31
X 26 32
9 18 31
rr(>i8 41 57
ITP18 39 39
—2 18
23 4 30 ^
3 6 46
2 7 14
5^19 37 57
^19 40 10
+2 13
25 6 10 24
3 8 38
3 4 57
M19 0 19
K19 I 7
+0 48
A^<>t'. 2p 9 35 5 2
3 12 22
4 2§ 42
^ 1 6 43 0
a 16 42 29
— 0 31
Cfz?f, 2 12 22 41
3 15 10
6 6 14
127 -^9 55
JC27 58 27
—I 28
Dec, 4 14 6 35
3 17 2
6 29 53
S24 4 51
S24 2 11
— 2 40
5 14 53 17
3 17 58
7 II 24
R 6 42 25
a 6 39 21
—3 4
6 15 37 10
3 18 54
7 Z2 47
a 19 6 53
SI 19 3 59
—2 54
-; 16 19 I
3. 19 50
8 4 5
llg I 22 58
TT^ I 20 2
—2 56
8 16 59 40
3. 20-45
8 15 23
ni^i3 35 I
nt!i3 32 17
—2 44
9 17 40 9
3, 21 41
8 26 45
1^)2 5 48 10
n^5 46 3-
—2 7
33 20 40 33
3 25 24
10 14 3
Trii6 44 47
Til 16 43 14
i^29 18 43
—I 33
21 316 6
4 I 58
I 18 13
^29 17 30
-hi 13
24 5 47 23
4 4 46
2 29 58
T13 47 38
T13 47 9
—0 29
25 6 38 15
4 5 42
3 13 29
T28 7 39
T28 6 44,
— 0 55
26 7 30 30
4 6 38
3 26 42
c5 12 12 21
y 12 10 56
—I 25
27 8' 24 16
4 7 34
4 9 35
'626 I 58
^26 Q 22
—I 36
29 10 13 21
4 9 27
5 4 22
3r22 57 7
Ir22 55 59
—I 8
Cf;^^ 31 11 58 13
4 II 19
5 27 55 S18 57 43
S18 5*5 35-
— 1 8
LUN^ ME(IIT>IJN^ L0NGITUT>IKES\
GRENOVICl OBSERFATM
^UM COMPUTO NOSTRO C 0 L L J T jE.
Anno JuLiANO MDCC XXXII. Currente.
Tranftt
h Limli
Argument. \ Tiiflantio
Lo7tgiUido
Longitudo
Error
Luna T. tzq.
Annuum.
€ am
Centri Lunoi
Centri Lrma
Comf.
S. a /
Ohfervata.
Comfut.
M. D.
H. ' "
S. 0 /
0 / /,
Of n
f //
'^an. :; 4
14 56 0
4 15 2
7 12- 51
nr8~4~8
W 8 43 31
— 1 46
8
15 36 21
4 15 58
7 23 59
ITl'20 55 50
Tli)2o 5 5 28
— 0 22
17 4^ 45
4 18 44
8 28 16
«27 56 38
t2527 56 15
— 0 23
9
18 ap 40
4 iP 4P
9 10 13
fn.10 41 13
Tr[io 41 37
— 0 36
10
19 20 13
4. 20 36
9 22 30
^2J 49 42
ni23 48 42
— I 0
II
20 14, 31
4 21 32
10 5 II
/ 7 23 16
T 1 2^ 26
— 0 50
12
21 12 6
4 22 28
10 18 16
/21 27 25
1 11 26 30
— 0 55
: : 20
3 41 48
4 29 0
I 26 49
:^ ^3^ I
T 8 33 21
-l-i 20
Cent.wiY
4 34 58
4 29 56
2 10 45
T23 22 6
r23 24 28
+ 2 22
22
5 26 49
5 0 52
2 24 21
0 7 50 28
« 7 49 10
— 1 18
:: 24
7 15 4
5 2 44
3 20 27
J 5 31 43
ir 5 28 26
—3 17
27
9 52 59
5 5 31
4 26 47
S14 40 15
S14 38 29
— I 45
28
10 41 15
5 6 27
5 8 15
S27 17 0
©27 15 36
— I 24
7^». 31
12 54 5
5 9 13
6 II 33
M 4 24 56
Tr|j 4 21 16
—3 20
Ff^. 2
14 15 17
5 II 3
7 3 28
Trj^2 8 49 49
TT|)2 8 45 10
—3 39
3
14 56 25
5 II 58
7 14 35
ftii 2 47
^\l 015
—2 32
:: 6
17 II 57
5 14 44
8 19 17
TTI18 30 41
TFIiS 30 0
— 0 41
7
18 3 10
5 I) 39
9 I 32
/ I 31 38
/ I 30 44
— 0 54
8
18 57 26
5 i^ 35
9 14 12
/14 55 48
/H 55 17
— 0 31
17
2 22 36
5 23 58
I 6 47
T16 43 0
T16 44 54
-4-1 54
19
4 12 57
5 25 49
2 4 40
«16 38 33
«16 37 48
— 0 45
21
6 4 22
5 27 S9
3 0 59
irx4 32 10
1x4 29 3
—3 7
22
6 58 21
5 28 35
3 13" 31
127 48 15
I27 44 44
—3 31
24
8 38 58
5 0 24
4 7 24
^23 21 38
G23 18 39
—2 5,9
25
9 25 10
6 I ip
4 18 51
R 5 48 24
^ 5 45 52
—2 3x
26
10 10 5
6 2 14
5 0 5
ai8 8 50
ai8 5 40
—3 10
Ff^. 28
II 31 54
6 4 3
5 22 3
n?i2 34 53
mil 31 30
—3 3
C^a^ 29
12 13 30
6 4 57
6 2 57
rr^24 47 30 m^^ 44 8{
—3 22
M^r^. 2
13 37 52
6 6 45
6 24 59
fti9 21 10
"^19 17 12
-3 58
3
14 22 7
6 7 41
7 6 14
TT[ I 46 28
TTi 1 41 49
—4 39
6
16 50 15
6 10 25
8 11 46
/30 5 1?
/10 2 4
—3 9
9
19 35 52
6 13 9
9 20 50
'V?2I 22 18
W21 18 22
—3 56
10
20 31 11
6 14 4
10 4 40
^ 6 3 41
^ ^) ^9 3
-4 38
II
21 25 42
6 14 5.8
10 18 48
iW2I 12 55
)XC^2\ 8 20
—4 35 i
LUNjE ME<^1VIAKjE LOKGITUDIKES
GRE NOriCI O'BSERVATjE
CUM COMPUTO NOSTRO COLLATM,
[Anno JuLiANO MD CCXXXII. Currente.
Tranjitus Limhi
Argument.
Diflantia
Longitudo
Longitudo
Error
Luna T. aq.
Annuum.
€^0
Centri Luna
Ohfervata.
Centri Luna
Comput.
Comp,
M. H. D. / //
S. 0 f
J. 0 •
0 y //
9 / //
4 //
Mart. 20 4 4P 59
6 22 15
a II 7
122 42 10
1[22 40 35
—I 35
22 6 34 45
6 24 3
3 5 57
S19 I 48
S18 58 Jd
—2 52
23 7 22 14
6 24 57
3 i7 48
a I 38 39
a I 3d 37
—2 a
24 8 7 I
6 25 51
3 29 21
3.14 3 33
SL14 X ao
— z 13
35 8 49 33
6 2d 45
4 10 40
Slad 19 10
aad 17 23
—I 47
-26 p 30 44
6 27 39
4 21 49
nt! 8 31 3
ny 8 29 24
—I 39
27 10 II 22
6 28 32
5 a 52
Ta!2o 42 3^
1TS20 41 I
—I 31
MarLiS 10 52 16
6 29 2(5
5 13 52
^ 2 5d 37
1^ 2 55 7
—I 30
Cent.::z9 11 35 18
7 0 20
5 24 57
^i^ Id 28
^15 14 44
—I 44
Jpr2.:;2 14 46 48
7 3 55
7 10 59
0 24 43
/ d 3 32
It I 42 4d
/ 5 58 52
—4 40
: : 15 I 36 42
7 14 41
It I 42 2d
— 0 20
Cent.:: I J 3 33 14
7 16 28
I 21 7
S 0 9 Id
S 0 9 II
— 0 5
19 5 15 53
7 18 15
2 16 0
Sad 40 39
S2d 39 4d
— 0 53
13 8 8 54
7 21 47
4 2 20
IQ^id 18 21
ngid 18 15
— 0 d
25 p 31 15
7 23 33
4 24 47
^\o 49 I
ftio 49 2
-i-o I
27 II 0 p
7 25 19
5 17 29
TIL 5 51 30
TH. 5 50 9
— I 21
: JprL 29 12 40 59
7 27 6
d 10 56
/. ' 43 54
/ I 40 28
-3 2d
M<«/V. 7 19 43 4S
8 4 II
9 26 19
K24 28 2
H24 20 3
—7 59
8 20 35 Id
8 5 4
10 10 24
T 9 29 35
T 9 21 35
—8 0
r: 9 21 28 39
8 5 57
10 24 27
T24 33 55
T24 27 59
-5 56
14 I 17 9
8 9 30
0 18 42
I23 28 48
I[23 2d 48
— 2 0
16 3 5 49
8 II 16
I 13 58
S20 51 6
S20 50 8
—0 58
17 3 54 48
8 12 9
I 2d 7
a 3 5<5 Id
a 3 55 28
—0 48
19 5 23 31
8 13 54
2 19 41
^29 10 15
a29 10 26
-fO II
20 6 5 c
8 14 46
3 I II
lT(;ii 29 37
njii 29 43
-j-o d
25 9 41 12
8 19 5
4 28 38
TII13 32 46
^13 32 54
+ 0 8
27 II 24 5 y
8 20 %i
5 22 42
/ 9 53 IC
/ 9 51 5-1
— I Id
JWai/. 31 15 8 f
8 24 2<
7 14 17
«« d 0 35
«« 5 57 IC
—3 29
jT^»;';. 1 1(5 0 ic
8 25 i<
? 7 27 51
Jw!2o 32 £
«^20 28 31 —3 37
2 16 50 4/
} 8 26 I
I 8 n 37
X 5 9 42
K 5 6 4 -3 38
3 17 40 4
3 8 27
\ 8 25 51
H19 51 5c
> K19 47 35 —4 15
:: 6 20 15 4
1 8 29 4
2 10 7 I]
«411
[ « 3 55 54— 5 17
15 3 174
2 9 6 44I I 18 23
^23 54 3'
5 a23 54 3?
5 -fo d
19 6 4
2 9 10 I
3I 3 41.
t|fti3 14 ^
Iiili3 14 I
[ -ho 10
LUKJB ^iE%_IV I AH^ LOKGITUDINES
G RE NOV TCI OBSERVAT^
CUM COMTUTO NOSTRO COLLATE,
i^nno JuLi ANo MDCCXXXII. Currente.
Tranfttus Lhiili
Argument.
^Diftantia
Longitudo
Longitudo
Error
Luna T. a^.
Annuum.
€ A%
Ce}i.triLuna
Centri Lunx
Comp
Ohfervata.
Compit.
M. D, H. / //
S. 0 f
9 II 58
S. 0 1
Q f II
0 / n
1 II
JumLzi 7 3^ 44
3 27 28
m 8 3 36
Tfl 8 5 8
^i 32
22 8 21 22
9 12 50
4 9 26
IJ20 50 35
fTl20 52 6
+ 1 31
23 9 13 15
9 13 43
4 21 32
/ 3 58 20
/ 3 59 18
+ 0 58
24 10 7 57
9 14 3<5
5 4 0
/17 29 31
/17 29 41
+ 0 10
25 II 4 22
9 15 29
5 16 47
"V? I 24 13
N'? I 24 10
— 0 3
Jumi.29 14 46 18
9 19 0
7 10 49
K 0 11 ip
K 0 9 33
—I 46
jfa//7. 2 17 19 38
9 21 38
8 22 51
T14 57 41
T14 54 I
—3 40
6 20 58 32
9 25 9
10 id 58
IC12 18 24
iri2 13 55
—4 29
14 2 37 31
10 I 18
I 10 37
W\3 50 26
^13 50 31
-fo 5
:: 15 3 18 32
10 2 10
I 21 53
W26 7 28
ni!26 8 20
+0 52
:: 17 4 41 54
10 3 55
2 14 32
«20 32 35
«20 35 3
+ 2 28
20 7 I 59
10 6 33
3 19 47
TII28 4 48
ni28 6 53
H-2 5
23 9 46 0
10 9 12
4 27 44
^ 8 49 I
^ 8 47 36
—I 25
24 10 42 43
10 10 5
5 II 9
"^^§23 20 20
■^23 19 23
— 0 57
25 II 38 39
10 10 58
5 24 52
v^ 8 17 45
^ 8 14 44
—3 I
28 14 21 35
10 13 38
7 7 18
K24 27 48
H24 26 26
— I 22
30 16 7 46
10 15 24
8 5 44
T24 52 Id
T24 50 I
^ 9 34 50
— 2 15
y^////. 31 17 2 20
10 16 17
8 19 42
y 9 37 46
—2 =^6
Aug. I 17 58 4
10 17 10
9 3 24
^24 2 38
(5 2 3 58 55
—3 43
2 18 54 18
10 18 4
9 16 45
IT 8 6 56
ir 8 2 53
—4 3
3 19 50 5
10 18 57
9 29 44
1121 52 10
1121 48 14
—3 56
5 21 35 57
18 6 37 1
10 20 43
10 24 34
S18 31 36
S18 30 4
—I 32
-l-i 38
II I 20
3 12 27
/18 41 24
/1843 2
19 7 31 27
II 2 14
5 25 9
\^ 2 10 33
V? 2 10 22
— 0 1 1
20 8 26 46
II 3 8
4 8 15
A'? 16 9 7
^16 7 23
~i 44
22 10 17 II
II 4 55
I I ^7
iwij 41 46
tJ^i5 37 49
—3 57
25 13 2 6
II 7 36
6 18 41
T 2 43 17
T 2 39 59
—3 18
26 13 57 7
II 8 30
7 3 11
T18 25 45
T18 22 57
—2 48
27 14 53 17
28 15 50 34
II 9 24
7 17 32
^ 3 50 55
« 3 48 37
—2 18
II 10 iS
8 I 40
^ 18 52 41
c5i8 49 55
—2 46
Aug, 29 16 48 15
II 11 12
8 15 27
IT 3 27 0
IT 3 23 37
:> 2 3
Sep. I 19 33 4
II 13 53
9 24 22
S14 32 17
2B14 29 25
— 2 52
2 20 22 35
II 14 47
10 6 30
S27 31 54
^27 30 13'
—I 41
4 21 53 21
II 16 34
10 29 45.
a22 50 7
^22 51 23
^-I 16
1 o
LUN^ UE(^IVIANjE lokgitudikes I
GRENOVICI OBSERVATM
CUM COMPUTO NOSTRO COLLATM. j
Tranfitu
Anno JuLiANo MD CCXXXII. Currente.
j- Limli
Argument. Dtfiantia
Longitudo
Longitudo
Error
Liina T. ^<7.
Annumn.
€^0
Centri Luna
Centri Luna
Comp.
S. 0 /
II 25 33
i. 0 »
Ohfervata.
Comput.
M. H.
D. / //
0 / //
/25 47 14
0 / //
j //
Sept. 15
5 22 4
2 22 57
/26 50 53
+ 3 39
x6
6 15 17
II 26 27
3 5 34
T?lo 9 0
■Y?io 10 47
+ 1 47
18
8 2 10
II 28 16
4 2 3
«« 8 18 16
i^ 8 16 24
-i 52
IP
8 55 22
II 29 10
4 15 53
iw2 3 10 24
^23 6 15
—4 9
21
10 42 25
0 0 5P
5 14 28
K14 14 18
K14 8 10
—6 8
22
II 37 28
0 I 54
5 2p 2
Tio 8 41
Tio 3 5
—5 36
24
13 32 58
0 3 43
6 28 4
»11 43 38
«II 59 43
—3 55
25
14 35 6
0 4 38
7 12 ip
^27 4 0
« 2(5 59 46
—4 14
28
17 27 31
0 7 22
8 22 42
G 9 56 45
S 9 52 27
—4 18
29
18 18 57
0 8 17
9 5 16
S23 16 II
S23 12 10
—4 I
Sept. 30
19 6 57
0 p 12
P 17 26
a 6 13 9
a 6 p 54
—3 15
0(^^. 1
IP 51 56
0 10 6
9 29 14
ai8 51 41
RiS 50 31
— I 10
3
21 16 15
0 II 55
10 21 58
Tn:i3 36 35
Trei3 38 10
-fi 35
H
5 I 59
0 21 2
2 16 19
V?i8 57 45
v^'19 0 46
-4-3 I
15
5 43 4°
0 2t 57
2 29 14
;j^2 41 I
^ 2 42 25
-+-I 24
17
7 35 52
0 23 47
3 26 14
K I 24 5
H I 21 38
—2. 27
j8
8 27 22
0 24 42
4 10 15
K16 25 8
Ki(5 21 17
—3 ^i
ip
9 20 13
0 25 38
4 24 30
T I 49 43
T I 44 18
—5 25
410
10 15 7
0 26 33
5 8 55
T17 29 18
T17 23 47
—5 31
21
II 12 35
0 27 28
5 23 23
« 3 M 4^
0 3 9 45
—5 1
24
14 Id 51
I 0 15
7 5 4^
jffip 19 10
ITip I) 28
—3 42
25
15 15 13
I III
7 19 13
S 3 47 45
S 3 44 6
—3 39
29
18 52 2
I 4 52
9 8 57
a 26 55 10
SI26 52 26
—2 44
OHo. 30
iVw. 10
IP 14 17
2 58 55
I 5 47
9 20 32
nP 9 2 1 55
nj) 9 19 36
—2 19
-l-o 38
I 15 2
I 14 47
-Y?i4 54 17
V?i4 54 55
13
5 30 32
I 17 49
2 23 2«
5:^26 18 6
^26 19 16
-rl 10
15
7 10 10
I ip 40
3 20 51
H25 23 36
H25 25 26
-4-1 50
19
10 53 4
I 23 24
5 17 18
«26 13 28
f5 26 II 15
—2 13
Cfz?f. 20
II 55 21
I 24 20
6 I 13
ITi I 25 10
-Tl'ii 22 55
— 2 15
• 22
13 54 50
I 26 13
6 28 7
Sio 48 15
Sio 45 10
—3 5
23
14 4« 56
I 27 9
7 II 0
€?24 50 14
S24 49 46
0 28
24
15 39 3
I 28 5
7 23 32
a 8 24 40 SL 8 22 54
— I 46
25
16 25 37
I 2p 0 8 5 43
R2I 33 19 ^21 31 5
—2 14
27
17 51 36
2 0 52! 8 2p 15
Tn^id 49 46 Tri)i<5 48 2
— I 44
LUKjE MEIlIDUKyE LONGITUDINES
G RENOFICI O'BSERTJTyE
CUM COMTUTO NOSTRO COLLAT.E.
Anno JuLiANO MD CCXXXII. Currente.
Tranfitus Limhi
y^)'^»Wf«if
T)iflantia
Longitudo
Longitudo
Error
Liin£ T. -e^.
Aftmmm.
€ ^@
CeJitri Luna
Oljervata.
Centri Lunai
Comfut.
Q 1 II
Comp.
M. D. H. / //
S. 0 /
^. 0
0 / f
f n
Nov. 28 18 33 I
2 I 47
9 10 42
m29 8 14
W29 6 30
—I 44
29 IP 14 37
2 a 43
9 22 2
fi^ii 20 16
ftli 19 15
— I I
Nov. 30 ig 57 18
2 3 39
10 3 19
t^23 31 58
^2S 31 28
—0 30
Dec. 9 2 38 5
2 II 6
I 8 21
iw; 7 56 30
J^ 7 55 31
— 0 59
10 3 28 27
2 12 2
I 21 23
vw22 3 30
!:vi^22 3 23
— 0 7
11 4 17 56
2 12 58
2 4 42
H 6 21 34
H 6 21 23
— 0 II
13 5 57 15
2 14 50
3 2 1
T 5 24 9
T 5 22 31
-I 38
17 9 38 18
2 18 35 4 27 37
JT 4 31 1
IT 4 27 50
—3 II
22 14 16 9
2 23 17 7 2 5
R15 24 29
^15 23 45
—0 44
29 19 20 53
2 29 47 9 23 7 Tlii2 57 30
FT[i2 56 44 J — 0 46
Anno
JuLiANo MDCC XXXIII. Currente.
7^;/. 8 3 4 13
3 8 II
I 15 51
H16 10 17
Ki(5 10 4
— 0 13
9 3 54 48
3 9 7
I 29 36
I ° 57 6
T 0 56 52
— 0 14
10 4 46 13
3 10 3
2 13 28
T15 42 31
T15 41 4°
— 0 51
II 5 3P 9
3 10 5c
2 27 22
c5 0 23 23
>S 0^2 6
—I 17
12 6 34 2
3 II 55
3 1 1 12
^14 59 0
«14 57 0
— 2 0
14 8 28 24
3 13 47
4 8 23
iri3 49 34
iri5 47 8
— 2 26
15 9 25 50
3 14 4-^
4 21 37
128 2 16
HzS 027
1 49
16 10 23 55
3 15 39
5 4 3i
S12 4 38
S12 4 23
— 0 15
Jan. 17 Ti 14 46
3 16 35
5 17 5
^25 52 42
S25 52 41
— 0 I
Feb. 5 1 48 20
4v 3 15
0 26 33
H25 5 30
H25 5 41
H-o 11
9 5 25 32
4'<, 57
2 22 45
«25 847
t<25 7 0
— I 47
10 6 24 0
4 7 53
3 6 27
^ 9 33 42
H" 9 31 13
—2 29
IX 7 20 58
4 8 48
3 19 50
^23 40 47
ir23 39 23
— I 24
12 8 16 31
4 9 44
4 1 55
3 7 55 18
S 7 32 32
— 2 46
13 9 9 3c
4 10 39
4 15 33
S21 13 7
S21 II 34
—I 33
14 9 59 40
4 II 34
4 27 52
a 4 37 46
a 4 36 56
-— 0 50
F? /•..:: 28 20 57 10
4 24 22
TO II 33
^ 2 43 8
:^ 2 41 24
-I 44
Mart. 10 5 15 26
5 i 36
2 17 52
TTi9 10 53
3ri9 9 33
—I 0
14 8 45 3
•
5 6 14
4 9 9
SI13 44 21
ai3 43 14
—I 7
LUN^ ME^I^IVIAK^ LOKGlTUVlKES
GRENOFIC I OBSERVATJ^.
CUM COMPJJTO NOSTRO C 0 L L A T Jl.
Anno JuLiANO MD CCXXXIII. Cuirente,
Tranfttws Limhi \Argument. T:)iflanth
Luna T. aq- ' " ^ ""
Mart. 15 9 30 22
17 10 56 18
Mart. 27 18 46 30
A^ri.
3 2 34
4 2 35
7 28
8 12 50
8 55 25
Aiimmm.
7 «
8 56
5 17 57
15 10 19 30
C^;^^ 17 II 47 54
22 15 51 20
23 16 41 12
25 18 19 41
26 T9 8 56
A^ri, 27 19 58 54
Mail. 5 2 45 35
6 3 42 30
13 9 o 33
15 10 29 44
Cf";??. id II 18
20 14 38 32
21 15 28 o
22 16 16 42
23 17 4 58
Maiu 27 20 27 53
5 26 3
5 26 57
6 o 32
1 25
2 19
4 5
5 52
10 18
11 12
12 58
13 51
14 44
Lovgitudo I Longitudo
Centri Luna Centri Lma
Ohfervata. Comfut.
S. 0 /
0 / /'
4 21 0
5 13 52
9 8 25
^26 39 4
ni!2i 53 30
^26 39 6
14 54
28 53
20 27
z 29
13 52
6 18
28 17
24 54
6 59
2 18
15 34
29 15
0 / //
/ //
a26 38 31
mi 53 4
T26 33 42
— 0 33
— 0 26
—5 24
Error
Comp.
6 20 5
62152
6 28 I
6 29 47
Jim:-
2 22
o 39
4 II
5 3
5 56
6 49
10 20
2ri2 57 ii
IC27 50 2
^»122 37 48
n? 5 24 15
nci7 56 48
^12 34 56
TTl 6 58 50
"V? 9 o 35
V?2i 58 34
J5«i8 55 5
K 3 o 57
K17 32 3
3 14 36
6 4 4S 33
P 6 57 26
13 10 o 30
l{^ 10 50 21
Cent. 15 II 42 16
20 15 21 29
15 38
16 31
18 16
20 53
24 23
25 15
2d 8
o 31
9 36
23 12
17 39
9 52
20 59
6 58
19 6
I 35
14 26
9 20
Sp 5 36 20
S20 II 33
«20 43 47
nii5 5 22
Tl]27 21
V?i7 57
I 7
14 32
vw-28 15
T26 26
iri2 58 51
ir27 51 25
^22
m? 5
37 59
24 46
"1^17 57 45
Ii^i2
TIl 6
35 40
56 42
^ 8 54 45
■V?2I 52 19
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LUNJS ME(IIIDIJN^ LONGITUDIHES
GRENOFICI OBSERVATjE
CUM COMPUTO NOSTRO C 0 L L J T ^, |
Anno JuLiANO MDCC XXXIII. Currente. 1
Tranfit&s Limit
Argtiment.
Tiiftantia
Longitndo
Longitiido
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Annuum.
€ ^@
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LUNJB ME^IIID IJN^ LONGITUD INES
GRENOVICI OB S ERVAT JR.
CUM C 0 MTUTO NO STRO CO LLATJL.
i^nnoJu^iANO MDCCXXXIII. Currente.
Tranfitus Limhi
Argument.
"Diftantta
Lofigitudo
Longitudo
Error
Luna T. ^f-
AmtMim.
€ ^m
CeJttri Lu?icc
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Comp
Ohfervata.
Comfut.
M. D. H. / //
S. 0 /
10 8 40
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4 10 18
J^ d 31 58
J^ d 28 21
—3 37
9 9 24 57
10 9 34
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7210
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912 I
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II 28 53
3 12 Id
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6 8 20 49
0 0 44
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I 4 12 35
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TH!i8 II 40
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T12 33 41
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LUK^ MEfJlIDIJN^ LONGITUVINES
GRENOVICI CBSERFJT^
CUM COMTUTO NOSTRO COLLJT.E. \
Anno J
u LIANG M D CCXXXITI. Currente. |
1
Tranfttiis Limhi
Argument.
Difiantla
Longitudo
Longitudo
Error
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€ ^®
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l
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9 25 j6
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Dec. 30
4 10 9
2 2 58
>^?3; 53 49
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Anno
JuLiANo MDCC XXXIV. Currente.
7^;^ I
5 48 48
I 21 4
2 29 30
T22 0 48
T22 I 30
4- 0 42
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— 0 39
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6 41 56
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LUN^ UE(^I'DIAKjB lokgitudin es
GRENOFICI O'BSERFJTyE
CUM COMPUTO NOSTRO C 0 L L J T ^.
Anno JuLiANO MD CCXXXI V. Currente.
Tfanfitm Limbi
Argument,
Diflantta
LongHudo
Longitudo
Error
Ltina T. a^.
Annumn.
€ ^#
Centri Luna
Centri Lumz
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9 f a
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4 12 47
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LUKJB ME(^IT)IAnj£ LOKGITWDIKES
G RE NOFIC I O'BSERVATM
CUM COMPUTO NOSTRO COLLATAL.
Anno JuLiANO MDCCXXXIV. Currente.
Tranfitus Limit
Argument
Difiantia Lo?igHudo
Longittido
Error
Luna T. ag[.
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€ ^ 0 Centri Luntz
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7 24 14
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LUN^ ME11IT>IJN^ LOKGirWDinES
GRENOFIC I OBSERFJTjF.
CUM COMPUTO NOSTRO COLLATOR.
Anno Julia NO MD CC XXXV. Currente.
Tranfttiis Linibi
Argument.
Tiiflantia
Longitudo
Lo7igitudo
Error
Luna T. aq.
An7nmm.
€ ^ ©
Centri LuHig.
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17 29 21
10 19 16
8 22 15
SII7 II 58
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20 42 49
10 22 59
10 13 54
fti2 17 6
ai2 14 38
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4 22 31
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27
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5 6 28
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Nov. 28
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18 13 15
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Dec. 7
19 27 55
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9 24 26
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« 0 44 7
+ 3 7-
Anno J u L I A N 0 MDCCXXX V. Currente.
Janu. 3
17 24 15
0 12 24
8 21 4i:t^i6 43 33
^16 37 8
—6 25
9
22 8 57
0 17 59
II I 40
-V? 2 8 I
^/<? 2 4 8
—3 53
15
I 54 51
0 22 37
0 27 I
K 3 54 '9
K 3 52 8
'2 II
17
3 23 20
0 24 28
I 20 21
K29 23 :6
K29 23 47
-1-0 31
: : 19
4 56 43
0 26 20
2 15 4
T2) 49 0
T25 49 56
-j 0 56
20
5 4<5 46
0 27 15
2 28 3
^ 9 29 10
6 9 ^2 14
+3 4
21
6 40 15
0 28 II
3 :i 25
^23 37 23
6^23 39 38
-1-2 15
22
7 37 0
0 29 7 3 25 i3|
If b 14 3
II 8 14 31
fo 28
: : 25
10 38 20
I 1555 8 8 '^24 26 5 l;
-j:4 27 47
-'--0 51
LUN^ ME(I(ID I AN^ LONG I TUD INES
GRENOVICI OBSERVATM
CUM COMPUrO NOSTRO COLLATE.
Anno J u L I A N 0 MDCCXXXV. Currente.
Tranjitm Limbi
Argument.
Dijiantia
Longitiido
Longitudo
Error.
Limce T. ceq.
Amuiim.
€ ^#
Cejitri Limce
Centri Liince
Comp.
Obfervata.
Comput.
M. , D. H. J U
S 0 J
5. 0 /
0 ? /y
0 i u
1 ij
Feb. 14 2 7 44
1 19 28
I I 13
T 8 24 54
T 8 23 17
— I 37
ao 7 25 16
I 24 59
3 20 12
S 2 32 II
G 2 31 3.:
— 0 35
Feb. 21 8 24 0
I 25 55
4 4 19
S17 35 42
S17 34 25
— I 17
Mar. 4 17 58 2.2
2 5 59
8 27 47
2 18 20
/23 I 40
127 59 31
/22 55 40
~6 0
19 5 20 2
2 18 41
IC27 59 33
;-0 2
21 7 14 24
2 20 30
3 i<5 13
S27 31 20
S27 30 0
1 20
Mjr. 24 9 55 56
2 23 13
4 27 39
Mi^ 55 35
niii 52 48
-2 47
u^'W, 7 21 12 0
3 5 46
10 16 26
H14 48 4
K14 45 57
—2 7
19 6 59 33
3 15 37
3 12 49
bl22 33 17
a22 32 18
—0 59
22 9 30 44
3 18 17
4 22 56
^ 5 21 50
ti^ij 5 20 46
-I 4
23 10 19 56
3 19 10
5 5 43
«19 13 34
ftl9 II 42
— I 52.
M^//. 3 18 20 43
3 28 I
9 2 46
^^26 41 58
^26 39 51
— 2 7
19 7 28 31
4 II 17
3 22 37
« I 5 28
ft I 4 28
1 0
Man. 20 8 16 58
4 12 10
4 5 32
5^1449 3 5
fti4 48 25
-^-I 10
>««. 5 20 52 33
4 26 1 1
10 14 56
^ 9 53 55
^ 9 50 52
—3 3
14 4 35 30
5 3 15
2 8 18
Wi^ 17 14
111^12 16 15
— 0 59
15 5 25 5<5
5 4 7
2 21 59
W26 40 8
ITi)2 6 41 2
-\-o 54
16 (5 15 10
5 5 0
3 5 17
^io 39 26
ftio 39 50
H-o 24
y«wf. 23 II 56 0
5 II 7
5 28 38
^'10 56 53
"Wio 5 5 ip
— I 43
y Zi;///. 12 318 0
5 26 56
I 20 6
ni)2o 49 42
rfL'2o 51 24
-t-i 42
15 5 49 0
5 29 34
3 0 u
Tfl 3 13 25
''I 3 13 10
-0 15
17 7 26 45
6 I 20
3 24 52
^29 23 13
^29 23 55
-4-0 42
Julii. 18 8 15 52
6 2 12
4 6 40
/12 3 56
/12 5 28
-4-1 32
^/.■^. 2 20 II 48
6 15 25
10 4 44
125 9 43
1125 2 38
—7 5
3 21 II 44
6 16 18
10 18 57
^io 24 53
Sio 17 43
—7 10
Jiig. 10 2 49 57
6 21 38
I 14 50
^13 21 54
ft]3 20 47
— i 7
Sept. 9 3 II 56
7 17 32
I 21 19
Tni8 54 6
TII18 52 16
— t 30
10 4 3 5
7 18 26
2 3 53
/ 2 21 40
/ 2 20 17
— I 23
12 5 42 57
7 20 14
2 28 2
/28 9 31
/28 8 56
— 0 35
13 6 31 9
7 21 8
3 9 4^-
Y?io 38 25
^^io 39 0
r!-° 35
17 9 32 30
7 24 44
4 25 I
^^29 46 5
-:^29 48 20
-^2 15
18 10 16 X2' 7 25 38
5 ^ 19
K 1 2 II 55
H12 13 30
-l-I 55
20 II 45 55 7 27 26
5 29 19
T 7 35 37 T 7 35 5il-ho 14 1
LUNJ ME(^IJ) IJNy£ LONG irWD IKES
G R E NOV rC I OBSERVATM
CUM COMPUTO NOSTRO COLLATE
Anno J u L I A N o MDCCXXXV. ;
T^ranfitus Limbi
Argument.
Dijiantia
Longitudo
Longitudo \ Error.
Lunce T. ceq.
Annuum.
€^©
Xlerttri LuJia
Okf'ervata.
Centri Lunce
Coniput.
j Comp.
M. H. D. / /J
S. 0 ,
So/
0 1 u
oil!
i n
Oaob. 8 2 42 45
8 12 55
I 13 18
T 9 3^ ^
/ 9 30 ^
— 2 0
12 % 58 56
^ 16 ^'S
3 0 26
:S^ 0 18 34
vw 0 19 .45
-fi II
15 8 10 58
8 19 19
4 4 38
H J 6 22i
H 7 8 2
-+-I 40
\6 8 54 15
8 20 14
4 16 ^
H19 35 IS
H19 36 35
+ x X7
18 10 24 18
8 22 /|
5 9 4^
T15 18 30
T15 18 15
—0 15
1 28 ip.24 57
9 I 18
9 22 15
ni) 8 28 22
ny 8 24 0
—4 22
OBob. 29 20 16 24
9 2 13
10 5 56
fTI)23 I 58
niJ22 57 3
—4 55
Nov. 10 5 21 10
9 12 23
2 20 25
5^19 40 49
««19 42 36
-f-l 47
II 6 440
9 13 19
3 I 4P
H I 53 50
H I 55 4
-fi 14
12 64742
9 14 14
3 13 18
H14 9 44
M14 II 46
+ 2 2
14 8 15 32
9 16 5
- 4 6 46
T 9 21 29
T 9 21 48
-I-o 19
1.7 10 42 40
9 i8 52
5 13 59
y 19 53 45 S 19 51 53
—1 52
'Nov. 28 20 44 5,
Dec. II 6 8 19
9 29 8
10 13 37
^l 0 55 50 ^1 0 51 21
—4 29
10 10 19
3 3 17
T 3 43 31 T 3 4^:30
+ 2 59
12 6 52 39
10 II 15
3 15 10
T16 22 23 T16 2f C
-f-2 37
13 7 3P 7
10 12 10
3 27 22
T29 23 47 T29 25 40
4-1 53
14 8 28 30
10 13 6
4 9 55
^12 53 21 ^ 12 54 4
-fo 43
15 9 21 18
10 14 3I 4 22 52
^26 55 5 ^26 54 18
—0 47
Anno J u L I A N 0 MDCCXXXVI. Currente.
Jan. % 2 39 50
II 2 44' I 8 7
>{ 4 41 24
K 4 41 0
— 0 24
: : II 7 8 2
II 8 18 3 18 33
^20 11 52
»20 13 54
-f2 2
13 8 57 9
II 10 10
4 14 58
iri8 34 42
iri8 33 24
—I 18
14 9 56 8
II II 7
4 28 48
4 8 7
S 3 36 21
s 3 34 33
Gii 8 0
— I 48
iv/5. II 83730
068
Sii 8 46
— 0 46
12 9 3<5 40
0 7 3
4 22 16
S26 2) 49
S26 23 35
—2 14
Mart, 5 2 59 27
0 26 17
I 14 12
5 II 223
^11 -o 23
2 0
8 5 3t 53
0 29 I
2 21 38
1121 10 41
¥21 9 40
1 I
10 7 23 20
I 0 51
3 18 36
S19 49 8
S19 46 48
—2 20
11 8 20 18
I I 45
4 2 37
a 4 44 20
a 4 41 II
—3 9
12 9 17 71
I 2 40
4 i^ 52
a 19 5^ 53
^19 56 5
—2 48
13 10 13 27,
I 3 35
5 I 16
iip 5 27 50
W 5 25 54
— I 56
15 12 0 0
I 5 24
600
fci^ 6 36 34
^ 6 36 12
— 0 22
LUN^ ME(IiIDI JN^ LONGI TUDINES |
G R E N 0 V IC I 0 B S E RV AT JE
CUM COMPUTO NOSTRO C0LLA7M.
Anno
J u L I A N 0 MDCCXXXVI. Currente.
Tra}}/itus Limbi
Argument.
Dijiantia
Longitudo
Longitudo
Error.
Lunce T. ceq.
Annuiun.
€ a%
Ce?itri Liince
Centri Lunce
Comp.
S. 0 /
Obfervata.
0 1 jj
Comput.
M. D.
H.' i JJ
S 0 /
0 j jj
1 u
Apri. 4
3 28 ip
I 22 30
I 20 35
Vij 0 16
I[i6 57 32
—2 44
5
4 22 30
I 23 24
2 3 33
^ 0 54 50
S 0 52 38
— 2 12
7
6 13 5
1 25 12
3 0 25
S29 31 50
S29 28 45
— 3 5
8
7 8 12
I 26 6
3 14 22
^l. 14 12 16
SI14 8 18
-3 58
lo
8 y6 41
I 27 53
4 12 35
rrjt)i4 6 57
1^14 2 50
-4 7
II
9 50 24
I 28 47
4 26 43
lI]/29 15 0 nL'29 II 10
—3 50
23
19 57 30
2 9 28
9 27 19
Kii 57 42
Kii 56 II
— I 31
24
20 40 10
2 10 21
10 8 40
K 24 10 42
H24 9 45
— 0 57
25
21 23 16
2 II 14
10 20 6
T 6 32 30
T 6 31 34
S25 10 15
— 0 56
Mail. 4
4 9 16
2 18 20
I 29 38
S25 10 52
— 0 37
7
6 52 25
2 20 59
3 II 12
M 9 2 50
W 9 I 58
— 0 52
9
8 35 33
2 22 45
4 9 2
^ 8 27 56
« 8 25 14
-r-Z 42
10
9 27 50
2 23 38
4 22 45
«23 7 33
^23 5 35
— I 58
II
10 20 48
2 24 31
5 6 15
Hi 7 42 20
m 7 40 55
— I 25
Man. 23
20 I 15
3 5 5
10 0 31
T13 49 51
T13 48 25
— I 2d
7z^«/V. I
2 59 13
3 12 7
I 12 36
a 4 58 27
a 4 59 10
4-0 43
8
9 7 21
3 18 \6
4 18 52
n.16 52 53
TII16 52 8
— 0 45
9
10 0 6
3 19 9
5 I 47
/ 0 52 40
/ 0 52 31
— 0 9
22
20 12 16
4 0 31
10 4 56
^) 16 48 13
y l5 44 20
—3 53
yz/?z//. 24
21 56 40
4 2 17
4 14 36
II 0 19
114 15 54
114 12 0
—3 54
Julii. 9
10 31 56
5 8 56
^ 6 49 27
V? 6 51 17
-l-i 50
21
19 43 27
4 25 7
9 28 2
I 7 42 27
TT 7 3^ 53
—5 34
i2
20 37 34
4 26 0
10 11 3
IC21 40 45
2121 34 27
—5 18
., ,.. 3°
3 14 25
5 2 12
I 19 59
{iii 8 32 38
« 8 35 20
-f 2 42
JuULii
4 7 45
5 3 5
2 4 7
«23 29 26
^^^ 32 17
+2 51
Aug.'.: I
5 0 25
5 3 58
2 17 54
ni 8 I 30
ITi 8 6 0
+4 30
3
6 45 18
5 5 45
3 14 22
/ 6 2 32
/ 6 5 35
-!-3 3
4
7 38 29
5 6 38
3 27 I
/19 33 52
/19 35 47
-^-i 55
8
10 54 7
5 10 10
5 14 5
^io 54 57
JwIlO 57 58
-1-3 I
21
21 13 20
5 21 42
10 18 5(5
S28 38 20
S28 30 55
—7 25
^z^^. 31
5 32 25
5 29 47
2 25 55
/15 2 12
/15 4 54
-1-2 42
Sept. 2
7 15 29
6 I 34
3 20 50
^A^ii 36 48
'\A?II 40 6
+3 18
29
5 9 8
d 25 4
2 18 54
V? 6 46 38
\^ 6 47 54
,-M 16
€ r
LUNJ ME(S^IT> 1 JKjE LONG ITUD INES
GRENOFICI 0 B S E RV AT M
CUM COMPUTO NOSTRO COLLATE
Anno J u L I A N o MDCCXXXVI.
Tranjitus Limbi
Ltinoe T, ceq.
Argument.
Annnum.
S. 0 /
6 26 53
6 28 42
6 29 36
7 I 25
7 2 20
7 13 20
Dijiant'ia
€^@
Soy
3 13 10
4 6 12
4 17 24
5 9 31
5 20 36
10 22 49
3 26 57
4 8 II
3 5 29
Longitudo
Centri Luna
Obfervata.
0 / //
Longituh
Centri Luna
Compuf.
Error.
Comp,
U. H, D. / // .
0 1 ji
( "
oaob. I 6 48 28
3 8 19 24
4 9 2 40
6 10 27 59
7 11 12 29
OSiob. 19 21 24 0
Nov. I 7 42 8
2 8 24 24
Nov. 29 6 20 2
Dec. 24 2 /\6 ^6
26 4 14 52
Anno
Jan. 3 ID 27 8
iw 2 41 12
i«;27 25 52
H 9 35 28
T 3 54 II
Tn5 10 32
« 0 32 57
«« 2 42 29
i^27 28 18
K 9 38 20
X 3 H 58
.1X6 10 10
i^ 0 28 32
-fi 17
-1-2 26
+ 2 52
-t-o 47
0 2 2
—4 25
7 24 25
7 25 20
8 19 30
K17 14 22
K29 21 5^
K24 28 32
K17 1442
K29 22 36
K24 27 20
-fo 20
-1-0 40
—I 12
9 II 55
9 13 4^
U L I A N
9 21 13
1 9 2<5
2 2 19
0 MDCC
5 6 48
^s2^ 34 ^
K19 22 36
XXXVII. c
S I 22 40
1^24 33 4
K19 21 24
'urrente.
S I 20 13
T20 56 0
«15 30 45
«28 8 25
124 31 8
—I 12
—2 27
25 4 17 28
27 5 44 57
:: 28 6 31 36
30 8 12 17
10 10-46
10 12 37
10 13 32
10 15 23
2 3 32
2 26 27
3 8 14
4 2 49
T20 58 5
e5i5 30 33
y 28 7 50
I24 30 55
5 5 53 7
ITiS 46 10
©2 310
S15 47 45
—2 5
-f-O 12
+0 35
-1-0 13
—I 17
H-o 3
4-0 8
— 0 42
— 0 20
—I 8
-Kg 44
— 0 35
-Yo 2
-l-I 20
-l-o 22
0 35
H-2 IO.J
Feb. 25 5 1 3 I
26 6 2 IS
27 6 53 44
Feb. 28 7 47 15
11 8 24
II 9 19
II 10 14
11 11 9
2 17 16
2 29 30
3 II 57
3 24 49
3 18 18
4 I 57
5 1448
2 29 49
3 13 22
I 16 22
1 X9 14
2 12 27
3 23 47
2 9 15
IT 5 51 50
2ri8 46 13
S 2 3 18
S15 47 4
SI 8 0 49
SI22 28 42
ft 8 25 3J
a 17 I 8
W I Id 30
©29- 0 II
a 12 45 50
a25 46 25
ftiO 12 15
nj^2i 9 42
Mart. 29 7 24 55
30 8 19 6
Apri. 211 4 10
0 6 52
0 7 26
0 10 8
a 8 I 9
a 22 29 50
^ 8 24 49
26 6 II 24
yf/.r/. 27 7 3 48
Mz//. 22 3 16 4
23 4 8 21
24 5 0 19
Mail 27 7 35 15
Junii 22 4 40 56
I 0 39
I I 33
I 22 44
I 23 37
I 24 30
1 27 8
2 19 5
^17 I 43
up I 16 28
S29 0 18
SI12 45 30
^26 46 3
ftiO 12 50
T|l!2i 7 32
LUN^ ME<I(IDI JNy€ L 0 K G ITUD IK E S
G RE NOVIC I O'BSERVATjE
CUM COMPUTO NOSTRO C 0 L L J T .€.
Anno JuLiANo MD CCXXXVIL Cunente.
Tranfitm Umhi
Luna T. aq.
Argument.
Anmium.
Diflantia
S. 0 '
LoKgituJo
Centri Luna.
Ohfervata.
0 i' //
Longitudo
Centri Luna
Comput.
Error
Comp.
M. H.
D. 1» //
^ 0 /
3 4 52
3 6 37
3 7 30
0 f /1
1 //
Ju/iL lo
12
13
19 40 8
21 17 35
22 9 42
9 27 3
10 20 47
11 3 0
^25 57 0
ITai 38 14
S 5 0 44
'6 25 54 18
121 3d 50
S 4 58 25
—2 42
— I 24
-~2 19
24
Ju/u. 26
7 I 16
8 52 20
3 1(5 20
3 18 6
3 18 8
4 15 4
2 3 10
(((29 59 42
/28 49 2
niio 38 I
/0 I 22
/28 49 14
Til 10 42 31
+ 1 40
-l-O 12
+4 30
-!-o 57
-M II
+ 1 43
—2 23
—3 53
—3 33
-2 38
—3 Id
—2 35
—2 18
— 0 58
-3 40
+ 1 38
+ 1 31
+0 32
Aug. 19
4 2 14
4 8 2S
Sept. 19
20
Sept. 21
5 38 32
d 33 6
7 25 29
5 5 24
5 6 19
5 7 13
2 2d 29
3 9 39
3 22 23
"V? 4 ID 9
V?i8 d 3
i^ I 37 27
^ ^ II 6
^18 7 14
^ I 39 10
iVb-u. 1 3
16
17
18
19
2[
22
7«««. 14
Feb. 1 1
17
18
Feb. 20
2 9 41
4 55 0
5 43 20
6 28 56
7 12 38
8 37 25
9 20 I
Anno
4 28 25
3 5 10
7 37 52
8 28 10
10 12 7
d 24 2
6 26 50
5 27 46
6 28 41
6 29 37
7 I 28
7 ^ 24
JULIANO
8 19 59
9 15 0
9 20 30
9 21 25
9 23 15
10 TO 37
10 13 19
1 2 49
2 12 35
2 24 59
3 7 I
3 18 43
4 II 24
4 22 31
MDCCX
2 5 40
I *4 21
3 23 13
4 5 12
500
V? 5 55 20
«^18 37 25
K I 47 5
K14 32 38
K27 2 27
T21 31 57
« 3 42 4d
XXVIII. c
Til 38 39
T18 45 47
S 2 57 25
S15 50 53
^12 43 50
V? 5 52 57
^18 33 32
H 1 43 32
H14 30 0
K2d 59 II
T21 29 22
a 3 40 28
jrrente.
Tii 37 41
T18 42 7
S 2 59 3
S15 52 24
S\,i2 44 22
2 26 40
4 41 58
1 5 17
2 9 5
y 8 32 41
1115 20 6
S18 4 58
SI 0 48 58
SI27 19 54
n^25 44 27
« 8 31 18
iri5 21 28
-I 23
+ 1 22
-fo 53
-t-i 55
-fi 19
+0 27
Aprii. 14
. .. '7
^m. 19
5 I 35
5 51 2
7 31 0
9 12 50
II 9 24
II 10 17
II 12 4
II 13 51
2 12 27
2 24 26
3 19 29
4 Id II
S18 J 51
R 0 50 33
^27 21 13
W2S 44 54
Maii. 15
Id
18
19
20
6 14 2
7 3 15
8 45 7
9 39 9
10 36 7
0 d 0
0 6 52
0 8 38
0 9 31
0 10 24
3 0 34
3 13 39
4 II 4
4 25 18
5 9 48
ni? 5 39 50
W19 27 43
fti8 33 57
% 3 51 30
^119 34 34
^^ 5 39 55
W-ip 27 20
^,18 31 42
ITl 3 49 30
nii9 31 37
+ 0 5
— 0 23
—2 15
— 2 0
^2 57
LUN^ ME^rDUn^ LOKGITWDIUES
GRENOVICI OBSERFJTyF.
CUM COMPUrO NOSTRO COLLATM.
Anno J u L I A N o M D CC XXXVHI. Cui-rente.
Tranfitus Limit
LuJitsi T. ag.
Argument.
Ammum.
S. 0 f
Diflantia
Longitudo
Centri Luutz
Ohfervata.
Longitido
CentriLunx
Comput.
0 / //
Error
Comf.
M. D.
H. / //
S. 0 /
2 0 3
3 9 10
3 22 57
5 5 51
0 / //
/ //
^unii. 1 1
Ce7it. 14
18
4 II 14
6 38 21
7 28 20
10 18 9
0 28 51
1 I 28
I 2 21
I 5 0
IT{) I 19 40
fti2 42 47
{f^27 18 40
/13 23 19
ny I 21 I
«12 41 3.5
G27 15 48
/13 17 34
+ 1 21
— I 12
—2 52
—5 45
'Julii. 15
17
7»///. 30
8 5 13
9 4 5
10 4 31
20 46 40
I 27 49
I 28 42
I 29 35
211 2
4 3 46
4 17 59
5 2, 9
10 13 3
/ 6 49 22
/22 2 25
V? 7 19 0
S 0 55 50
/ 6 45 54
/21 58 20
'V'? 7 14 36
S 0 55 31
—3 28
—4 5
—4 24
-1-0 41
+0 43
— 0 53
— I 3
—0 54
-l-i 48
-^_2j
—2 51
—3 2
—2 44
— 0 7
Aug. II
Sep. 11
12
Sep. 13
5 59 18
7 44 20
8 39 43
9 32 41
2 20 46
3 17 36
3 18 30
3 19 25
3 2 41
3 27 4
4 10 26
4 25 30
/ I 56 44
V?25 12 32
JwsIO 27 10
^24 29 0
■^21 51 18
K 3 52 26
/ I 57 27
V?26 11 39
WKio 26 7
t^24 28 6
OBo. 8
OBo. II
5 40 0
8 20 0
4 II 12
4 13 57
2 25 35
4 5 16
^21 53 d
K 3 52 3
6
8
A^(51». 10
4 29 57
5 25 42
7 6 45
8 37 44
5 6 3
5 6 59
5 8 50
5 10 41
2 d 37
2 20 17
3 16 21
4 10 45
XJ^ I 19 33
^15 44 57
ffi3 16 46
T 9 27 12
i^ I 16 42
^iS 41 55
K13 14 2
T 9 27 5
D.'f. 8
* 12
Feb. 2
3
4
7 20 36
5 27 6
Anno
4 38 49
5 23 54
6 9 14
7 42 6
6 5 49
6 9 22
Julian
7 26 7
7 27 3
7 27 58
7 29 48
3 20 51
5 4 ^
3 MDCC
2 8 39
2 20 33
3 2 12
3 25 3
T18 10 47
It 5 iS 48
XXXIX. c
» 3 3P 5
^ 16 25 30
«28 56 8
ir23 28 33
T18 9 9
IT 5 30 5
urrente.
g 3 29 45
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